Linear elastic FFT solver

examples/spectralLinearElastic2Materials.i

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+[Mesh]
+  type = MyTRIMMesh
+  dim = 3
+  xmin = -5
+  xmax = 5
+  ymin = -5
+  ymax = 5
+  zmin = -5
+  zmax = 5
+  nx = 32
+  ny = 32
+  nz = 32
+[]
+
+[Problem]
+  type = FFTProblem
+[]
+
+[AuxVariables]
+  [./epsilon_aux_var]
+    order = CONSTANT
+    family = MONOMIAL
+  [../]
+
+  [./stress_aux_var]
+    order = CONSTANT
+    family = MONOMIAL
+  [../]
+
+  [./elastic_aux_var]
+    order = CONSTANT
+    family = MONOMIAL
+
+  [../]
+
+  [./index_buffer_aux_var]
+    order = CONSTANT
+    family = MONOMIAL
+  [../]
+
+  [./stiffness_ratio_aux]
+    order = CONSTANT
+    family = MONOMIAL
+    [./InitialCondition]
+      type = SmoothSuperellipsoidIC
+      x1 = 0
+      y1 = 0
+      z1 = 0
+      a = 2
+      b = 2
+      c = 2
+      n = 2
+      int_width = 0
+      invalue = 1
+      outvalue = 4
+    [../]
+  [../]
+[]
+
+[UserObjects]
+  # Buffers
+  [./epsilon]
+    type = RankTwoTensorFFTWBuffer
+  [../]
+  [./stress]
+    type = RankTwoTensorFFTWBuffer
+  [../]
+  # Reciprocal space: Elastic tensor
+  [./gamma]
+    type = RankFourTensorFFTWBuffer
+  [../]
+  [./elastic]
+    type = RankFourTensorFFTWBuffer
+  [../]
+  [./stiffness_ratio]
+     type = RealFFTWBuffer
+     moose_variable = stiffness_ratio_aux
+  []
+  [./index_buffer]
+     type = RealFFTWBuffer
+  []
+[]
+
+[AuxKernels]
+  [./epsilon_aux]
+    type = FFTBufferAux
+    variable = epsilon_aux_var
+    fft_buffer = epsilon
+    execute_on = final
+    component = '0 1'
+  [../]
+
+  [./stress_aux]
+    type = FFTBufferAux
+    variable = stress_aux_var
+    fft_buffer = stress
+    execute_on = final
+    component = '0 1'
+  [../]
+
+  [./elastic_aux]
+    type = FFTBufferAux
+    variable = elastic_aux_var
+    fft_buffer = elastic
+    execute_on = final
+    component = '0 1 0 1'
+  [../]
+
+  [./stiffness_aux]
+    type = FFTBufferAux
+    variable = stiffness_ratio_aux
+    fft_buffer = stiffness_ratio
+    execute_on = final
+  [../]
+
+  [./index_aux]
+    type = FFTBufferAux
+    variable = index_buffer_aux_var
+    fft_buffer = index_buffer
+    execute_on = final
+  [../]
+[]
+
+[Executioner]
+  type = SpectralExecutionerLinearElastic
+
+  time_step = 1.0
+  number_iterations = 300
+  solver_error = 1.0e-6
+  global_strain_tensor = '0.0 0.0 0.0 0.0 0.0 0.01'
+  young_modulus = 1e4
+  poisson_ratio = 0.3
+  average_material_factor = 2
+[]
+
+[VectorPostprocessors]
+  [./linevaluex]
+    type = LineValueSampler
+    variable = 'epsilon_aux_var stress_aux_var'
+    start_point = '-4.9999999999 0 0'
+    end_point = '4.9999999999 0 0'
+    num_points = 101
+    sort_by = x
+    execute_on = final
+  [../]
+  [./linevaluey]
+    type = LineValueSampler
+    variable = 'epsilon_aux_var stress_aux_var'
+    start_point = '0 -4.9999999999 0'
+    end_point = '0 4.9999999999 0'
+    num_points = 101
+    sort_by = y
+    execute_on = final
+  [../]
+  [./linevaluez]
+    type = LineValueSampler
+    variable = 'epsilon_aux_var stress_aux_var'
+    start_point = '0 0 -4.9999999999'
+    end_point = '0 0 4.9999999999'
+    num_points = 101
+    sort_by = z
+    execute_on = final
+  [../]
+[]
+
+[Outputs]
+  exodus = true
+  execute_on = 'INITIAL FINAL'
+  perf_graph = true
+  [./comp]
+    type = CSV
+  [../]
+[]