#include "b2material_util.H"

Public Member Functions
	ElasticityHelperShellResultants (const T material_ref[3][3], const T covariant_base[3][3])

void	set_strain (const T strain[8], const T temperature, const T alpha[8])

void	set_stress_and_or_d_stress_d_strain_mat (const T stress_mat[8], const T d_stress_d_strain_mat[36], T stress[8], T d_stress_d_strain[36])

void	store (const bool linear, const b2dbv3::FailureCriterion failure_criterion, b2000::GradientContainer gradient_container)

Public Attributes
bool	has_thermal_expansion
	Whether STRAIN_MECHANICAL fields will be written.

bool	has_material_ref

T	M [3][3]

bool	has_covariant_base

T	G [3][3]

T	G_d [3][3]

T	strain_gl_mat [8]

T	strain_gl_mat_te [8]

T	stress_pk2_mat [8]

T	failure_index

Detailed Description

template<typename T>
struct b2000::b2dbv3::ElasticityHelperShellResultants< T >

Helper class for elastic material models for shell resultants in conjunction with Total-Lagrange 2.5D (shell) elements. It simplifies the implementation of material formulations, but does not need to be used for implementing new material models.

Constructor & Destructor Documentation

◆ ElasticityHelperShellResultants()

template<typename T >

b2000::b2dbv3::ElasticityHelperShellResultants< T >::ElasticityHelperShellResultants	(	const T	material_ref[3][3],
		const T	covariant_base[3][3]
	)

inline

Parameters

material_ref	The orthogonal material reference frame (row-major), typically calculated by the element property from user-specified MBASE. May be 0 for isotropic materials.
covariant_base	The non-orthogonal covariant basis of the (shell) element. May be 0, depending on the element formulation.

Member Function Documentation

◆ set_strain()

template<typename T >

void b2000::b2dbv3::ElasticityHelperShellResultants< T >::set_strain	(	const T	strain[8],
		const T	temperature,
		const T	alpha[8]
	)

inline

Enter the calculated strain, transform it, and calculate the thermal pre-strain.

Parameters

strain	The linear or Green-Lagrange shell strain as calculated by the element formulation, depending on the covariant_base parameter it is expressed either in the element covariant basis or in the branch-global orthogonal reference frame. The order of the components is [M11, M22, M12, B11, B22, B12, T23, T13]. The shear components are assumed energy-equivalent, hence they must be premultiplied by a factor of 2. The parameter strain may be 0.
temperature	The temperature difference, invoking a thermal expansion or contraction.
alpha	The thermal expansion coefficients. May be 0.

◆ set_stress_and_or_d_stress_d_strain_mat()

template<typename T >

void b2000::b2dbv3::ElasticityHelperShellResultants< T >::set_stress_and_or_d_stress_d_strain_mat	(	const T	stress_mat[8],
		const T	d_stress_d_strain_mat[36],
		T	stress[8],
		T	d_stress_d_strain[36]
	)

inline

Enter the calculated stress and/or the tangent constitutive matrix.

Parameters

stress_mat	The linear or Second Piola-Kirchhoff shell stress, expressed in the orthogonal material reference frame. The order of the components is [M11, M22, M12, B11, B22, B12, T23, T13]. The parameter stress_mat may be 0. In this case, the stress will be calculated from the strain and the constitutive matrix.
d_stress_d_strain_mat	The (tangent) constitutive symmetric 8x8 shell material matrix in lower-packed column-major format, expressed in the orthogonal material reference frame. May be 0 (if d_stress_d_strain is 0).
stress	The transformed shell stress, it is expressed either in the element covariant basis or in the branch-global orthogonal reference frame, depending on the covariant_base parameter. May be 0.
d_stress_d_strain	The (tangent) constitutive symmetric 8x8 shell material matrix in lower-packed column-major format. Depending on the covariant_base parameter, it is expressed either in the element covariant basis or in the branch-global orthogonal reference frame. May be 0.

◆ store()

template<typename T >

void b2000::b2dbv3::ElasticityHelperShellResultants< T >::store	(	const bool	linear,
		const b2dbv3::FailureCriterion *	failure_criterion,
		b2000::GradientContainer *	gradient_container
	)

inline

Store the different calculated shell stresses and shell strains, and evaluate the failure index.

Parameters

linear	Whether the analysis is geometrically linear.
failure_criterion	Pointer to a FailureCriterion instance. May be 0.
gradient_container	Is used to store the strains and stresses, the failure indices, etc.