Description

Base interface for elasticity of 6-field Reissner-Mindlin shells (kinematically-exact shell theory as in Witkowski et al.) to be used in a ChMaterialShellReissner.

Children classes must implement the ComputeStress function to get {n_u,n_v,m_u,m_v}=f({e_u,e_v,k_u,k_v}) Inherited materials do not define any thickness, which should be a property of the element or its layer(s) using this material.

#include <ChMaterialShellReissner.h>

Inheritance diagram for chrono::fea::ChElasticityReissner:

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Collaboration diagram for chrono::fea::ChElasticityReissner:

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Public Member Functions
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)=0
	Compute the generalized force and torque, given actual deformation and curvature. More...

virtual void	ComputeStiffnessMatrix (ChMatrixRef mC, 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)
	Compute the 12x12 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains. More...

Public Attributes
ChMaterialShellReissner *	section

Member Function Documentation

◆ ComputeStiffnessMatrix()

void chrono::fea::ChElasticityReissner::ComputeStiffnessMatrix	(	ChMatrixRef	mC,
		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
	)

virtual

Compute the 12x12 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains.

By default, it is computed by backward differentiation from the ComputeStress() function, but inherited classes should better provide an analytical form, if possible.

Parameters

mC	tangent 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 coord)
z_sup	layer upper z value (along thickness coord)
angle	layer angle respect to x (if needed)

Reimplemented in chrono::fea::ChElasticityReissnerGeneric, chrono::fea::ChElasticityReissnerOrthotropic, and chrono::fea::ChElasticityReissnerIsothropic.

◆ ComputeStress()

virtual void chrono::fea::ChElasticityReissner::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
	)

pure virtual

Compute the generalized force and torque, given actual deformation and curvature.

This MUST be implemented by subclasses.

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 coord)
z_sup	layer upper z value (along thickness coord)
angle	layer angle respect to x (if needed)

Implemented in chrono::fea::ChElasticityReissnerGeneric, chrono::fea::ChElasticityReissnerOrthotropic, and chrono::fea::ChElasticityReissnerIsothropic.

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

Public Attributes

Member Function Documentation

◆ ComputeStiffnessMatrix()

◆ ComputeStress()