ug::SmallStrainMechanics::PrandtlReuss< TDomain > Class Template Reference

#include <prandtl_reuss.h>

Inheritance diagram for ug::SmallStrainMechanics::PrandtlReuss< TDomain >:

Classes
struct	ElemData
struct	InternalVars
	attached ElemData More...
struct	MaterialConstants

Public Types
typedef base_type::TBaseElem	TBaseElem
	base element type
Public Types inherited from ug::SmallStrainMechanics::IMaterialLaw< TDomain >
typedef domain_traits< TDomain::dim >::grid_base_object	TBaseElem
	base element type of associated domain

Public Member Functions
virtual void	attach_internal_vars (typename TDomain::grid_type &grid)
	use this method to make sure that all required attachments are attached
virtual void	clear_attachments (typename TDomain::grid_type &grid)
SmartPtr< MathTensor4< TDomain::dim, TDomain::dim, TDomain::dim, TDomain::dim > >	elasticityTensor (const size_t ip, const MathMatrix< dim, dim > &GradU)
	computes the elasticity tensor; commonly denoted by C
virtual number	hardening_parameter (const size_t ip)
virtual SmartPtr< MathMatrix< dim, dim > >	inelastic_strain_tensor (const size_t ip)
void	init ()
virtual void	init_internal_vars (TBaseElem *elem, const size_t numIP)
virtual void	internal_vars (TBaseElem *elem)
virtual bool	needs_to_add_jac_m ()
virtual number	plastic_multiplier (const size_t ip, const MathMatrix< dim, dim > &GradU)
	PrandtlReuss ()
	constructor
void	set_bulk_modulus (const number bulkModulus)
	set-methods for material constants
void	set_hardening_behavior (int hard)
void	set_hardening_exponent (const number hardExponent)
void	set_hardening_modulus (const number hardModulus)
void	set_initial_flow_stress (const number initialFlowStress)
void	set_residual_flow_stress (const number resFlowStress)
void	set_shear_modulus (const number shearModulus)
void	set_tangent_precision (const number tanAccur)
	set precision of numerical approximation of the tangent
void	stressTensor (MathMatrix< dim, dim > &stressTens, const size_t ip, const MathMatrix< dim, dim > &GradU)
	computes the cauchy stress tensor sigma at an integration point 'ip'
virtual void	update_internal_vars (const size_t ip, const MathMatrix< dim, dim > &GradU)
virtual void	write_data_to_console (const number t)
	~PrandtlReuss ()
	Destructor.
Public Member Functions inherited from ug::SmallStrainMechanics::IMaterialLaw< TDomain >
template<typename TFEGeom >
void	DisplacementGradient (MathMatrix< dim, dim > &GradU, const size_t ip, const TFEGeom &geo, const LocalVector &u)
virtual SmartPtr< MathTensor4< dim, dim, dim, dim > >	elasticityTensor ()
virtual SmartPtr< MathTensor4< dim, dim, dim, dim > >	elasticityTensor (const size_t ip, const MathVector< dim > &x, const MathMatrix< dim, dim > &GradU)
bool	elastTensIsConstant ()
	IMaterialLaw ()
	constructor
bool	is_initialized ()
virtual void	stressTensor (MathMatrix< dim, dim > &stressTens, const size_t ip, const MathVector< dim > &x, const MathMatrix< dim, dim > &GradU)
virtual	~IMaterialLaw ()
	destructor

Public Attributes
std::string	m_materialConfiguration
Public Attributes inherited from ug::SmallStrainMechanics::IMaterialLaw< TDomain >
std::string	m_materialConfiguration

Static Public Attributes
static const int	dim = base_type::dim
	World dimension.
Static Public Attributes inherited from ug::SmallStrainMechanics::IMaterialLaw< TDomain >
static const int	dim = TDomain::dim
	World dimension.

Private Types
typedef Attachment< ElemData >	AElemData
typedef IMaterialLaw< TDomain >	base_type
	Base class type.
typedef Grid::AttachmentAccessor< TBaseElem, AElemData >	ElemDataAccessor
typedef PrandtlReuss< TDomain >	this_type
	own type

Private Member Functions
void	ConstLaw (MathMatrix< dim, dim > &stressTens, const MathMatrix< dim, dim > &strainTens, const MathMatrix< dim, dim > &strial, const number &gamma, const MathMatrix< dim, dim > &normal)
number	ExponentialHardening (const number strialnorm, const number alpha)
void	Flowrule (MathMatrix< dim, dim > &strain_p_new, MathMatrix< dim, dim > &strain, number &gamma, MathMatrix< dim, dim > &strial, MathMatrix< dim, dim > &normal, const MathMatrix< dim, dim > &GradU, const MathMatrix< dim, dim > &strain_p_old_t, const number alpha)
number	Hardening (const number alpha)
number	Hardening_d (const number alpha)
number	LinearHardening (const number flowcondtrial)
number	PerfectPlasticity (const number flowcondtrial)
void	strainTensor (MathMatrix< dim, dim > &strainTens, const MathMatrix< dim, dim > &GradU)
void	StressTensor (MathMatrix< dim, dim > &stressTens, const MathMatrix< dim, dim > &GradU, const MathMatrix< dim, dim > &strain_p_old_t, const number alpha)
void	Update_internal_vars (MathMatrix< dim, dim > &strain_p_new, number &alpha, const MathMatrix< dim, dim > &GradU, const MathMatrix< dim, dim > &strain_p_old_t)

Private Attributes
ElemDataAccessor	m_aaElemData
AElemData	m_aElemData
bool	m_bHardExp
bool	m_bHardModulus
	flags indicating if hardening variables are set
number	m_HardAccuracy
int	m_hardening
	hardening behavior
number	m_max_k_tan
	max condition number for numerical approximated matrix
size_t	m_MaxHardIter
number	m_min_k_tan
ElemData *	m_pElemData
size_t	m_plasticIPs
number	m_tangentAccur
	tangent accuracy
struct ug::SmallStrainMechanics::PrandtlReuss::MaterialConstants	matConsts

Additional Inherited Members
Protected Attributes inherited from ug::SmallStrainMechanics::IMaterialLaw< TDomain >
bool	m_bConstElastTens
	flag indicating, if elasticity tensor is constant
bool	m_bInit
	flag indicating, if material law has been initialized

Detailed Description

template<typename TDomain>
class ug::SmallStrainMechanics::PrandtlReuss< TDomain >

This class implements a material law for small strain elastoplastic material behavior

It is supposed, that the linearized strain tensor could be decomposed additively:

eps = eps_e + eps_p.

The plastic behavior is described by a flow-condition and a flow-rule for the plastic evolution (\frac{\partial eps_p){\partial t} = ...). The flow-condition is of von-Mises-type and the flow-rule is associative. To treat the plastic equations we use the well-established return-mapping-algorithm. Its classical form is valid for the 3d-case and the plane strain-case, but not for the plane stress-case!

References:

• J.C. Simo and T.J.R. Hughes. Computational Inelasticity. Springer, New York (1998), chapter 3.3.1
• F.-J. Barthold, M. Schmidt and E. Stein. Error indicators and mesh refinements for
• finite-element computations of elastoplastic deformations. Computational Mechanics Vol. 22, 225-238 (1998)

Template Parameters

TDomain

Member Data Documentation

m_materialConfiguration

template<typename TDomain >

std::string ug::SmallStrainMechanics::IMaterialLaw< TDomain >::m_materialConfiguration

Referenced by ug::SmallStrainMechanics::PrandtlReuss< TDomain >::PrandtlReuss(), ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_bulk_modulus(), ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_hardening_exponent(), ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_hardening_modulus(), ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_initial_flow_stress(), ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_residual_flow_stress(), ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_shear_modulus(), and ug::SmallStrainMechanics::PrandtlReuss< TDomain >::set_tangent_precision().

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The documentation for this class was generated from the following files:

• /home/runner/work/docs/docs/ug4/plugins/SmallStrainMechanics/material_laws/prandtl_reuss.h
• /home/runner/work/docs/docs/ug4/plugins/SmallStrainMechanics/material_laws/prandtl_reuss_impl.h