serac::solid_mechanics Namespace Reference

SolidMechanics helper data types. More...

Classes
struct	ParameterizedLinearIsotropicSolid
	Linear isotropic elasticity material model. More...
struct	ParameterizedNeoHookeanSolid
	Neo-Hookean material model. More...
struct	underlying_scalar
	Infers type resulting from algebraic expressions of a group of variables. More...
struct	ParameterizedJ2Nonlinear
	J2 material with Voce hardening, with hardening parameters exposed as differentiable parameters. More...
struct	LinearIsotropic
	Linear isotropic elasticity material model. More...
struct	StVenantKirchhoff
	St. Venant Kirchhoff hyperelastic model. More...
struct	NeoHookean
	Neo-Hookean material model. More...
struct	PowerLawHardening
	Power-law isotropic hardening law. More...
struct	VoceHardening
	Voce's isotropic hardening law. More...
struct	J2Nonlinear
	J2 material with nonlinear isotropic hardening. More...
struct	J2
	a 3D constitutive model for a J2 material with linear isotropic and kinematic hardening. More...
struct	ConstantBodyForce
	Constant body force model. More...
struct	ConstantTraction
	Constant traction boundary condition model. More...

Functions
template<typename T , int dim>
auto	greenStrain (const tensor< T, dim, dim > &grad_u)
	Compute Green's strain from the displacement gradient.
template<typename T1 , typename T2 , int dim>
auto	KirchhoffToPiola (const tensor< T1, dim, dim > &kirchhoff_stress, const tensor< T2, dim, dim > &displacement_gradient)
	Transform the Kirchhoff stress to the Piola stress. More...
template<typename T1 , typename T2 , int dim>
auto	CauchyToPiola (const tensor< T1, dim, dim > &cauchy_stress, const tensor< T2, dim, dim > &displacement_gradient)
	Transform the Cauchy stress to the Piola stress. More...

Variables
const LinearSolverOptions	default_linear_options
	default method and tolerances for solving the systems of linear equations that show up in implicit solid mechanics simulations More...
const LinearSolverOptions	direct_linear_options = {.linear_solver = LinearSolver::SuperLU, .print_level = 0}
	the default direct solver option for solving the linear stiffness equations
const NonlinearSolverOptions	default_nonlinear_options
	default iteration limits, tolerances and verbosity for solving the systems of nonlinear equations that show up in implicit solid mechanics simulations More...
const TimesteppingOptions	default_quasistatic_options = {TimestepMethod::QuasiStatic}
	default quasistatic timestepping options for solid mechanics
const TimesteppingOptions	default_timestepping_options
	default implicit dynamic timestepping options for solid mechanics More...

Detailed Description

SolidMechanics helper data types.

Function Documentation

CauchyToPiola()

template<typename T1 , typename T2 , int dim>

auto serac::solid_mechanics::CauchyToPiola	(	const tensor< T1, dim, dim > &	cauchy_stress,
		const tensor< T2, dim, dim > &	displacement_gradient
	)

Transform the Cauchy stress to the Piola stress.

Template Parameters

T1	number-like type of the Cauchy stress components
T2	number-like type of the displacement gradient components
dim	number of spatial dimensions

Parameters

displacement_gradient	Displacement gradient
cauchy_stress	Cauchy stress

Returns

Piola stress

Definition at line 326 of file solid_material.hpp.

KirchhoffToPiola()

template<typename T1 , typename T2 , int dim>

auto serac::solid_mechanics::KirchhoffToPiola	(	const tensor< T1, dim, dim > &	kirchhoff_stress,
		const tensor< T2, dim, dim > &	displacement_gradient
	)

Transform the Kirchhoff stress to the Piola stress.

Template Parameters

T1	number-like type of the displacement gradient components
T1	number-like type of the Kirchhoff stress components
dim	number of spatial dimensions

Parameters

displacement_gradient	Displacement gradient
kirchhoff_stress	Kirchhoff stress

Returns

Piola stress

Definition at line 309 of file solid_material.hpp.

Variable Documentation

default_linear_options

const LinearSolverOptions serac::solid_mechanics::default_linear_options

Initial value:

= {.linear_solver  = LinearSolver::GMRES,
                                                    .preconditioner = Preconditioner::HypreAMG,
                                                    .relative_tol   = 1.0e-6,
                                                    .absolute_tol   = 1.0e-16,
                                                    .max_iterations = 500,
                                                    .print_level    = 0}

default method and tolerances for solving the systems of linear equations that show up in implicit solid mechanics simulations

Definition at line 49 of file solid_mechanics.hpp.

default_nonlinear_options

const NonlinearSolverOptions serac::solid_mechanics::default_nonlinear_options

Initial value:

= {.nonlin_solver  = NonlinearSolver::Newton,
                                                          .relative_tol   = 1.0e-4,
                                                          .absolute_tol   = 1.0e-8,
                                                          .max_iterations = 10,
                                                          .print_level    = 1}

default iteration limits, tolerances and verbosity for solving the systems of nonlinear equations that show up in implicit solid mechanics simulations

Definition at line 68 of file solid_mechanics.hpp.

default_timestepping_options

const TimesteppingOptions serac::solid_mechanics::default_timestepping_options

Initial value:

= {TimestepMethod::Newmark,
                                                          DirichletEnforcementMethod::RateControl}

default implicit dynamic timestepping options for solid mechanics

Definition at line 78 of file solid_mechanics.hpp.