Description

Material for a single layer of a 6-field Reissner-Mindlin shells (kinematically-exact shell theory as in Witkowski et al).

This base implementation assumes that one creates a ChMaterialShellReissner by providing three components:

an elasticity model (from ChElasticityReissner classes)
a plasticity model (optional, from ChPlasticityReissner classes)
a damping model (optional, from ChDampingReissner classes)

Thickness is defined when adding a ChMaterialShellReissner material as a layer in a shell finite element (ex. ChElementShellReissner4). A material can be shared between multiple layers.

#include <ChMaterialShellReissner.h>

Inheritance diagram for chrono::fea::ChMaterialShellReissner:

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Collaboration diagram for chrono::fea::ChMaterialShellReissner:

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Public Member Functions
	ChMaterialShellReissner (std::shared_ptr< ChElasticityReissner > melasticity)

	ChMaterialShellReissner (std::shared_ptr< ChElasticityReissner > melasticity, std::shared_ptr< ChPlasticityReissner > mplasticity)

	ChMaterialShellReissner (std::shared_ptr< ChElasticityReissner > melasticity, std::shared_ptr< ChPlasticityReissner > mplasticity, std::shared_ptr< ChDampingReissner > mdamping)

virtual void	ComputeStress (ChVector3d &n_u, ChVector3d &n_v, ChVector3d &m_u, ChVector3d &m_v, const ChVector3d &eps_u, const ChVector3d &eps_v, const ChVector3d &kur_u, const ChVector3d &kur_v, const double z_inf, const double z_sup, const double angle, ChShellReissnerInternalData mdata_new=nullptr, const ChShellReissnerInternalData mdata=nullptr)
	Compute the generalized cut force and cut torque, given the actual generalized section strain expressed as deformation vector e and curvature k. More...

virtual void	ComputeStiffnessMatrix (ChMatrixRef K, const ChVector3d &eps_u, const ChVector3d &eps_v, const ChVector3d &kur_u, const ChVector3d &kur_v, const double z_inf, const double z_sup, const double angle, const ChShellReissnerInternalData *mdata=nullptr)
	Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε at a given strain state, and at given internal data state. More...

void	SetElasticity (std::shared_ptr< ChElasticityReissner > melasticity)
	Set the elasticity model for this section. More...

std::shared_ptr< ChElasticityReissner >	GetElasticity ()
	Get the elasticity model for this section. More...

void	SetPlasticity (std::shared_ptr< ChPlasticityReissner > mplasticity)
	Set the plasticity model for this section. More...

std::shared_ptr< ChPlasticityReissner >	GetPlasticity ()
	Get the elasticity model for this section, if any. More...

void	SetDamping (std::shared_ptr< ChDampingReissner > mdamping)
	Set the damping model for this section. More...

std::shared_ptr< ChDampingReissner >	GetDamping ()
	Get the damping model for this section. More...

Public Member Functions inherited from chrono::fea::ChMaterialFEA
void	SetDensity (double density)
	Set the material density.

double	GetDensity () const
	Return the material density.

Additional Inherited Members
Protected Member Functions inherited from chrono::fea::ChMaterialFEA
	ChMaterialFEA (double density)

Protected Attributes inherited from chrono::fea::ChMaterialFEA
double	m_density
	density

Constructor & Destructor Documentation

◆ ChMaterialShellReissner() [1/3]

chrono::fea::ChMaterialShellReissner::ChMaterialShellReissner ( std::shared_ptr< ChElasticityReissner > melasticity )

Parameters

melasticity elasticity model

◆ ChMaterialShellReissner() [2/3]

chrono::fea::ChMaterialShellReissner::ChMaterialShellReissner	(	std::shared_ptr< ChElasticityReissner >	melasticity,
		std::shared_ptr< ChPlasticityReissner >	mplasticity
	)

Parameters

melasticity	elasticity model
mplasticity	plasticity model, if any

◆ ChMaterialShellReissner() [3/3]

chrono::fea::ChMaterialShellReissner::ChMaterialShellReissner	(	std::shared_ptr< ChElasticityReissner >	melasticity,
		std::shared_ptr< ChPlasticityReissner >	mplasticity,
		std::shared_ptr< ChDampingReissner >	mdamping
	)

Parameters

melasticity	elasticity model
mplasticity	plasticity model, if any
mdamping	damping model, if any

Member Function Documentation

◆ ComputeStiffnessMatrix()

void chrono::fea::ChMaterialShellReissner::ComputeStiffnessMatrix	(	ChMatrixRef	K,
		const ChVector3d &	eps_u,
		const ChVector3d &	eps_v,
		const ChVector3d &	kur_u,
		const ChVector3d &	kur_v,
		const double	z_inf,
		const double	z_sup,
		const double	angle,
		const ChShellReissnerInternalData *	mdata = `nullptr`
	)

virtual

Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε at a given strain state, and at given internal data state.

If mdata=nullptr, computes only the elastic tangent stiffness, regardless of plasticity.

Parameters

K	12x12 stiffness matrix
eps_u	strains along u direction
eps_v	strains along v direction
kur_u	curvature along u direction
kur_v	curvature along v direction
z_inf	layer lower z value (along thickness coordinate)
z_sup	layer upper z value (along thickness coordinate)
angle	layer angle respect to x (if needed)
mdata	material internal variables, at this point, if any, including {p_strain_e, p_strain_k, p_strain_acc}

◆ ComputeStress()

void chrono::fea::ChMaterialShellReissner::ComputeStress	(	ChVector3d &	n_u,
		ChVector3d &	n_v,
		ChVector3d &	m_u,
		ChVector3d &	m_v,
		const ChVector3d &	eps_u,
		const ChVector3d &	eps_v,
		const ChVector3d &	kur_u,
		const ChVector3d &	kur_v,
		const double	z_inf,
		const double	z_sup,
		const double	angle,
		ChShellReissnerInternalData *	mdata_new = `nullptr`,
		const ChShellReissnerInternalData *	mdata = `nullptr`
	)

virtual

Compute the generalized cut force and cut torque, given the actual generalized section strain expressed as deformation vector e and curvature k.

That is: {n_u,n_v,m_u,m_v}=f({e_u,e_v,k_u,k_v}), and given the actual material state required for plasticity if any (but if mdata=nullptr, computes only the elastic force). If there is plasticity, the stress is clamped by automatically performing an implicit return mapping. For generality, if possible this is the function that should be used by beam finite elements to compute internal forces, ex.by some Gauss quadrature.

Parameters

n_u	forces along u direction (per unit length)
n_v	forces along v direction (per unit length)
m_u	torques along u direction (per unit length)
m_v	torques along v direction (per unit length)
eps_u	strains along u direction
eps_v	strains along v direction
kur_u	curvature along u direction
kur_v	curvature along v direction
z_inf	layer lower z value (along thickness coordinate)
z_sup	layer upper z value (along thickness coordinate)
angle	layer angle respect to x (if needed)
mdata_new	updated material internal variables, at this point, including {p_strain_e, p_strain_k, p_strain_acc}
mdata	current material internal variables, at this point, including {p_strain_e, p_strain_k, p_strain_acc}

◆ GetDamping()

std::shared_ptr<ChDampingReissner> chrono::fea::ChMaterialShellReissner::GetDamping ( )

inline

Get the damping model for this section.

By default no damping.

◆ GetElasticity()

std::shared_ptr<ChElasticityReissner> chrono::fea::ChMaterialShellReissner::GetElasticity ( )

inline

Get the elasticity model for this section.

Use this function to access parameters such as stiffness, Young modulus, etc. By default it uses a simple centered linear elastic model.

◆ GetPlasticity()

std::shared_ptr<ChPlasticityReissner> chrono::fea::ChMaterialShellReissner::GetPlasticity ( )

inline

Get the elasticity model for this section, if any.

Use this function to access parameters such as yeld limit, etc.

◆ SetDamping()

void chrono::fea::ChMaterialShellReissner::SetDamping ( std::shared_ptr< ChDampingReissner > mdamping )

Set the damping model for this section.

By default no damping.

◆ SetElasticity()

void chrono::fea::ChMaterialShellReissner::SetElasticity ( std::shared_ptr< ChElasticityReissner > melasticity )

Set the elasticity model for this section.

By default it uses a simple centered linear elastic model, but you can set more complex models.

◆ SetPlasticity()

void chrono::fea::ChMaterialShellReissner::SetPlasticity ( std::shared_ptr< ChPlasticityReissner > mplasticity )

Set the plasticity model for this section.

This is independent from the elasticity model. Note that by default there is no plasticity model, so by default plasticity never happens.

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

/builds/uwsbel/chrono/src/chrono/fea/ChMaterialShellReissner.h
/builds/uwsbel/chrono/src/chrono/fea/ChMaterialShellReissner.cpp

Description

Public Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

◆ ChMaterialShellReissner() [1/3]

◆ ChMaterialShellReissner() [2/3]

◆ ChMaterialShellReissner() [3/3]

Member Function Documentation

◆ ComputeStiffnessMatrix()

◆ ComputeStress()

◆ GetDamping()

◆ GetElasticity()

◆ GetPlasticity()

◆ SetDamping()

◆ SetElasticity()

◆ SetPlasticity()