fedoo.constitutivelaw.ElasticOrthotropic

class ElasticOrthotropic(Ex, Ey, Ez, Gyz, Gxz, Gxy, nuyz, nuxz, nuxy, name='')

Linear Orthotropic constitutive law defined from the engineering coefficients in local material coordinates.

The constitutive Law should be associated with fedoo.weakform.StressEquilibrium

Parameters:

  • EX (scalars or arrays of gauss point values) – Young modulus along the X direction

  • EY (scalars or arrays of gauss point values) – Young modulus along the Y direction

  • EZ (scalars or arrays of gauss point values) – Young modulus along the Z direction

  • GYZ (scalars or arrays of gauss point values) – Shear modulus

  • GXZ (scalars or arrays of gauss point values) – Shear modulus

  • GXY (scalars or arrays of gauss point values) – Shear modulus

  • nuYZ (scalars or arrays of gauss point values) – Poisson’s ratio

  • nuXZ (scalars or arrays of gauss point values) – Poisson’s ratio

  • nuXY (scalars or arrays of gauss point values) – Poisson’s ratio

Notes

Material directions X / Y / Z map to fedoo’s slot ordering. In 2Daxi, slot 2 carries the hoop response, so EZ, GYZ, GXZ, nuYZ, nuXZ refer to the hoop direction, not Cartesian z. See fedoo.core.mechanical3d.Mechanical3D for details.

__init__(Ex, Ey, Ez, Gyz, Gxz, Gxy, nuyz, nuxz, nuxy, name='')

Methods

ElasticOrthotropic.get_H_plane_stress(H)

Convert a full 3D tangent matrix H in an equivalent behavior in 2D with the plane stress assumption.

ElasticOrthotropic.get_all()

Return a dict with all the known ConstitutiveLaw (with a name).

ElasticOrthotropic.get_current_local_frame([...])

Return the trial material frame in global coordinates.

ElasticOrthotropic.get_elastic_matrix([...])

ElasticOrthotropic.get_local_frame([assembly])

Return material frames, resolved at assembly Gauss points.

ElasticOrthotropic.get_local_rotation([...])

Return a Simcoon rotation for the requested material frame.

ElasticOrthotropic.get_stress_from_strain(...)

ElasticOrthotropic.get_tangent_matrix(assembly)

ElasticOrthotropic.global2local_H(H[, ...])

Rotate a global stiffness to material axes using Simcoon.

ElasticOrthotropic.global2local_rotation_increment(DR)

Express a finite rotation increment in the initial material basis.

ElasticOrthotropic.global2local_strain(strain)

Express engineering-strain vector(s) from global to material axes.

ElasticOrthotropic.global2local_stress(stress)

Express stress Voigt vector(s) from global to material axes.

ElasticOrthotropic.global2local_tensor(tensor)

Change both axes of 3x3 tensor fields to the initial material basis.

ElasticOrthotropic.initialize(assembly, pb)

Initialize the constitutive law for the current problem.

ElasticOrthotropic.local2global_H(H[, ...])

Rotate a material stiffness to global axes using Simcoon.

ElasticOrthotropic.local2global_strain(strain)

Express engineering-strain vector(s) from material to global axes.

ElasticOrthotropic.local2global_stress(stress)

Express stress Voigt vector(s) from material to global axes.

ElasticOrthotropic.reset()

Reset the constitutive law.

ElasticOrthotropic.set_density(density)

Set the mass density associated with this mechanical material.

ElasticOrthotropic.set_local_frame(local_frame)

Define the material coordinate frame.

ElasticOrthotropic.set_start(assembly, pb)

Begin a new time iteration.

ElasticOrthotropic.to_start(assembly, pb)

Restart the current time iteration.

ElasticOrthotropic.update(assembly, pb)

Update the constitutive law for the current problem state.

ElasticOrthotropic.is_isotropic

ElasticOrthotropic.manages_material_frame

ElasticOrthotropic.name

Name of the constitutive law.

ElasticOrthotropic.is_initialized

Tag set to True once the law is intialized.