Description

Base interface for elasticity of thin shells (Kirchoff-Love shell theory, without shear effects) to be used in a ChMaterialShellKirchhoff.

Children classes must implement the ComputeStress function to get {n,m}=f({e,k}) that is per-unit-length forces/torques n_11,n22,n12,m_11,m_22,m_12 given the strains/curvatures e_11 e_22 e_12 k_11 k_22 k_12. Inherited materials do not define any thickness, which should be a property of the element or its layer(s) using this material.

#include <ChMaterialShellKirchhoff.h>

Inheritance diagram for chrono::fea::ChElasticityKirchhoff:

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Collaboration diagram for chrono::fea::ChElasticityKirchhoff:

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Public Member Functions
virtual void	ComputeStress (ChVector3d &n, ChVector3d &m, const ChVector3d &eps, const ChVector3d &kur, 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, const ChVector3d &kur, const double z_inf, const double z_sup, const double angle)
	Compute the 6x6 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation stresses/strains. More...

Public Attributes
ChMaterialShellKirchhoff *	section

Member Function Documentation

◆ ComputeStiffnessMatrix()

void chrono::fea::ChElasticityKirchhoff::ComputeStiffnessMatrix	(	ChMatrixRef	mC,
		const ChVector3d &	eps,
		const ChVector3d &	kur,
		const double	z_inf,
		const double	z_sup,
		const double	angle
	)

virtual

Compute the 6x6 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	strains e_11, e_22, e_12
kur	curvature k_11, k_22, k_12
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::ChElasticityKirchhoffGeneric, chrono::fea::ChElasticityKirchhoffOrthotropic, and chrono::fea::ChElasticityKirchhoffIsothropic.

◆ ComputeStress()

virtual void chrono::fea::ChElasticityKirchhoff::ComputeStress	(	ChVector3d &	n,
		ChVector3d &	m,
		const ChVector3d &	eps,
		const ChVector3d &	kur,
		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	forces n_11, n_22, n_12 (per unit length)
m	torques m_11, m_22, m_12 (per unit length)
eps	strains e_11, e_22, e_12
kur	curvature k_11, k_22, k_12
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::ChElasticityKirchhoffGeneric, chrono::fea::ChElasticityKirchhoffOrthotropic, and chrono::fea::ChElasticityKirchhoffIsothropic.

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

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

Description

Public Member Functions

Public Attributes

Member Function Documentation

◆ ComputeStiffnessMatrix()

◆ ComputeStress()