Description

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

This uses a 6x6 matrix [E] from user-input data. The [E] matrix can be computed from a preprocessing stage using a FEA analysis over a detailed 3D model of a slab of shell, hence recovering the 6x6 matrix in the linear mapping: {n,m}=[E]{e,k}.

#include <ChMaterialShellKirchhoff.h>

Inheritance diagram for chrono::fea::ChElasticityKirchhoffGeneric:

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Collaboration diagram for chrono::fea::ChElasticityKirchhoffGeneric:

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Public Member Functions
ChMatrixNM< double, 6, 6 > &	Ematrix ()
	Access the E matrix, for getting/setting its values. More...

virtual void	ComputeStress (ChVector<> &n, ChVector<> &m, const ChVector<> &eps, const ChVector<> &kur, const double z_inf, const double z_sup, const double angle) override
	The FE code will evaluate this function to compute per-unit-length forces/torques given the strains/curvatures. More...

virtual void	ComputeStiffnessMatrix (ChMatrixRef mC, const ChVector<> &eps, const ChVector<> &kur, const double z_inf, const double z_sup, const double angle) override
	Compute 12x12 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation per-unit-length forces/torques vs generalized strains. More...

Additional Inherited Members
Public Attributes inherited from chrono::fea::ChElasticityKirchhoff
ChMaterialShellKirchhoff *	section

Member Function Documentation

◆ ComputeStiffnessMatrix()

void chrono::fea::ChElasticityKirchhoffGeneric::ComputeStiffnessMatrix	(	ChMatrixRef	mC,
		const ChVector<> &	eps,
		const ChVector<> &	kur,
		const double	z_inf,
		const double	z_sup,
		const double	angle
	)

overridevirtual

Compute 12x12 stiffness matrix [Km] , that is [ds/de], the tangent of the constitutive relation per-unit-length forces/torques vs generalized strains.

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 from chrono::fea::ChElasticityKirchhoff.

◆ ComputeStress()

void chrono::fea::ChElasticityKirchhoffGeneric::ComputeStress	(	ChVector<> &	n,
		ChVector<> &	m,
		const ChVector<> &	eps,
		const ChVector<> &	kur,
		const double	z_inf,
		const double	z_sup,
		const double	angle
	)

overridevirtual

The FE code will evaluate this function to compute per-unit-length forces/torques given the strains/curvatures.

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) -not used in this, isotropic

Implements chrono::fea::ChElasticityKirchhoff.

◆ Ematrix()

ChMatrixNM<double, 6, 6>& chrono::fea::ChElasticityKirchhoffGeneric::Ematrix ( )

inline

Access the E matrix, for getting/setting its values.

This is the matrix that defines the linear elastic constitutive model as it maps yxz displacements "e" and xyz rotations "k" to the "n" force and "m" torque as in {n,m}=[E]{e,k}.

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

Additional Inherited Members

Member Function Documentation

◆ ComputeStiffnessMatrix()

◆ ComputeStress()

◆ Ematrix()