b2000::b2dbv3::ElasticityHelper2D< T > Struct Template Reference

#include "b2material_util.H"

Public Member Functions
	ElasticityHelper2D (const T material_ref[2][2], const T covariant_base[2][2])
void	set_strain (const T strain[3], const T temperature, const T alpha[3])
void	set_stress_and_or_d_stress_d_strain_mat (const T stress_mat[3], const T d_stress_d_strain_mat[6], T stress[3], T d_stress_d_strain[6])
void	store (const bool linear, const T displacement_gradient[2][2], const 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 [2][2]
	Material reference frame. Is initialized in the constructor.
bool	has_covariant_base
T	G [2][2]
T	G_d [2][2]
T	strain_gl_bg [3]
T	strain_gl_bg_te [3]
T	strain_gl_mat [3]
T	strain_gl_mat_te [3]
T	strain_normal
T	stress_pk2_bg [3]
T	stress_pk2_mat [3]
T	stress_cauchy_bg [3]
T	stress_cauchy_mat [3]
T	stress_normal
T	failure_index

Detailed Description

template<typename T>
struct b2000::b2dbv3::ElasticityHelper2D< T >

Helper class for elastic material models in conjunction with Total-Lagrange 2D elements. It simplifies the implementation of material formulations, but does not need to be used for implementing new material models.

Constructor & Destructor Documentation

ElasticityHelper2D()

template<typename T >

b2000::b2dbv3::ElasticityHelper2D< T >::ElasticityHelper2D ( const T  material_ref[2][2], const T  covariant_base[2][2]  )

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::ElasticityHelper2D< T >::set_strain ( const T  strain[3], const T  temperature, const T  alpha[3]  )

inline

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

Parameters

strain	The linear or Green-Lagrange 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 [11, 22, 12]. The shear component is assumed energy-equivalent, hence it 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 in the directions [11, 22, 12]. May be 0.

set_stress_and_or_d_stress_d_strain_mat()

template<typename T >

void b2000::b2dbv3::ElasticityHelper2D< T >::set_stress_and_or_d_stress_d_strain_mat ( const T  stress_mat[3], const T  d_stress_d_strain_mat[6], T  stress[3], T  d_stress_d_strain[6]  )

inline

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

Parameters

stress_mat	The linear or Second Piola-Kirchhoff stress, expressed in the orthogonal material reference frame. The order of the components is [11, 22, 12]. 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 3x3 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 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 3x3 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::ElasticityHelper2D< T >::store ( const bool  linear, const T  displacement_gradient[2][2], const FailureCriterion *  failure_criterion, b2000::GradientContainer *  gradient_container  )

inline

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

Parameters

linear	Whether the analysis is geometrically linear.
displacement_gradient	The gradient displacement tensor (column-major). It is F - I where F is the gradient deformation tensor and I the 3x3 identity matrix. This parameter may be 0 in linear analysis, it is used to calculate the Cauchy stress in nonlinear analysis.
failure_criterion	Pointer to a FailureCriterion instance. May be 0.
gradient_container	Is used to store the strains and stresses, the failure indices, etc.

Member Data Documentation

failure_index

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::failure_index

The failure index as returned from the FailureCriterion instance. Is initialized in the store() method.

G

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::G[2][2]

Covariant tangent vectors (row-major). Is initialized in the constructor.

G_d

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::G_d[2][2]

Contravariant tangent vectors (row-major). Is initialized in the constructor.

has_covariant_base

template<typename T >

bool b2000::b2dbv3::ElasticityHelper2D< T >::has_covariant_base

If the covariant tangent vectors differ from the rows of the identity matrix. Is initialized in the constructor.

has_material_ref

template<typename T >

bool b2000::b2dbv3::ElasticityHelper2D< T >::has_material_ref

If the material reference frame differs from the identity matrix. Is initialized in the constructor.

strain_gl_bg

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::strain_gl_bg[3]

Green-Lagrange strain in the branch-global (bg) reference frame, without thermal expansion. Is initialized in the set_strain() method.

strain_gl_bg_te

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::strain_gl_bg_te[3]

Green-Lagrange strain in the branch-global (bg) reference frame, including thermal expansion. Is initialized in the set_strain() method.

strain_gl_mat

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::strain_gl_mat[3]

Green-Lagrange strain in the material reference frame (mat), without thermal expansion. Is initialized in the set_strain() method.

strain_gl_mat_te

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::strain_gl_mat_te[3]

Green-Lagrange strain in the material reference frame (mat), including thermal expansion. Is initialized in the set_strain() method.

strain_normal

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::strain_normal

The strain in transverse (normal) direction, must be initialized in case of a plane-stress analysis.

stress_cauchy_bg

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::stress_cauchy_bg[3]

Cauchy stress in the branch-global (bg) reference frame. Is initialized in the store() method.

stress_cauchy_mat

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::stress_cauchy_mat[3]

Cauchy stress in the material (mat) reference frame. Is initialized in the store() method.

stress_normal

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::stress_normal

The stress in transverse (normal) direction, must be initialized in case of plane-strain analysis.

stress_pk2_bg

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::stress_pk2_bg[3]

Second Piola-Kirchhoff stress in the branch-global (bg) reference frame. Is initialized in the set_stress_and_or_d_stress_d_strain_mat() method.

stress_pk2_mat

template<typename T >

T b2000::b2dbv3::ElasticityHelper2D< T >::stress_pk2_mat[3]

Second Piola-Kirchhoff stress in the material (mat) reference frame. Is initialized in the set_stress_and_or_d_stress_d_strain_mat() method.

---

The documentation for this struct was generated from the following file:

• io/b2000_db/b2000_db_v3/b2material_util.H