diff --git a/modules/solid_mechanics/neml2/include/Multilinear6DInterpolationModel.h b/modules/solid_mechanics/neml2/include/Multilinear6DInterpolationModel.h
new file mode 100644
index 000000000000..7f324bcf22e3
--- /dev/null
+++ b/modules/solid_mechanics/neml2/include/Multilinear6DInterpolationModel.h
@@ -0,0 +1,74 @@
+#pragma once
+
+#include "neml2/models/Model.h"
+#include "nlohmann/json.h"
+
+namespace neml2
+{
+class Multilinear6DInterpolationModel : public Model
+{
+public:
+  Multilinear6DInterpolationModel(const OptionSet & options);
+
+  static OptionSet expected_options();
+
+protected:
+  void set_value(bool, bool, bool) override;
+
+  /// grid for interpolation
+  Scalar _stress_grid;
+  Scalar _temperature_grid;
+  Scalar _plastic_strain_grid;
+  Scalar _cell_grid;
+  Scalar _wall_grid;
+  Scalar _env_grid;
+
+  /// grid values being interpolated
+  Scalar _grid_values;
+
+  /// Model input for interpolation
+  // @{
+  /// The von Mises stress
+  const Variable<Scalar> & _s;
+  /// Temperature
+  const Variable<Scalar> & _T;
+  /// The creep strain
+  const Variable<Scalar> & _ep;
+  /// cell dislocation density
+  const Variable<Scalar> & _cell_dd;
+  /// wall dislocation density
+  const Variable<Scalar> & _wall_dd;
+  /// environmental factor
+  const Variable<Scalar> & _env_fac;
+  // @}
+
+  /// Model output
+  // @{
+  /// output rate
+  Variable<Scalar> & _output_rate;
+  // @}
+
+  /// JSON object containing interpolation grid and values
+  nlohmann::json _json;
+
+  /// find index of input point
+  std::pair<Scalar, Scalar> findLeftIndexAndFraction(const Scalar & grid,
+                                                     const Scalar & interp_points);
+
+  /// compute interpolated value and transform results
+  Scalar interpolate_and_transform();
+
+  /// transform output data
+  virtual Scalar transform(const Scalar & data) = 0;
+
+  ///read 6D grid date from json and store in Torch tensor
+  Scalar json_6Dvector_to_torch(std::string key);
+
+private:
+  ///read 1D vector of grid points from json and store in Torch tensor
+  Scalar json_vector_to_torch(std::string key);
+  /// compute interpolated value
+  Scalar compute_interpolation(const std::vector<std::pair<Scalar, Scalar>> index_and_fraction,
+                               const Scalar grid_values);
+};
+} // namespace neml2
diff --git a/modules/solid_mechanics/neml2/include/TabulatedDislocationDensity.h b/modules/solid_mechanics/neml2/include/TabulatedDislocationDensity.h
new file mode 100644
index 000000000000..5bd2d1f64128
--- /dev/null
+++ b/modules/solid_mechanics/neml2/include/TabulatedDislocationDensity.h
@@ -0,0 +1,27 @@
+#pragma once
+
+#include "Multilinear6DInterpolationModel.h"
+
+namespace neml2
+{
+class TabulatedDislocationDensity : public Multilinear6DInterpolationModel
+{
+public:
+  TabulatedDislocationDensity(const OptionSet & options);
+
+  static OptionSet expected_options();
+
+protected:
+  void set_value(bool, bool, bool) override;
+  /// transform output data
+  virtual Scalar transform(const Scalar & data) override;
+
+private:
+  /// Struct members from CompressTransform in lafleur struct
+  //@{
+  const Real _factor;
+  const Real _compressor;
+  const Real _original_min;
+  //@}
+};
+} // namespace neml2
diff --git a/modules/solid_mechanics/neml2/include/TabulatedEffectiveStrain.h b/modules/solid_mechanics/neml2/include/TabulatedEffectiveStrain.h
new file mode 100644
index 000000000000..09e67d6e733d
--- /dev/null
+++ b/modules/solid_mechanics/neml2/include/TabulatedEffectiveStrain.h
@@ -0,0 +1,30 @@
+#pragma once
+
+#include "Multilinear6DInterpolationModel.h"
+
+namespace neml2
+{
+class TabulatedEffectiveStrain : public Multilinear6DInterpolationModel
+{
+public:
+  TabulatedEffectiveStrain(const OptionSet & options);
+
+  static OptionSet expected_options();
+
+protected:
+  void set_value(bool, bool, bool) override;
+
+  /// transform output data
+  virtual Scalar transform(const Scalar & data) override;
+
+private:
+  /// Struct members from Log10Transform struct in laromance
+  //@{
+  const Real _factor;
+  const Real _lowerbound;
+  const Real _upperbound;
+  const Real _logmin;
+  const Real _logmax;
+  //@}
+};
+} // namespace neml2
diff --git a/modules/solid_mechanics/neml2/src/Multilinear6DInterpolationModel.cxx b/modules/solid_mechanics/neml2/src/Multilinear6DInterpolationModel.cxx
new file mode 100644
index 000000000000..c5a2c9e1cfea
--- /dev/null
+++ b/modules/solid_mechanics/neml2/src/Multilinear6DInterpolationModel.cxx
@@ -0,0 +1,186 @@
+#include "Multilinear6DInterpolationModel.h"
+#include <fstream>
+#include <initializer_list>
+
+namespace neml2
+{
+
+OptionSet
+Multilinear6DInterpolationModel::expected_options()
+{
+  auto options = Model::expected_options();
+  options.doc() = "Multilinear interpolation over six dimensions (von_mises_stress, temperature, "
+                  "equivalent_plastic_strain, cell_dd_density, wall_dd_density, env_factor)";
+  // Model inputs
+  options.set<VariableName>("equivalent_plastic_strain") = VariableName("state", "ep");
+  options.set<VariableName>("von_mises_stress") = VariableName("state", "s");
+
+  options.set<VariableName>("cell_dd_density") = VariableName("old_state", "cell_dd");
+  options.set<VariableName>("wall_dd_density") = VariableName("old_state", "wall_dd");
+
+  options.set<VariableName>("temperature") = VariableName("forces", "T");
+  options.set<VariableName>("env_factor") = VariableName("forces", "env_fac");
+  // Model Outputs
+  options.set_output("output_rate");
+  // JSON
+  options.set<std::string>("model_file_name");
+  options.set<std::string>("model_file_variable_name");
+
+  options.set<bool>("_use_AD_first_derivative") = true;
+  options.set<bool>("_use_AD_second_derivative") = true;
+  return options;
+}
+
+Multilinear6DInterpolationModel::Multilinear6DInterpolationModel(const OptionSet & options)
+  : Model(options),
+    _s(declare_input_variable<Scalar>("von_mises_stress")),
+    _T(declare_input_variable<Scalar>("temperature")),
+    _ep(declare_input_variable<Scalar>("equivalent_plastic_strain")),
+    _cell_dd(declare_input_variable<Scalar>("cell_dd_density")),
+    _wall_dd(declare_input_variable<Scalar>("wall_dd_density")),
+    _env_fac(declare_input_variable<Scalar>("env_factor")),
+    _output_rate(declare_output_variable<Scalar>("output_rate"))
+{
+  std::string filename = options.get<std::string>("model_file_name");
+  std::ifstream model_file(filename.c_str());
+  model_file >> _json;
+  // storing grid points for indexing.
+  // these should be stored differently so that they are all read in at once.  The order of this can
+  // get messed up easily
+  _stress_grid = json_vector_to_torch("in_stress");
+  _temperature_grid = json_vector_to_torch("in_temperature");
+  _plastic_strain_grid = json_vector_to_torch("in_plastic_strain");
+  _cell_grid = json_vector_to_torch("in_cell");
+  _wall_grid = json_vector_to_torch("in_wall");
+  _env_grid = json_vector_to_torch("in_env");
+  // Storing values for interpolation
+  std::string filename_variable = options.get<std::string>("model_file_variable_name");
+  _grid_values = json_6Dvector_to_torch(filename_variable);
+}
+
+void
+Multilinear6DInterpolationModel::set_value(bool /*out*/, bool /*dout_din*/, bool /*d2out_din2*/)
+{
+  neml_assert_dbg("Multilinear6DInterpolationModel should never be called, it is only base class "
+                  "with helper functions.");
+}
+
+std::pair<Scalar, Scalar>
+Multilinear6DInterpolationModel::findLeftIndexAndFraction(const Scalar & grid,
+                                                          const Scalar & interp_points)
+{
+  // idx is for the left grid point.
+  // searchsorted returns the right idx so -1 makes it the left
+  auto left_idx = torch::searchsorted(grid, interp_points) - 1;
+
+  // this allows us to extrapolate
+  left_idx = torch::clamp(left_idx, 0, grid.sizes()[0] - 2);
+
+  Scalar left_coord = grid.index({left_idx});
+  Scalar right_coord = grid.index({left_idx + torch::tensor(1, default_integer_tensor_options())});
+  Scalar left_fraction = (right_coord - interp_points) / (right_coord - left_coord);
+
+  // derivative (only needed for stress):
+  // Scalar left_fraction_deriv = right_coord / (right_coord - left_coord);
+  // Scalar right_fraction_deriv = -left_coord / (right_coord - left_coord);
+
+  neml_assert_dbg((!torch::all(left_fraction.gt(1)).item<bool>() &&
+                   !torch::all(left_fraction.lt(0)).item<bool>()),
+                  "Interpolated value outside interpolation grid.  This exception is only thrown "
+                  "in debug.  Running in opt will perform extrapolation.");
+
+  return std::pair<Scalar, Scalar>(left_idx, torch::stack({left_fraction, 1 - left_fraction}, -1));
+}
+
+Scalar
+Multilinear6DInterpolationModel::compute_interpolation(
+    const std::vector<std::pair<Scalar, Scalar>> index_and_fraction, const Scalar grid_values)
+{
+  Scalar result = Scalar::zeros_like(_T);
+  for (const auto i : {0, 1})
+    for (const auto j : {0, 1})
+      for (const auto k : {0, 1})
+        for (const auto l : {0, 1})
+          for (const auto m : {0, 1})
+            for (const auto n : {0, 1})
+            {
+
+              auto vertex_value =
+                  grid_values.index({(index_and_fraction[0].first +
+                                      torch::tensor(i, default_integer_tensor_options())),
+                                     (index_and_fraction[1].first +
+                                      torch::tensor(j, default_integer_tensor_options())),
+                                     (index_and_fraction[2].first +
+                                      torch::tensor(k, default_integer_tensor_options())),
+                                     (index_and_fraction[3].first +
+                                      torch::tensor(l, default_integer_tensor_options())),
+                                     (index_and_fraction[4].first +
+                                      torch::tensor(m, default_integer_tensor_options())),
+                                     (index_and_fraction[5].first +
+                                      torch::tensor(n, default_integer_tensor_options()))});
+              auto weight = index_and_fraction[0].second.select(-1, i) *
+                            index_and_fraction[1].second.select(-1, j) *
+                            index_and_fraction[2].second.select(-1, k) *
+                            index_and_fraction[3].second.select(-1, l) *
+                            index_and_fraction[4].second.select(-1, m) *
+                            index_and_fraction[5].second.select(-1, n);
+              result += vertex_value * weight;
+            }
+  return result;
+}
+
+/// compute interpolated value
+Scalar
+Multilinear6DInterpolationModel::interpolate_and_transform()
+{
+  std::vector<std::pair<Scalar, Scalar>> left_index_weight;
+  left_index_weight.push_back(findLeftIndexAndFraction(_stress_grid, _s));
+  left_index_weight.push_back(findLeftIndexAndFraction(_temperature_grid, _T));
+  left_index_weight.push_back(findLeftIndexAndFraction(_plastic_strain_grid, _ep));
+  left_index_weight.push_back(findLeftIndexAndFraction(_cell_grid, _cell_dd));
+  left_index_weight.push_back(findLeftIndexAndFraction(_wall_grid, _wall_dd));
+  left_index_weight.push_back(findLeftIndexAndFraction(_env_grid, _env_fac));
+  Scalar interpolated_result = compute_interpolation(left_index_weight, _grid_values);
+  Scalar transformed_result = transform(interpolated_result);
+  return transformed_result;
+}
+
+Scalar
+Multilinear6DInterpolationModel::json_vector_to_torch(std::string key)
+{
+  neml_assert_dbg(_json.contains(key), "The key '", key, "' is missing from the JSON data file.");
+  std::vector<Real> in_data = _json[key].template get<std::vector<Real>>();
+  const long long data_dim = in_data.size();
+  return Scalar(torch::from_blob(in_data.data(), {data_dim}).clone());
+}
+
+Scalar
+Multilinear6DInterpolationModel::json_6Dvector_to_torch(std::string key)
+{
+  neml_assert_dbg(_json.contains(key), "The key '", key, "' is missing from the JSON data file.");
+
+  std::vector<std::vector<std::vector<std::vector<std::vector<std::vector<Real>>>>>> out_data =
+      _json[key]
+          .template get<
+              std::vector<std::vector<std::vector<std::vector<std::vector<std::vector<Real>>>>>>>();
+
+  std::vector<Real> linearize_values;
+  for (auto && level0 : out_data)
+    for (auto && level1 : level0)
+      for (auto && level2 : level1)
+        for (auto && level3 : level2)
+          for (auto && level4 : level3)
+            for (auto && value : level4)
+              linearize_values.push_back(value);
+
+  long long sz_l0 = out_data.size();
+  long long sz_l1 = out_data[0].size();
+  long long sz_l2 = out_data[0][0].size();
+  long long sz_l3 = out_data[0][0][0].size();
+  long long sz_l4 = out_data[0][0][0][0].size();
+  long long sz_l5 = out_data[0][0][0][0][0].size();
+  return Scalar(
+      torch::from_blob(linearize_values.data(), {sz_l0, sz_l1, sz_l2, sz_l3, sz_l4, sz_l5})
+          .clone());
+}
+} // namespace neml2
diff --git a/modules/solid_mechanics/neml2/src/TabulatedDislocationDensity.cxx b/modules/solid_mechanics/neml2/src/TabulatedDislocationDensity.cxx
new file mode 100644
index 000000000000..41601f687eab
--- /dev/null
+++ b/modules/solid_mechanics/neml2/src/TabulatedDislocationDensity.cxx
@@ -0,0 +1,49 @@
+#include "TabulatedDislocationDensity.h"
+#include <fstream>
+#include "neml2/misc/math.h"
+
+namespace neml2
+{
+register_NEML2_object(TabulatedDislocationDensity);
+
+OptionSet
+TabulatedDislocationDensity::expected_options()
+{
+  auto options = Multilinear6DInterpolationModel::expected_options();
+  // Model constants  fixme make these required
+  options.set<Real>("factor") = 0.0;
+  options.set<Real>("compressor") = 0.0;
+  options.set<Real>("original_min") = 1.0;
+  // fixme lynn do I want to use AD because dislocations densities don't need derivative
+  options.set<bool>("_use_AD_first_derivative") = true;
+  options.set<bool>("_use_AD_second_derivative") = true;
+  return options;
+}
+
+TabulatedDislocationDensity::TabulatedDislocationDensity(const OptionSet & options)
+  : Multilinear6DInterpolationModel(options),
+    _factor(options.get<Real>("factor")),
+    _compressor(options.get<Real>("compressor")),
+    _original_min(options.get<Real>("original_min"))
+{
+}
+
+void
+TabulatedDislocationDensity::set_value(bool out, bool dout_din, bool d2out_din2)
+{
+  neml_assert_dbg(!dout_din || !d2out_din2,
+                  "Only AD derivatives are currently supported for this model");
+  if (out)
+  {
+    _output_rate = interpolate_and_transform();
+  }
+}
+
+Scalar
+TabulatedDislocationDensity::transform(const Scalar & data)
+{
+  auto d1 = math::pow(10.0, data) - 1.0 + _original_min;
+  auto transformed_data = math::sign(d1) * math::pow(math::abs(d1), 1.0 / _compressor) / _factor;
+  return transformed_data;
+}
+} // namespace neml2
diff --git a/modules/solid_mechanics/neml2/src/TabulatedEffectiveStrain.cxx b/modules/solid_mechanics/neml2/src/TabulatedEffectiveStrain.cxx
new file mode 100644
index 000000000000..fb29c44ed00d
--- /dev/null
+++ b/modules/solid_mechanics/neml2/src/TabulatedEffectiveStrain.cxx
@@ -0,0 +1,68 @@
+#include "TabulatedEffectiveStrain.h"
+#include <fstream>
+#include "neml2/misc/math.h"
+
+namespace neml2
+{
+register_NEML2_object(TabulatedEffectiveStrain);
+
+OptionSet
+TabulatedEffectiveStrain::expected_options()
+{
+  auto options = Multilinear6DInterpolationModel::expected_options();
+  // Model constants
+  options.set<Real>("factor");
+  options.set<Real>("lowerbound");
+  options.set<Real>("upperbound");
+  options.set<Real>("logmin");
+  options.set<Real>("logmax");
+  // fixme lynn do I want to use AD
+  options.set<bool>("_use_AD_first_derivative") = true;
+  options.set<bool>("_use_AD_second_derivative") = true;
+  return options;
+}
+
+TabulatedEffectiveStrain::TabulatedEffectiveStrain(const OptionSet & options)
+  : Multilinear6DInterpolationModel(options),
+    _factor(options.get<Real>("factor")),
+    _lowerbound(options.get<Real>("lowerbound")),
+    _upperbound(options.get<Real>("upperbound")),
+    _logmin(options.get<Real>("logmin")),
+    _logmax(options.get<Real>("logmax"))
+{
+}
+
+void
+TabulatedEffectiveStrain::set_value(bool out, bool dout_din, bool d2out_din2)
+{
+  neml_assert_dbg(!dout_din || !d2out_din2,
+                  "Only AD derivatives are currently supported for this model");
+  if (out)
+  {
+    _output_rate = interpolate_and_transform();
+  }
+  // fixme lynn this will work best if transform and interpolation are called seperatly
+  // if (dout_din)
+  // {
+  //  put untransformed _output_rate into d_transform.  Multiply that by derivative of interpolation
+  //   _output_rate.d(_s) = d_transform(compute_interpolation)*d_interpolation;
+  // }
+}
+
+Scalar
+TabulatedEffectiveStrain::transform(const Scalar & data)
+{
+  Real range = _upperbound - _lowerbound;
+  auto transformed_data =
+      (math::pow(10.0, ((data - _lowerbound) * (_logmax - _logmin) / range) + _logmin) - _factor);
+  return transformed_data;
+}
+
+// need derivative of transform too
+//  if (derivative)
+//  {
+//    x = std::pow(10, ((logmax - logmin) * (x - lowerbound) / range + logmin)) *
+//        (std::log(10) * (logmax - logmin) / range);
+//  }
+
+} // namespace neml2
diff --git a/modules/solid_mechanics/solid_mechanics.mk b/modules/solid_mechanics/solid_mechanics.mk
index 9407db2c4626..b042eaa1138e 100644
--- a/modules/solid_mechanics/solid_mechanics.mk
+++ b/modules/solid_mechanics/solid_mechanics.mk
@@ -1,5 +1,6 @@
 # NEML2
 ADDITIONAL_NEML2_DIRS += $(APPLICATION_DIR)/test/neml2
+ADDITIONAL_NEML2_DIRS += $(CURDIR)/neml2
 
 include $(APPLICATION_DIR)/contrib/neml2.mk
 
diff --git a/modules/solid_mechanics/src/neml2/userobjects/NEML2ModelExecutor.C b/modules/solid_mechanics/src/neml2/userobjects/NEML2ModelExecutor.C
index 7fa23e0ad1cd..9454bc9817f2 100644
--- a/modules/solid_mechanics/src/neml2/userobjects/NEML2ModelExecutor.C
+++ b/modules/solid_mechanics/src/neml2/userobjects/NEML2ModelExecutor.C
@@ -269,6 +269,8 @@ NEML2ModelExecutor::applyPredictor()
 {
   if (!model().input_axis().has_state())
     return;
+  if (!model().input_axis().has_old_state())
+    return;
 
   // Set trial state variables (i.e., initial guesses).
   // Right now we hard-code to use the old state as the trial state.
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/gold/interpolate_neml2_out.csv b/modules/solid_mechanics/test/tests/neml2/interpolated_material/gold/interpolate_neml2_out.csv
new file mode 100644
index 000000000000..6c8fdd4e392f
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/gold/interpolate_neml2_out.csv
@@ -0,0 +1,244 @@
+time,creep_rate_pp,rhoi_rate_pp,rhom_rate_pp
+0,0,0,0
+1,4.2204743882363e-07,-4213157131726.5,-42256250538.717
+2,4.2227264532896e-07,-4218692078157.5,-42118216694.651
+3,4.2094946748812e-07,-4217761058568,-42217037150.927
+4,4.1931086224077e-07,-4208343029541.2,-42326812564.76
+5,4.2107637203245e-07,-4250423520096,-42242160267.831
+6,4.2092940691861e-07,-4220179906102.7,-42200467838.734
+7,4.2034371478429e-07,-4231946650209.2,-42103604823.645
+8,4.2039063631385e-07,-4227449191043.3,-41976580518.019
+9,4.2196829313198e-07,-4224317367285.6,-42162100491.119
+10,4.2037115479335e-07,-4226416791276.6,-42148988829.926
+11,4.2040665701017e-07,-4207812872827.7,-41923383486.989
+12,4.2184515059363e-07,-4218561543722.3,-42147986636.454
+13,4.2028443733094e-07,-4213170118808.1,-42174394486.063
+14,4.2065830637228e-07,-4199260304830.2,-41973260693.078
+15,4.2045919776454e-07,-4206120088477.7,-42199805757.379
+16,4.2023068518121e-07,-4208426677020.7,-42180526586.168
+17,4.2074541772068e-07,-4222776760048.4,-42261926966.717
+18,4.2159980226316e-07,-4215512019608.8,-42289237888.923
+19,4.2024059178568e-07,-4232916706835.5,-42167279620.306
+20,4.1959767161861e-07,-4241998853689.1,-42287301541.301
+21,4.1966940663808e-07,-4197023376448.2,-42112919802.054
+22,4.1845885458685e-07,-4219370422863.9,-42262382373.86
+23,4.1816569922899e-07,-4247992061612.7,-42138696595.254
+24,4.2150132496022e-07,-4195636611972.6,-42139454636.985
+25,4.1984109441105e-07,-4195690593297.9,-42341138588.136
+26,4.1822664506905e-07,-4212372521343.4,-42201310340.479
+27,4.202713246879e-07,-4211839595988.6,-42091615535.596
+28,4.2348501549426e-07,-4220030917153.5,-42084394930.294
+29,4.2303549687893e-07,-4223087838083.7,-42115079206.796
+30,4.2206630507079e-07,-4215628423801.2,-42095675068.517
+31,4.1911735976984e-07,-4216499037159.3,-42020001902.053
+32,4.1850528383695e-07,-4233248203072.1,-42103787057.46
+33,4.2352096319909e-07,-4203663480304.1,-42340122492.141
+34,4.1976346271638e-07,-4226714725601.3,-42125295749.562
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diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/gold/moose_neml2_return_mapping_out.csv b/modules/solid_mechanics/test/tests/neml2/interpolated_material/gold/moose_neml2_return_mapping_out.csv
new file mode 100644
index 000000000000..38943ff6c378
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/gold/moose_neml2_return_mapping_out.csv
@@ -0,0 +1,22 @@
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+95,2.0662450256032e-07,3.0165894694839e-05,-6.0142905522056e+14,-12652091078964,-4381303842310.5,-55353107376.517,4.209824541,200.13131338313
+100,1.9141471140455e-07,3.1122968251771e-05,-6.7568556947679e+14,-14851302851245,-4668729008245.1,-57485033186.923,4.417207625,200.13150498063
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/interpolate_neml2.i b/modules/solid_mechanics/test/tests/neml2/interpolated_material/interpolate_neml2.i
new file mode 100644
index 000000000000..7bd9b62e53e1
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/interpolate_neml2.i
@@ -0,0 +1,133 @@
+sample_file = "models/sampled_combinations.csv"
+
+[Mesh]
+  [gmg]
+    type = GeneratedMeshGenerator
+    dim = 1
+  []
+[]
+[Variables]
+  [dummy_var]
+  []
+[]
+[Problem]
+  kernel_coverage_check = false
+[]
+
+# -- interpolation grids in  'models/random_value_grid.json'
+# "in_stress": [0.0, 30, 60, 100, 130, 160, 200, 230, 260, 320.0],
+# "in_temperature": [600, 650, 750, 800, 850, 900, 950, 1000, 1100, 1200.0],
+# "in_plastic_strain": [0.0, 0.0001, 0.001, 0.01],
+# "in_cell": [1000000.0, 10000000000000.0],
+# "in_wall": [1000000000000.0, 10000000000000.0],
+# "in_env": [1e-09, 1e-06],
+[Functions]
+  [vmStress_fcn]
+    type = PiecewiseConstant
+    data_file = ${sample_file}
+    x_index_in_file = 0
+    y_index_in_file = 1
+    format = columns
+    xy_in_file_only = false
+    direction = LEFT_INCLUSIVE
+  []
+  [temperature_fcn]
+    type = PiecewiseConstant
+    data_file = ${sample_file}
+    x_index_in_file = 0
+    y_index_in_file = 2
+    format = columns
+    xy_in_file_only = false
+    direction = LEFT_INCLUSIVE
+  []
+  [epStrain_fcn]
+    type = PiecewiseConstant
+    data_file = ${sample_file}
+    x_index_in_file = 0
+    y_index_in_file = 3
+    format = columns
+    xy_in_file_only = false
+    direction = LEFT_INCLUSIVE
+  []
+  [celldd_fcn]
+    type = PiecewiseConstant
+    data_file = ${sample_file}
+    x_index_in_file = 0
+    y_index_in_file = 4
+    format = columns
+    xy_in_file_only = false
+    direction = LEFT_INCLUSIVE
+  []
+  [walldd_fcn]
+    type = PiecewiseConstant
+    data_file = ${sample_file}
+    x_index_in_file = 0
+    y_index_in_file = 5
+    format = columns
+    xy_in_file_only = false
+    direction = LEFT_INCLUSIVE
+  []
+  [env_fcn]
+    type = PiecewiseConstant
+    data_file = ${sample_file}
+    x_index_in_file = 0
+    y_index_in_file = 6
+    format = columns
+    xy_in_file_only = false
+    direction = LEFT_INCLUSIVE
+  []
+[]
+
+[Materials]
+  [in_materials]
+    type = GenericFunctionMaterial
+    prop_names = 'vmStress temperature epStrain celldd walldd env'
+    prop_values = 'vmStress_fcn temperature_fcn epStrain_fcn celldd_fcn walldd_fcn env_fcn'
+  []
+[]
+
+[NEML2]
+  input = 'models/interpolation_material.i'
+  [all]
+    model = 'combined_model'
+    verbose = true
+    device = 'cpu'
+
+    moose_input_types = 'MATERIAL MATERIAL MATERIAL MATERIAL MATERIAL MATERIAL'
+    moose_inputs =      'epStrain vmStress temperature celldd walldd env'
+    neml2_inputs =      'state/ep state/s forces/T forces/cell_dd forces/wall_dd forces/env_fac'
+
+    moose_output_types = 'MATERIAL MATERIAL MATERIAL'
+    moose_outputs = 'ep_rate cell_rate wall_rate'
+    neml2_outputs = 'state/ep_rate state/cell_rate state/wall_rate'
+  []
+[]
+
+[Executioner]
+  type = Transient
+  nl_abs_tol = 1e-1 # Nothing is really being solved here, so loose tolerances are okay
+  dt = 1
+  dtmin=1
+  end_time = 3 #242
+  timestep_tolerance = 1e-3
+[]
+
+[Postprocessors]
+  [cell_rate_pp]
+    type = ElementAverageMaterialProperty
+    mat_prop = cell_rate
+  []
+  [wall_rate_pp]
+    type = ElementAverageMaterialProperty
+    mat_prop = wall_rate
+  []
+  [creep_rate_pp]
+    type = ElementAverageMaterialProperty
+    mat_prop = ep_rate
+  []
+[]
+
+[Outputs]
+  csv = true
+  execute_on = 'INITIAL TIMESTEP_END FINAL'
+[]
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/interp_matl_radial_return.i b/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/interp_matl_radial_return.i
new file mode 100644
index 000000000000..66b5929a0391
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/interp_matl_radial_return.i
@@ -0,0 +1,171 @@
+# HT9 Lafleur model input
+# UNITS are MPa
+[Solvers]
+  [newton]
+    type = Newton
+    abs_tol = 1e-8
+    rel_tol = 1e-6
+    # verbose = true
+  []
+[]
+[Models]
+  #####################################################################################
+  # Compute the invariant plastic flow direction since we are doing J2 radial return
+  #####################################################################################
+  [trial_elastic_strain]
+    type = SR2LinearCombination
+    to_var = 'state/Ee'
+    from_var = 'forces/E old_state/Ep'
+    coefficients = '1 -1'
+  []
+  [cauchy_stress]
+    type = LinearIsotropicElasticity
+    youngs_modulus = 170e3 #MPa
+    poisson_ratio = 0.266
+    strain = 'state/Ee'
+    stress = 'state/S'
+  []
+  [flow_direction]
+    type = J2FlowDirection
+    mandel_stress = 'state/S'
+    flow_direction = 'forces/N'
+  []
+  [trial_state]
+    type = ComposedModel
+    models = 'trial_elastic_strain cauchy_stress flow_direction'
+  []
+
+  #####################################################################################
+  # Stress update
+  #####################################################################################
+  [ep_rate]
+    type = ScalarVariableRate
+    variable = 'state/ep'
+    #  rate = 'state/ep_rate' #fixme do I need this
+  []
+  [plastic_strain_rate]
+    type = AssociativePlasticFlow
+    flow_direction = 'forces/N'
+    flow_rate = 'state/ep_rate'
+    plastic_strain_rate = 'state/Ep_rate'
+  []
+  [plastic_strain]
+    type = SR2ForwardEulerTimeIntegration
+    variable = 'state/Ep'
+  []
+  [plastic_update]
+    type = ComposedModel
+    models = 'ep_rate plastic_strain_rate plastic_strain'
+  []
+  [elastic_strain]
+    type = SR2LinearCombination
+    to_var = 'state/Ee'
+    from_var = 'forces/E state/Ep'
+    coefficients = '1 -1'
+  []
+  [stress_update]
+    type = ComposedModel
+    models = 'elastic_strain cauchy_stress'
+  []
+
+  #####################################################################################
+  # Compute the rates of equivalent plastic strain and internal variables
+  #####################################################################################
+  [vonmises]
+    type = SR2Invariant
+    invariant_type = 'VONMISES'
+    tensor = 'state/S'
+    invariant = 'state/s'
+  []
+  [rom_ep]
+    type = TabulatedEffectiveStrain
+    model_file_name = 'models/random_value_6d_grid.json'
+    model_file_variable_name = 'out_ep'
+    output_rate = 'state/ep_rate'
+    # grid nodes
+    von_mises_stress = 'state/s'
+    equivalent_plastic_strain = 'state/ep'
+    # fixme lynn sort out forces from old_forces from state.  wall & cell_dd should be old_forces.  env_fac never changes.
+    cell_dd_density = 'old_state/cell_dd'
+    wall_dd_density = 'old_state/wall_dd'
+    temperature = 'forces/T'
+    env_factor = 'forces/env_fac'
+    # log10 transform variables
+    factor = 0.0
+    lowerbound = 0.0
+    upperbound = 1.0
+    logmin = -12
+    logmax = 4
+  []
+  [integrate_ep]
+    type = ScalarBackwardEulerTimeIntegration
+    variable = 'state/ep'
+  []
+  [rate]
+    type = ComposedModel
+    models = "plastic_update stress_update vonmises rom_ep
+              integrate_ep"
+  []
+  [radial_return]
+    type = ImplicitUpdate
+    implicit_model = 'rate'
+    solver = 'newton'
+  []
+  #####################################################################################
+  # Extra materials that evolve dislocation densities FIXME lynn I don't know how to evolve these
+  #####################################################################################
+  [rom_cell]
+    type = TabulatedDislocationDensity
+    model_file_name = 'models/random_value_6d_grid.json'
+    model_file_variable_name = 'out_cell'
+    output_rate = 'state/cell_rate'
+    # grid nodes
+    von_mises_stress = 'state/s'
+    equivalent_plastic_strain = 'state/ep'
+    cell_dd_density = 'old_state/cell_dd'
+    wall_dd_density = 'old_state/wall_dd'
+    temperature = 'forces/T'
+    env_factor = 'forces/env_fac'
+    # compress transform variables
+    factor = 1.0e-10
+    compressor = 0.3
+    original_min = -80
+  []
+  [rom_wall]
+    type = TabulatedDislocationDensity
+    model_file_name = 'models/random_value_6d_grid.json'
+    model_file_variable_name = 'out_wall'
+    output_rate = 'state/wall_rate'
+    # grid nodes
+    von_mises_stress = 'state/s'
+    equivalent_plastic_strain = 'state/ep'
+    cell_dd_density = 'old_state/cell_dd'
+    wall_dd_density = 'old_state/wall_dd'
+    temperature = 'forces/T'
+    env_factor = 'forces/env_fac'
+    # compress transform variables
+    factor = 1.0e-12
+    compressor = 0.3
+    original_min = -80
+  []
+  [cell_dd]
+    type = ScalarForwardEulerTimeIntegration
+    variable = 'state/cell_dd'
+    rate = 'state/cell_rate'
+  []
+  [wall_dd]
+    type = ScalarForwardEulerTimeIntegration
+    variable = 'state/wall_dd'
+    rate = 'state/wall_rate'
+  []
+
+  #####################################################################################
+  # Put the models together (this is called by Bison)
+  #####################################################################################
+  [model]
+    type = ComposedModel
+    models = 'trial_state radial_return plastic_update stress_update vonmises rom_ep rom_cell rom_wall cell_dd wall_dd'
+    priority = 'trial_state radial_return plastic_update stress_update vonmises rom_ep rom_cell rom_wall cell_dd wall_dd'
+    additional_outputs = 'state/s state/ep state/S state/Ep state/ep_rate state/cell_rate state/wall_rate state/cell_dd state/wall_dd'
+  []
+[]
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/interpolation_material.i b/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/interpolation_material.i
new file mode 100644
index 000000000000..fd2c0b27fe15
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/interpolation_material.i
@@ -0,0 +1,59 @@
+[Models]
+  [rom_ep]
+    type = TabulatedEffectiveStrain
+    model_file_name = 'models/random_value_6d_grid.json'
+    model_file_variable_name = 'out_ep'
+    output_rate = 'state/ep_rate'
+    # grid nodes
+    von_mises_stress = 'state/s'
+    temperature = 'forces/T'
+    equivalent_plastic_strain = 'state/ep'
+    cell_dd_density = 'forces/cell_dd'
+    wall_dd_density = 'forces/wall_dd'
+    env_factor = 'forces/env_fac'
+    # log10 transform variables
+    factor = 0.0
+    lowerbound = 0.0
+    upperbound = 1.0
+    logmin = -12
+    logmax = 4
+  []
+  [rom_cell]
+    type = TabulatedDislocationDensity
+    model_file_name = 'models/random_value_6d_grid.json'
+    model_file_variable_name = 'out_cell'
+    output_rate = 'state/cell_rate'
+    # grid nodes
+    von_mises_stress = 'state/s'
+    temperature = 'forces/T'
+    equivalent_plastic_strain = 'state/ep'
+    cell_dd_density = 'forces/cell_dd'
+    wall_dd_density = 'forces/wall_dd'
+    env_factor = 'forces/env_fac'
+    # compress transform variables
+    factor = 1.0e-10
+    compressor = 0.3
+    original_min = -80
+  []
+  [rom_wall]
+    type = TabulatedDislocationDensity
+    model_file_name = 'models/random_value_6d_grid.json'
+    model_file_variable_name = 'out_wall'
+    output_rate = 'state/wall_rate'
+    # grid nodes
+    von_mises_stress = 'state/s'
+    temperature = 'forces/T'
+    equivalent_plastic_strain = 'state/ep'
+    cell_dd_density = 'forces/cell_dd'
+    wall_dd_density = 'forces/wall_dd'
+    env_factor = 'forces/env_fac'
+    # compress transform variables
+    factor = 1.0e-12
+    compressor = 0.3
+    original_min = -80
+  []
+  [combined_model]
+    type = ComposedModel
+    models = 'rom_ep rom_cell rom_wall'
+  []
+[]
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/random_value_6d_grid.json b/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/random_value_6d_grid.json
new file mode 100644
index 000000000000..d40e6984e56c
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/models/random_value_6d_grid.json
@@ -0,0 +1 @@
+{"in_stress": [0.0, 30, 60, 100, 130, 160, 200, 230, 260, 320.0], "in_temperature": [600, 650, 750, 800, 850, 900, 950, 1000, 1100, 1200.0], "in_plastic_strain": [0.0, 0.0001, 0.001, 0.01], "in_cell": [1000000.0, 10000000000000.0], "in_wall": [1000000000000.0, 10000000000000.0], "in_env": [1e-09, 1e-06], "out_cell": [[[[[[1.900108656185622, 1.9001082576208304], [1.9001411824340462, 1.9001059143275563]], [[1.9001538713747825, 1.9001099579625116], [1.900122695709827, 1.9001966090952078]]], [[[1.900199862251297, 1.9001235833621994], [1.9001648243816438, 1.9001779659288165]], [[1.900179485842526, 1.9001846140574226], [1.900158040478669, 1.9001362683229668]]], [[[1.9001366672313569, 1.9001630567540135], [1.9001803568793965, 1.9001872606995174]], [[1.9001760822669143, 1.9001063246172152], [1.9001241359428624, 1.900183242947866]]], [[[1.900118554805807, 1.90014897652197], [1.9001815693478556, 1.90011586957299]], [[1.90017180987145, 1.9001551696648709], [1.9001463577749609, 1.9001678636275712]]]], [[[[1.9001813399989376, 1.9001701670673612], [1.9001758380631957, 1.9001850402403724]], [[1.9001485505147013, 1.9001359874086294], [1.9001538310046884, 1.900155312233015]]], [[[1.9001537018358574, 1.9001177671044105], [1.9001857638501907, 1.9001361317115808]], [[1.9001100720489312, 1.90015248372825], [1.9001581857244687, 1.900146777380788]]], [[[1.9001796286686374, 1.9001846640743547], [1.9001173999605698, 1.9001277562131353]], [[1.9001419987072357, 1.9001795854852601], [1.9001147777482956, 1.900119287470128]]], [[[1.9001727084774962, 1.9001731442066416], [1.9001982450208446, 1.9001277541692476]], [[1.9001212509955254, 1.9001529464671099], [1.9001530344230833, 1.9001347138548133]]]], [[[[1.900183204085716, 1.900197530729415], [1.9001889581123768, 1.9001637120849195]], [[1.9001307469902229, 1.900180157628517], [1.9001211178161332, 1.9001388861350914]]], [[[1.9001146233889186, 1.9001278762012117], [1.9001074454511748, 1.900137478875605]], [[1.9001833782001487, 1.900195943013505], [1.9001362697261686, 1.9001063842977177]]], [[[1.9001390006127408, 1.9001651714454237], [1.9001510152793992, 1.9001803231634475]], [[1.9001823847219526, 1.9001225993801736], [1.9001939969488153, 1.9001399370303886]]], [[[1.9001935101650436, 1.9001562374061896], [1.90018335394647, 1.90019992275876]], [[1.9001214363599583, 1.9001923817670368], [1.9001327810985287, 1.9001313928236239]]]], [[[[1.9001265487580776, 1.9001386117581789], [1.9001002587739992, 1.900138493323126]], [[1.900111716644538, 1.9001209656232516], [1.9001838694414384, 1.9001231529470068]]], [[[1.9001256572499885, 1.9001639537167268], [1.900101563433405, 1.9001270415979044]], [[1.9001808141486605, 1.9001252353505684], [1.900184734584811, 1.900159186653393]]], [[[1.9001582133616408, 1.9001381446086039], [1.900124990232884, 1.9001257837066232]], [[1.9001313127031805, 1.9001560841031129], [1.9001475163341264, 1.900125312528077]]], [[[1.9001589987783822, 1.9001761145812874], [1.9001274388736473, 1.9001540631254863]], [[1.9001821717523175, 1.900104812893351], [1.9001356870767139, 1.9001318757776688]]]], [[[[1.9001096991194455, 1.900196957920983], [1.9001068007332884, 1.9001001717881207]], [[1.9001056349337537, 1.9001174116796467], [1.9001068241825985, 1.9001196938403964]]], [[[1.9001763796574012, 1.900115575177515], [1.900119956010504, 1.900140151185675]], [[1.9001637516181251, 1.9001079174241453], [1.9001116612749207, 1.9001365894517344]]], [[[1.900124670399484, 1.9001848737696874], [1.9001606391560582, 1.9001064355888249]], [[1.9001178139105184, 1.9001053657804226], [1.9001570287137732, 1.9001153440645704]]], [[[1.9001115578370482, 1.900182740886662], [1.900159923862401, 1.9001313270378006]], [[1.900196648627478, 1.9001639592381645], [1.900198707983118, 1.9001473091000816]]]], [[[[1.9001502472888876, 1.9001908861435088], [1.9001991402458782, 1.900141495119244]], [[1.900174570395338, 1.9001587829763895], [1.9001168452899833, 1.9001314434502192]]], [[[1.9001159946369865, 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[[[0.35130903366666555, 0.35137082947017434], [0.35143499862067645, 0.3515812005330117]], [[0.35107338744653527, 0.35128091194218763], [0.35171540317050576, 0.35150712736158074]]]], [[[[0.3512615834822218, 0.35193105857442036], [0.3512974613404566, 0.3513694057902893]], [[0.35190133909018345, 0.35164748002302887], [0.35152070441517896, 0.35102228765533633]]], [[[0.35144422302312334, 0.3510598863047722], [0.3511050585031519, 0.35191517487848684]], [[0.35114680857500297, 0.3519768875741979], [0.35143126899218013, 0.3515086104397646]]], [[[0.3511353478463397, 0.35197603609747563], [0.3513024525928873, 0.3517475731431259]], [[0.3514727398952788, 0.35136275127951894], [0.35134400968244367, 0.3517433819303068]]], [[[0.3510431877699109, 0.3515159490815803], [0.3516485506888563, 0.35175139213501927]], [[0.35107237721061924, 0.3516146149097819], [0.35123295874823524, 0.3511792461668011]]]], [[[[0.3518985097856178, 0.3512957701456459], [0.35123506431444507, 0.3512621882237652]], [[0.3511882259623987, 0.35194959780557833], [0.351792478789601, 0.35167141330798046]]], [[[0.35119926281929065, 0.35135014656816305], [0.3515096955389711, 0.35170366966599204]], [[0.35141460484614767, 0.3510383181068967], [0.35136748824352904, 0.35160183012975227]]], [[[0.35161760171633155, 0.351293536014098], [0.35128708284986077, 0.35132175236052743]], [[0.3516919836915946, 0.3511039326271859], [0.3512118536234499, 0.35190469583553163]]], [[[0.35122793569341576, 0.3514659011990602], [0.3511259664242299, 0.35108641512640365]], [[0.3513461603350593, 0.35182331088751884], [0.35174179352503515, 0.351623407179798]]]], [[[[0.3513120299676365, 0.3519777542886341], [0.35175549266767653, 0.3510601345007638]], [[0.3514090557194725, 0.35127673948485183], [0.35193032737169455, 0.35143702952900185]]], [[[0.35181668874424227, 0.3518889358708037], [0.3515260555817876, 0.3519571354763822]], [[0.35108294499456966, 0.3515363724362315], [0.35189727781901187, 0.35161808374792103]]], [[[0.35166590572001555, 0.35155412351833015], [0.35194723803801375, 0.3517056529127155]], [[0.351292129844645, 0.35185231773674064], [0.3512274081959333, 0.35130830607391633]]], [[[0.35177062843923196, 0.3514450760181934], [0.3516549561978411, 0.35153691014044575]], [[0.3512224340906467, 0.35135635598571485], [0.3515768828778246, 0.35196560753400524]]]], [[[[0.3510381540335218, 0.3510936572960569], [0.3510940307526225, 0.3515604148369919]], [[0.3513619515248361, 0.35103107216765206], [0.35139327113890356, 0.35162077101022354]]], [[[0.35114512454920804, 0.3514572953171764], [0.35170628340079857, 0.35145313996341276]], [[0.35158871803728453, 0.3516683627201489], [0.3513940843901187, 0.3513260824413753]]], [[[0.3514349605458033, 0.3514811494419546], [0.3510248973427618, 0.35104120208198697]], [[0.3510733400111841, 0.3512635481015545], [0.35127853732853825, 0.35113957385556105]]], [[[0.351283346835267, 0.3519319027016872], [0.3519450220095093, 0.3512833100565364]], [[0.3514820270917563, 0.3512783083421564], [0.3511719785571224, 0.3517923434893688]]]], [[[[0.3510557750462153, 0.351879117142897], [0.3514898972429257, 0.3519379145575432]], [[0.351584657941203, 0.35177806961942326], [0.3510753812343166, 0.3518340098608848]]], [[[0.3513283063490916, 0.3515566985053358], [0.3517893090654189, 0.35133294391690034]], [[0.35158863047444894, 0.3511601985932288], [0.3517131630185349, 0.3514373798633025]]], [[[0.3518023653576293, 0.3517274558941166], [0.3510663239794009, 0.3516924404604976]], [[0.35194934351915685, 0.35105716046149993], [0.35106919434771666, 0.3517321157689473]]], [[[0.3511548023686743, 0.35155976836269076], [0.3518699693831023, 0.3514093601996999]], [[0.35145738394052906, 0.3517863476734577], [0.35116290744895323, 0.3518747972340056]]]]], [[[[[0.3517122258878979, 0.35160664217799065], [0.3519699261251207, 0.35119701927501135]], [[0.35187334895778444, 0.351432964865793], [0.3510792930460073, 0.3513572637780651]]], [[[0.35179734115349903, 0.35129879386441415], [0.35155949649297935, 0.3511139468555519]], [[0.35180832345374646, 0.35116063733854236], [0.35155337164098993, 0.3512958323610386]]], [[[0.35191167021986597, 0.35168799212260793], [0.35124887024096724, 0.35127747721828084]], [[0.3514726746032852, 0.35122197342888234], [0.35188220526647995, 0.3517458541515779]]], [[[0.3514987993939133, 0.3516475673068448], [0.3517580858988943, 0.3516042852356627]], [[0.35108608795380264, 0.35171133952617406], [0.35146529942316884, 0.35178651385622334]]]], [[[[0.35140419010386925, 0.35156406205748403], [0.3516245311117387, 0.3517025034050572]], [[0.3514313291448638, 0.35195682078250357], [0.3519299177642322, 0.35166315668362724]]], [[[0.3516254287792027, 0.35160731091043923], [0.3511962934596035, 0.351427303398464]], [[0.35156312040779053, 0.3510319674554251], [0.35179667698756295, 0.35176423345788027]]], [[[0.3510810961099964, 0.35142550528255573], [0.35105752171921584, 0.35165016778480024]], [[0.3514862341544926, 0.35145877931330194], [0.35166402884094394, 0.3515217096770025]]], [[[0.351451269158609, 0.3510571337160619], [0.35190095007659095, 0.35144572640068644]], [[0.3515289140085622, 0.3512690082041963], [0.35107913659192297, 0.35109278553180384]]]], [[[[0.35172087935876045, 0.35152999511883565], [0.35194114523220627, 0.3510492088600112]], [[0.3513129499479166, 0.35111895982293895], [0.351705090510745, 0.35181234204812833]]], [[[0.35144457869166046, 0.35115896669727775], [0.3517947246090272, 0.35148052997732826]], [[0.3514458853081093, 0.35141518392342597], [0.35128093294937857, 0.35122882909877434]]], [[[0.351685611407583, 0.35191842715022775], [0.3513601290227302, 0.3519598312920866]], [[0.3519762265998573, 0.35151922487333764], [0.3511995488268475, 0.3518960049205781]]], [[[0.35142736846222206, 0.35116743506670434], [0.35145984576199363, 0.3515459012063861]], [[0.35134099874778263, 0.35150570544908244], [0.35107161324936714, 0.35151993812271276]]]], [[[[0.3514127124314688, 0.3517162319419322], [0.35138285834550004, 0.3517950179334517]], [[0.35158613736582534, 0.3510878062482664], [0.35143504362139993, 0.3518125160929255]]], [[[0.35160940731044366, 0.3510701853021806], [0.3510032356570061, 0.3514321538924095]], [[0.35100624738879044, 0.35150738344413374], [0.35138373211302365, 0.3512039343978355]]], [[[0.35166163326217353, 0.3513438433718832], [0.35165387123372227, 0.3512326941713971]], [[0.3512949964544232, 0.3512701357043818], [0.3519519568430496, 0.35151220081668116]]], [[[0.3518438393933653, 0.35193857954227675], [0.3516950993924391, 0.351133161244148]], [[0.3512964783401645, 0.35185632922490184], [0.35121028430088874, 0.35107237887968795]]]], [[[[0.35182653356427557, 0.35181657184503257], [0.3513051689349243, 0.3512973015884982]], [[0.3518110388529736, 0.35123888743767223], [0.3515449034157948, 0.3517162315936669]]], [[[0.35181184336251486, 0.3518514003110759], [0.35109659476409855, 0.35143019865743697]], [[0.3512067848208354, 0.35198020975777533], [0.3515921647429344, 0.3515097143487992]]], [[[0.351961698479577, 0.3515151163002628], [0.3519890111481521, 0.35125108513274095]], [[0.3516727023448606, 0.351731937103158], [0.35135853491012925, 0.3516855387030936]]], [[[0.35114063876680357, 0.35171395006114564], [0.3518083791338402, 0.35105779579205704]], [[0.35105383654400335, 0.3513243926954206], [0.3514982226531783, 0.3514242937841596]]]], [[[[0.3519021224785712, 0.35132424624816827], [0.35123185054482603, 0.35158868792540204]], [[0.351819179733667, 0.35151879693022886], [0.3516772228415581, 0.3511525851625993]]], [[[0.3516653702212873, 0.351689959767364], [0.3511091984367746, 0.3518538978964486]], [[0.35151759179002223, 0.3519301558023443], [0.35114096382822907, 0.3512721987705752]]], [[[0.3513634421347106, 0.35141203521700914], [0.35177935562798734, 0.3510682427660103]], [[0.3510537324898025, 0.35138969397717035], [0.35154522334973837, 0.35184354666189527]]], [[[0.3511547973176, 0.351738077863184], [0.35169237939498044, 0.3515022162583177]], [[0.3512496543502932, 0.35137559543159047], [0.351847963523561, 0.35100563655388817]]]], [[[[0.3518710717668985, 0.3515759141611641], [0.35136330236438856, 0.351221843567667]], [[0.35158286516934595, 0.35110386443414665], [0.3511023788736703, 0.35144946993221565]]], [[[0.3515688712164062, 0.35171303140858046], [0.3516820205099398, 0.351122661037274]], [[0.3515335486250972, 0.35191644817765905], [0.35170285627913195, 0.3517365289078791]]], [[[0.3510820138558806, 0.3518776392093229], [0.35103419931425656, 0.3518864655980165]], [[0.3511821009238301, 0.35119339609372907], [0.3515380805472528, 0.35158699523964865]]], [[[0.35122139077819725, 0.3512258546556685], [0.35115922901832375, 0.3516227970612784]], [[0.3518312878363259, 0.35101000075765665], [0.3512114224914928, 0.35164759981187277]]]], [[[[0.3511830903208398, 0.3514698281951785], [0.3512211582979446, 0.3516250813314917]], [[0.3511883181248638, 0.351671910613958], [0.35124433839743224, 0.3514329777005698]]], [[[0.3515872420384729, 0.35128672750295853], [0.35173580365721074, 0.3514800718492118]], [[0.35163801373224174, 0.3511360060614539], [0.35152191005377503, 0.35121462670339587]]], [[[0.3510629931094548, 0.3514829589243051], [0.3514772083476741, 0.3519491114652154]], [[0.35151007529822176, 0.3516370321588926], [0.3513657372448597, 0.35190041472010114]]], [[[0.35127047641305026, 0.3514970165446442], [0.3518910874914543, 0.35181494996424345]], [[0.35160327448618495, 0.3518735283640644], [0.351702875622585, 0.3515302251990811]]]], [[[[0.3512400521715078, 0.35118482808260026], [0.3516850618375211, 0.3515208435093485]], [[0.3518041080208683, 0.35110333568223084], [0.3513193934905071, 0.3510454614841926]]], [[[0.3512662262112185, 0.3518123658210285], [0.35122983034389454, 0.3511335551125134]], [[0.35157312770304894, 0.35124077028528455], [0.35144213664504287, 0.35137086163365283]]], [[[0.35132551162272535, 0.3518930033288488], [0.3511585770654718, 0.3519907431795486]], [[0.3516652931731241, 0.35145060742747686], [0.35127798072388244, 0.3515192128207993]]], [[[0.35119347413645835, 0.3515834167261037], [0.35140990012565837, 0.35198811759304327]], [[0.35142269483978494, 0.35114301694646644], [0.3517240790025322, 0.35141199805309664]]]], [[[[0.35142521005893435, 0.3510617623460078], [0.35157801762572743, 0.3519367145858584]], [[0.3511958239793041, 0.351032639456872], [0.3512462433611542, 0.3513543083654055]]], [[[0.35166576107233455, 0.3517866719702746], [0.3515848591867015, 0.35157545742566065]], [[0.3511181922973301, 0.351235042310303], [0.3517473799852462, 0.3513456890277411]]], [[[0.35140963747042125, 0.3516423555264216], [0.3517748312887763, 0.3510831689306445]], [[0.3516614817318722, 0.35125558075089675], [0.3515957055828899, 0.35177531304197523]]], [[[0.35149790624889593, 0.3510141362246291], [0.35119521888048133, 0.3516799813667842]], [[0.35165421604358704, 0.3517510906297898], [0.3516094747796328, 0.35154442554982784]]]]]]}
\ No newline at end of file
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/moose_neml2_return_mapping.i b/modules/solid_mechanics/test/tests/neml2/interpolated_material/moose_neml2_return_mapping.i
new file mode 100644
index 000000000000..b2f0e44700da
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/moose_neml2_return_mapping.i
@@ -0,0 +1,256 @@
+# NEML2 file in MPA
+[Mesh]
+  [gmg]
+    type = GeneratedMeshGenerator
+    dim = 3
+    nx = 5
+    ny = 5
+    nz = 5
+  []
+[]
+
+[GlobalParams]
+  displacements = 'disp_x disp_y disp_z'
+[]
+
+[Physics]
+  [SolidMechanics]
+    [QuasiStatic]
+      [all]
+        strain = SMALL
+        new_system = true
+        add_variables = true
+        formulation = TOTAL
+        volumetric_locking_correction = true
+      []
+    []
+  []
+[]
+
+[BCs]
+  [xfix]
+    type = DirichletBC
+    variable = disp_x
+    boundary = left
+    value = 0
+  []
+  [yfix]
+    type = DirichletBC
+    variable = disp_y
+    boundary = bottom
+    value = 0
+  []
+  [zfix]
+    type = DirichletBC
+    variable = disp_z
+    boundary = back
+    value = 0
+  []
+  [pressure_x]
+    type = Pressure
+    variable = disp_x
+    boundary = right
+    function = pressure_fcn
+  []
+[]
+
+# -- interpolation grids in  'models/random_value_grid.json'
+# "in_stress": [0.0, 30, 60, 100, 130, 160, 200, 230, 260, 320.0],
+# "in_temperature": [600, 650, 750, 800, 850, 900, 950, 1000, 1100, 1200.0],
+# "in_plastic_strain": [0.0, 0.0001, 0.001, 0.01],
+# "in_cell": [1000000.0, 10000000000000.0],
+# "in_wall": [1000000000000.0, 10000000000000.0],
+# "in_env": [1e-09, 1e-06],
+
+[Functions]
+  [pressure_fcn]
+    type = ParsedFunction
+    expression = 200 #MPa
+  []
+[]
+[AuxVariables]
+  [T]
+    initial_condition = 750 #K
+  []
+[]
+[Materials]
+  [init_dd]
+    type = GenericConstantMaterial
+    prop_names = 'init_cell_dd init_wall_dd init_envFac'
+    prop_values = '1e11 8e12 2e-8'
+  []
+[]
+
+[NEML2]
+  # this is a NEML2 model definition, located under bison/data
+  input = 'models/interp_matl_radial_return.i'
+  model = 'model'
+  verbose = true
+  mode = PARSE_ONLY
+  device = 'cpu'
+  enable_AD = true
+[]
+
+[UserObjects]
+  [temperature]
+    type = MOOSEVariableToNEML2
+    moose_variable = T
+    neml2_variable = forces/T
+  []
+  [envFac]
+    type = MOOSERealMaterialPropertyToNEML2
+    moose_material_property = init_envFac
+    neml2_variable = forces/env_fac
+  []
+
+  [strain]
+    type = MOOSERankTwoTensorMaterialPropertyToNEML2
+    moose_material_property = mechanical_strain
+    neml2_variable = forces/E
+  []
+  [input_old_Ep]
+    type = MOOSEOldSymmetricRankTwoTensorMaterialPropertyToNEML2
+    moose_material_property = plastic_strain
+    neml2_variable = old_state/Ep
+  []
+  [input_old_ep]
+    type = MOOSEOldRealMaterialPropertyToNEML2
+    moose_material_property = effective_plastic_strain
+    neml2_variable = old_state/ep
+  []
+
+  [old_cell_dd]
+    type = MOOSEOldRealMaterialPropertyToNEML2
+    moose_material_property = cell_dd
+    neml2_variable = old_state/cell_dd
+  []
+  [old_wall_dd]
+    type = MOOSEOldRealMaterialPropertyToNEML2
+    moose_material_property = wall_dd
+    neml2_variable = old_state/wall_dd
+  []
+
+  [model]
+    type = ExecuteNEML2Model
+    model = model
+    gather_uos = 'temperature strain input_old_Ep input_old_ep envFac old_cell_dd old_wall_dd'
+    enable_AD = true
+  []
+[]
+
+[Materials]
+  [neml2_stress_jacobian]
+    type = NEML2StressToMOOSE
+    execute_neml2_model_uo = model
+    neml2_stress_output = state/S
+    neml2_strain_input = forces/E
+  []
+  [neml2_flow_rate]
+    type = NEML2ToSymmetricRankTwoTensorMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/Ep
+    moose_material_property = accumulated_inelastic_strain
+  []
+  [stateful_Ep]
+    type = NEML2ToSymmetricRankTwoTensorMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/Ep
+    moose_material_property = plastic_strain
+  []
+  [stateful_ep]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/ep
+    moose_material_property = effective_plastic_strain
+  []
+  [stateful_ep_rate]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/ep_rate
+    moose_material_property = effective_plastic_strain_rate
+  []
+  [stateful_vm_stress]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/s
+    moose_material_property = vonmises_stress
+  []
+  [cell_rate]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/cell_rate
+    moose_material_property = cell_rate
+  []
+  [wall_rate]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/wall_rate
+    moose_material_property = wall_rate
+  []
+  [cell_dd]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/cell_dd
+    moose_material_property = cell_dd
+    moose_material_property_init = init_cell_dd
+  []
+  [wall_dd]
+    type = NEML2ToRealMOOSEMaterialProperty
+    execute_neml2_model_uo = model
+    neml2_variable = state/wall_dd
+    moose_material_property = wall_dd
+    moose_material_property_init = init_wall_dd
+  []
+[]
+
+[Executioner]
+  type = Transient
+  solve_type = NEWTON
+  petsc_options_iname = '-pc_type'
+  petsc_options_value = 'lu'
+  automatic_scaling = true
+  dt = 5
+  dtmin = 5
+  num_steps = 100
+  residual_and_jacobian_together = true
+[]
+
+[Postprocessors]
+  [effective_plastic_strain]
+    type = ElementAverageMaterialProperty
+    mat_prop = effective_plastic_strain
+  []
+  [creep_rate]
+    type = ElementAverageMaterialProperty
+    mat_prop = effective_plastic_strain_rate
+  []
+  [rhom_rate]
+    type = ElementAverageMaterialProperty
+    mat_prop = cell_rate
+  []
+  [rhoi_rate]
+    type = ElementAverageMaterialProperty
+    mat_prop = wall_rate
+  []
+  [rhom_dd]
+    type = ElementAverageMaterialProperty
+    mat_prop = cell_dd
+  []
+  [rhoi_dd]
+    type = ElementAverageMaterialProperty
+    mat_prop = wall_dd
+  []
+  [vm_stress]
+    type = ElementAverageMaterialProperty
+    mat_prop = vonmises_stress
+  []
+  [run_time]
+    type = PerfGraphData
+    section_name = "Root"
+    data_type = total
+  []
+[]
+
+[Outputs]
+  csv = true
+[]
diff --git a/modules/solid_mechanics/test/tests/neml2/interpolated_material/tests b/modules/solid_mechanics/test/tests/neml2/interpolated_material/tests
new file mode 100644
index 000000000000..908bb72f3b27
--- /dev/null
+++ b/modules/solid_mechanics/test/tests/neml2/interpolated_material/tests
@@ -0,0 +1,17 @@
+[Tests]
+  design = '?'
+  issues = '?'
+  requirement = "The system shall use an interpolation grid in NEML2"
+  [radialReturn]
+    type = 'CSVDiff'
+    input = 'moose_neml2_return_mapping.i'
+    csvdiff = 'moose_neml2_return_mapping_out.csv'
+    detail = "to solve for the creep and dislocation density rates in a radial return mapping."
+  []
+  [interpolate]
+    type = 'CSVDiff'
+    input = 'moose_neml2_return_mapping.i'
+    csvdiff = 'interpolate_neml2_out.csv'
+    detail = "to interpolate for creep dislocation density rates in a radial return mapping."
+  []
+[]