fedoo.constitutivelaw.ElasticIsotrop

class ElasticIsotrop(E, nu, name='')

A simple linear elastic isotropic constitutive law defined from a Yound Modulus and a Poisson Ratio.

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

Parameters:

• E (scalars or arrays of gauss point values.) – The Young Modulus of the elastic isotropic material

• nu (scalars or arrays of gauss point values.) – The Poisson Ratio of the elastic isotropic material

• name (str, optional) – The name of the constitutive law

__init__(E, nu, name='')

Methods

ElasticIsotrop.get_H_plane_stress(H)	Convert a full 3D tangent matrix H in an equivalent behavior in 2D with the plane stress assumption.
ElasticIsotrop.get_all()	Return a dict with all the known ConstitutiveLaw (with a name).
ElasticIsotrop.get_current_local_frame([...])	Return the trial material frame in global coordinates.
ElasticIsotrop.get_elastic_matrix([dimension])
ElasticIsotrop.get_local_frame([assembly])	Return material frames, resolved at assembly Gauss points.
ElasticIsotrop.get_local_rotation([...])	Return a Simcoon rotation for the requested material frame.
ElasticIsotrop.get_stress_from_strain(...)
ElasticIsotrop.get_tangent_matrix(assembly)
ElasticIsotrop.global2local_H(H[, assembly, ...])	Rotate a global stiffness to material axes using Simcoon.
ElasticIsotrop.global2local_rotation_increment(DR)	Express a finite rotation increment in the initial material basis.
ElasticIsotrop.global2local_strain(strain[, ...])	Express engineering-strain vector(s) from global to material axes.
ElasticIsotrop.global2local_stress(stress[, ...])	Express stress Voigt vector(s) from global to material axes.
ElasticIsotrop.global2local_tensor(tensor[, ...])	Change both axes of 3x3 tensor fields to the initial material basis.
ElasticIsotrop.initialize(assembly, pb)	Initialize the constitutive law for the current problem.
ElasticIsotrop.local2global_H(H[, assembly, ...])	Rotate a material stiffness to global axes using Simcoon.
ElasticIsotrop.local2global_strain(strain[, ...])	Express engineering-strain vector(s) from material to global axes.
ElasticIsotrop.local2global_stress(stress[, ...])	Express stress Voigt vector(s) from material to global axes.
ElasticIsotrop.reset()	Reset the constitutive law.
ElasticIsotrop.set_density(density)	Set the mass density associated with this mechanical material.
ElasticIsotrop.set_local_frame(local_frame)	Define the material coordinate frame.
ElasticIsotrop.set_start(assembly, pb)	Begin a new time iteration.
ElasticIsotrop.to_start(assembly, pb)	Restart the current time iteration.
ElasticIsotrop.update(assembly, pb)	Update the constitutive law for the current problem state.

ElasticIsotrop.G	Shear modulus of the material
ElasticIsotrop.is_isotropic
ElasticIsotrop.manages_material_frame
ElasticIsotrop.name	Name of the constitutive law.
ElasticIsotrop.E	Young Modulus of the material
ElasticIsotrop.nu	Poisson Ratio of the material
ElasticIsotrop.is_initialized	Tag set to True once the law is intialized.