Index

A

A (sigmaepsilon.solid.model.bernoulli.section.BeamSection property) activity (sigmaepsilon.solid.fem.cells.celldata.CellData property) angle (sigmaepsilon.solid.model.metashell.MetaSurface property)

approxfunc() (sigmaepsilon.solid.model.membrane.MembraneLayer method) approximation_matrix() (in module sigmaepsilon.solid.fem.utils) assemble_load_vector() (in module sigmaepsilon.solid.fem.preproc) assert_min_diagonals_bulk() (in module sigmaepsilon.solid.fem.preproc)

B

BeamSection (class in sigmaepsilon.solid.model.bernoulli.section) Bernoulli2 (class in sigmaepsilon.solid.fem.cells.bernoulli2) Bernoulli3 (class in sigmaepsilon.solid.fem.cells.bernoulli3) BernoulliBase (class in sigmaepsilon.solid.fem.cells.bernoulli)

BernoulliFrame (class in sigmaepsilon.solid.fem.linemesh) blocks() (sigmaepsilon.solid.fourier.loads.LoadGroup method) body_load_vector() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) box_fem_data_bulk() (in module sigmaepsilon.solid.fem.preproc) box_fem_data_sparse() (in module sigmaepsilon.solid.fem.preproc)

C

calculate_section_properties() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method) calculate_stresses() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method) cases() (sigmaepsilon.solid.fourier.loads.LoadGroup method) cd (sigmaepsilon.solid.fem.mesh.FemMesh property) cell_dof_solution() (sigmaepsilon.solid.fem.mesh.FemMesh method) cell_load_vector() (sigmaepsilon.solid.fem.mesh.FemMesh method) cellblocks() (sigmaepsilon.solid.fem.mesh.FemMesh method) CellData (class in sigmaepsilon.solid.fem.cells.celldata) cells_coords() (sigmaepsilon.solid.fem.mesh.FemMesh method)

compatibility_factors() (in module sigmaepsilon.solid.fem.utils) compatibility_factors_to_coo() (in module sigmaepsilon.solid.fem.utils) compile_shear_factors() (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShellLayer method) condensate() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) condensate_cell_fixity() (sigmaepsilon.solid.fem.mesh.FemMesh method) condensate_Kf_bulk() (in module sigmaepsilon.solid.fem.preproc) condensate_M_bulk() (in module sigmaepsilon.solid.fem.preproc) consistent_mass_matrix() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) (sigmaepsilon.solid.fem.mesh.FemMesh method) coords() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method)

D

density (sigmaepsilon.solid.fem.cells.celldata.CellData property) direction_cosine_matrix() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) dof_solution() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method)

dofsol (sigmaepsilon.solid.fem.pointdata.PointData property) dshpfnc() (sigmaepsilon.solid.fem.cells.bernoulli2.Bernoulli2 method) (sigmaepsilon.solid.fem.cells.bernoulli3.Bernoulli3 method) dump() (sigmaepsilon.solid.fourier.loads.LoadGroup method)

E

effective_modal_mass() (in module sigmaepsilon.solid.fem.dyn) effective_modal_masses() (in module sigmaepsilon.solid.fem.dyn) elastic_stiffness_matrix() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) (sigmaepsilon.solid.fem.mesh.FemMesh method) element_dof_numbering() (sigmaepsilon.solid.fem.mesh.FemMesh method) element_fixity() (sigmaepsilon.solid.fem.mesh.FemMesh method) essential_penalty_factor_matrix() (in module sigmaepsilon.solid.fem.preproc) essential_penalty_matrix() (in module sigmaepsilon.solid.fem.preproc) (sigmaepsilon.solid.fem.mesh.FemMesh method)

estimate_smallest_natural_circular_frequency() (in module sigmaepsilon.solid.fem.dyn) estimate_stiffness_penalty() (in module sigmaepsilon.solid.fem.preproc) expand_coeff_matrix_bulk() (in module sigmaepsilon.solid.fem.utils) expand_load_vector_bulk() (in module sigmaepsilon.solid.fem.utils) external_forces() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) (sigmaepsilon.solid.fem.mesh.FemMesh method) extrude() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method)

F

fem_coeff_matrix_coo() (in module sigmaepsilon.solid.fem.preproc) FemMesh (class in sigmaepsilon.solid.fem.mesh) FiniteElement (class in sigmaepsilon.solid.fem.cells.elem) fixity (sigmaepsilon.solid.fem.cells.celldata.CellData property) (sigmaepsilon.solid.fem.pointdata.PointData property)

fixity2d_to_dofs1d() (in module sigmaepsilon.solid.fem.utils) from_dict() (sigmaepsilon.solid.fourier.loads.LoadGroup static method) from_json() (sigmaepsilon.solid.fourier.loads.LoadGroup class method)

G

generate_mesh() (in module sigmaepsilon.solid.model.bernoulli.section) geometric_properties (sigmaepsilon.solid.model.bernoulli.section.BeamSection property) Geometry (sigmaepsilon.solid.fem.cells.bernoulli2.Bernoulli2 attribute) (sigmaepsilon.solid.fem.cells.bernoulli3.Bernoulli3 attribute) (sigmaepsilon.solid.fem.cells.h27.H27 attribute) (sigmaepsilon.solid.fem.cells.h8.H8 attribute) (sigmaepsilon.solid.fem.cells.tet10.TET10 attribute) (sigmaepsilon.solid.fem.cells.tet4.TET4 attribute)

get_coords() (sigmaepsilon.solid.fourier.loads.RectangleLoad static method) get_iso_params() (in module sigmaepsilon.solid.material.hooke.utils) get_ortho_params() (in module sigmaepsilon.solid.material.hooke.utils) get_section() (in module sigmaepsilon.solid.model.bernoulli.section) get_section_properties() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method) get_triso_params() (in module sigmaepsilon.solid.material.hooke.utils) global_dof_numbering() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) group_mat_params() (in module sigmaepsilon.solid.material.hooke.utils)

H

H27 (class in sigmaepsilon.solid.fem.cells.h27) H8 (class in sigmaepsilon.solid.fem.cells.h8) has_all_params_ortho() (in module sigmaepsilon.solid.material.hooke.utils) has_std_params_ortho() (in module sigmaepsilon.solid.material.hooke.utils)

hooke (sigmaepsilon.solid.model.metashell.MetaSurface property) Hooke() (sigmaepsilon.solid.model.membrane.Membrane class method) (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShell class method) HookeError

I

integrate_body_loads() (sigmaepsilon.solid.fem.cells.bernoulli.BernoulliBase method) (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) internal_forces() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) (sigmaepsilon.solid.fem.mesh.FemMesh method) irows_icols_bulk() (in module sigmaepsilon.solid.fem.utils)

irows_icols_bulk_filtered() (in module sigmaepsilon.solid.fem.utils) iterlayers() (sigmaepsilon.solid.model.metashell.Surface method) Ix (sigmaepsilon.solid.model.bernoulli.section.BeamSection property) Iy (sigmaepsilon.solid.model.bernoulli.section.BeamSection property) Iz (sigmaepsilon.solid.model.bernoulli.section.BeamSection property)

K

kinetic_strains() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method)

L

Layer (class in sigmaepsilon.solid.model.metashell) Layer() (sigmaepsilon.solid.model.metashell.Surface method) layers() (sigmaepsilon.solid.model.metashell.Surface method) lhs_Navier_Bernoulli() (in module sigmaepsilon.solid.fourier.preproc) lhs_Navier_Kirchhoff() (in module sigmaepsilon.solid.fourier.preproc) lhs_Navier_Mindlin() (in module sigmaepsilon.solid.fourier.preproc) lhs_Navier_Timoshenko() (in module sigmaepsilon.solid.fourier.preproc) LineLoad (class in sigmaepsilon.solid.fourier.loads) LineMesh (class in sigmaepsilon.solid.fem.linemesh)

linsolve_Bernoulli() (in module sigmaepsilon.solid.fourier.proc) linsolve_Timoshenko() (in module sigmaepsilon.solid.fourier.proc) load_vector() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) LoadGroup (class in sigmaepsilon.solid.fourier.loads) loads (sigmaepsilon.solid.fem.cells.celldata.CellData property) (sigmaepsilon.solid.fem.pointdata.PointData property) loc_to_shear_factors() (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShellLayer method) loc_to_z() (sigmaepsilon.solid.model.metashell.Layer method) lumped_mass_matrix() (sigmaepsilon.solid.fem.cells.bernoulli.BernoulliBase method)

M

mass (sigmaepsilon.solid.fem.pointdata.PointData property) mass() (sigmaepsilon.solid.fem.mesh.FemMesh method) mass_matrix() (sigmaepsilon.solid.fem.mesh.FemMesh method) masses() (sigmaepsilon.solid.fem.mesh.FemMesh method) material_stiffness_matrices() (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShellLayer method) material_stiffness_matrices_126() (in module sigmaepsilon.solid.model.utils) material_stiffness_matrices_45() (in module sigmaepsilon.solid.model.utils) material_stiffness_matrix() (sigmaepsilon.solid.fem.mesh.FemMesh method) (sigmaepsilon.solid.model.membrane.MembraneLayer method) maximize_stiffness() (in module sigmaepsilon.topopt.oc.oc) Membrane (class in sigmaepsilon.solid.model.membrane) MembraneLayer (class in sigmaepsilon.solid.model.membrane) MetaSurface (class in sigmaepsilon.solid.model.metashell) min_stiffness_diagonal() (in module sigmaepsilon.solid.fem.utils) MindlinPlate (class in sigmaepsilon.solid.model.mindlin.mindlin) MindlinPlateLayer (class in sigmaepsilon.solid.model.mindlin.mindlin) MindlinShell (class in sigmaepsilon.solid.model.mindlin.mindlin) MindlinShellLayer (class in sigmaepsilon.solid.model.mindlin.mindlin) missing_params_ortho() (in module sigmaepsilon.solid.material.hooke.utils) missing_std_params_ortho() (in module sigmaepsilon.solid.material.hooke.utils) Model (sigmaepsilon.solid.fem.cells.bernoulli2.Bernoulli2 attribute) (sigmaepsilon.solid.fem.cells.bernoulli3.Bernoulli3 attribute) (sigmaepsilon.solid.fem.cells.h27.H27 attribute) (sigmaepsilon.solid.fem.cells.h8.H8 attribute) (sigmaepsilon.solid.fem.cells.tet10.TET10 attribute) (sigmaepsilon.solid.fem.cells.tet4.TET4 attribute)

model (sigmaepsilon.solid.fem.mesh.FemMesh property) model_stiffness_matrix() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method) module sigmaepsilon.solid.fem.dyn sigmaepsilon.solid.fem.linsolve sigmaepsilon.solid.fem.preproc sigmaepsilon.solid.fem.utils sigmaepsilon.solid.fourier.loads sigmaepsilon.solid.fourier.plate sigmaepsilon.solid.fourier.postproc sigmaepsilon.solid.fourier.preproc sigmaepsilon.solid.fourier.proc sigmaepsilon.solid.material.hooke.utils sigmaepsilon.solid.model.bernoulli.section sigmaepsilon.solid.model.membrane sigmaepsilon.solid.model.utils sigmaepsilon.topopt.oc.oc

N

n (namedtuple field) OptRes (namedtuple in sigmaepsilon.topopt.oc.oc) natural_circular_frequencies() (in module sigmaepsilon.solid.fem.dyn) NavierLoadError nodal_approximation_matrix() (in module sigmaepsilon.solid.fem.utils)

nodal_dof_solution() (sigmaepsilon.solid.fem.mesh.FemMesh method) nodal_load_vector() (sigmaepsilon.solid.fem.mesh.FemMesh method) nodal_mass_matrix() (in module sigmaepsilon.solid.fem.preproc) (sigmaepsilon.solid.fem.mesh.FemMesh method) nodes (sigmaepsilon.solid.fem.cells.celldata.CellData property) nodes2d_to_dofs1d() (in module sigmaepsilon.solid.fem.utils)

O

obj (namedtuple field) OptRes (namedtuple in sigmaepsilon.topopt.oc.oc) OptRes (namedtuple in sigmaepsilon.topopt.oc.oc) n (namedtuple field) obj (namedtuple field) pen (namedtuple field) vol (namedtuple field) x (namedtuple field)

P

pen (namedtuple field) OptRes (namedtuple in sigmaepsilon.topopt.oc.oc) pd (sigmaepsilon.solid.fem.mesh.FemMesh property) plot() (sigmaepsilon.solid.fem.linemesh.LineMesh method) plot_dof_solution() (sigmaepsilon.solid.fem.linemesh.LineMesh method) PointData (class in sigmaepsilon.solid.fem.pointdata)

PointLoad (class in sigmaepsilon.solid.fourier.loads) postproc() (in module sigmaepsilon.solid.fourier.postproc) postproc_Kirchhoff() (in module sigmaepsilon.solid.fourier.postproc) postproc_Mindlin() (in module sigmaepsilon.solid.fourier.postproc) postprocess() (sigmaepsilon.solid.fem.mesh.FemMesh method) problem (sigmaepsilon.solid.fourier.loads.LoadGroup property) prostproc_dof_solution() (sigmaepsilon.solid.fem.mesh.FemMesh method)

R

Rayleigh_quotient() (in module sigmaepsilon.solid.fem.dyn) reactions (sigmaepsilon.solid.fem.pointdata.PointData property) RectangleLoad (class in sigmaepsilon.solid.fourier.loads) RectangularPlate (class in sigmaepsilon.solid.fourier.plate) region() (sigmaepsilon.solid.fourier.loads.RectangleLoad method) rhs() (sigmaepsilon.solid.fourier.loads.LineLoad method) (sigmaepsilon.solid.fourier.loads.PointLoad method) (sigmaepsilon.solid.fourier.loads.RectangleLoad method)

rhs_Bernoulli() (in module sigmaepsilon.solid.fourier.preproc) rotation_matrices() (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShellLayer method) rotation_matrices_126() (in module sigmaepsilon.solid.model.utils) rotation_matrices_45() (in module sigmaepsilon.solid.model.utils) rotation_matrix() (sigmaepsilon.solid.model.membrane.MembraneLayer method)

S

section (sigmaepsilon.solid.fem.linemesh.LineMesh property) section_properties (sigmaepsilon.solid.model.bernoulli.section.BeamSection property) shape_function_derivatives() (sigmaepsilon.solid.fem.cells.bernoulli.BernoulliBase method) shape_function_matrix() (sigmaepsilon.solid.fem.cells.bernoulli.BernoulliBase method) shape_function_values() (sigmaepsilon.solid.fem.cells.bernoulli.BernoulliBase method) shpfnc() (sigmaepsilon.solid.fem.cells.bernoulli2.Bernoulli2 method) (sigmaepsilon.solid.fem.cells.bernoulli3.Bernoulli3 method) sigmaepsilon.solid.fem.dyn module sigmaepsilon.solid.fem.linsolve module sigmaepsilon.solid.fem.preproc module sigmaepsilon.solid.fem.utils module sigmaepsilon.solid.fourier.loads module sigmaepsilon.solid.fourier.plate module sigmaepsilon.solid.fourier.postproc module sigmaepsilon.solid.fourier.preproc module sigmaepsilon.solid.fourier.proc module

sigmaepsilon.solid.material.hooke.utils module sigmaepsilon.solid.model.bernoulli.section module sigmaepsilon.solid.model.membrane module sigmaepsilon.solid.model.utils module sigmaepsilon.topopt.oc.oc module solve() (sigmaepsilon.solid.fourier.plate.RectangularPlate method) solve_standard_form() (in module sigmaepsilon.solid.fem.linsolve) stiffness_matrix() (sigmaepsilon.solid.model.membrane.Membrane method) (sigmaepsilon.solid.model.membrane.MembraneLayer method) (sigmaepsilon.solid.model.metashell.Surface method) (sigmaepsilon.solid.model.mindlin.mindlin.MindlinPlate method) (sigmaepsilon.solid.model.mindlin.mindlin.MindlinPlateLayer method) (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShell method) (sigmaepsilon.solid.model.mindlin.mindlin.MindlinShellLayer method) strain_load_vector() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) strain_loads (sigmaepsilon.solid.fem.cells.celldata.CellData property) strains() (sigmaepsilon.solid.fem.cells.elem.FiniteElement method) (sigmaepsilon.solid.fem.mesh.FemMesh method) stresses_at_cells_nodes() (sigmaepsilon.solid.fem.mesh.FemMesh method) stresses_at_centers() (sigmaepsilon.solid.fem.mesh.FemMesh method) Surface (class in sigmaepsilon.solid.model.metashell)

T

t (sigmaepsilon.solid.model.metashell.MetaSurface property) TET10 (class in sigmaepsilon.solid.fem.cells.tet10) TET4 (class in sigmaepsilon.solid.fem.cells.tet4) to_dict() (sigmaepsilon.solid.fourier.loads.LoadGroup method)

topo_to_gnum() (in module sigmaepsilon.solid.fem.utils) topo_to_gnum_jagged() (in module sigmaepsilon.solid.fem.utils) topology() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method) trimesh() (sigmaepsilon.solid.model.bernoulli.section.BeamSection method)

V

vol (namedtuple field) OptRes (namedtuple in sigmaepsilon.topopt.oc.oc)

vshapes (sigmaepsilon.solid.fem.pointdata.PointData property)

W

weighted_stiffness_bulk() (in module sigmaepsilon.solid.fem.utils)

X

x (namedtuple field) OptRes (namedtuple in sigmaepsilon.topopt.oc.oc)