DICe::mesh::Shape_Function_Evaluator Class Reference

Base class for shape function evaluation. More...

#include <DICe_Mesh.h>

Inheritance diagram for DICe::mesh::Shape_Function_Evaluator:

Public Member Functions
	Shape_Function_Evaluator (const int_t num_functions, const int_t dimension)
virtual	~Shape_Function_Evaluator ()
	Destructor.
int_t	num_functions () const
	Returns the number of functions.
int_t	dimension () const
	Returns the spatial dimension.
virtual void	evaluate_shape_functions (const scalar_t *nodal_coords, const scalar_t *point_coords, const scalar_t &coefficient, scalar_t *shape_function_values)=0
virtual void	evaluate_shape_functions (const scalar_t *natural_coords, scalar_t *shape_function_values)=0
virtual void	evaluate_shape_function_derivatives (const scalar_t *nodal_coords, const scalar_t &coefficient, scalar_t *shape_function_derivative_values)=0
virtual void	evaluate_shape_function_derivatives (const scalar_t *natural_coords, scalar_t *shape_function_derivative_values)=0
virtual bool	is_in_element (const scalar_t *nodal_coords, const scalar_t *point_coords, const scalar_t &coefficient)=0
virtual void	get_natural_integration_points (const int_t order, Teuchos::ArrayRCP< Teuchos::ArrayRCP< scalar_t > > &locations, Teuchos::ArrayRCP< scalar_t > &weights, int_t &num_points)=0

Protected Attributes
const int_t	num_functions_
	Protect the default constructor. More...
const int_t	dimension_
	Number of spatial dimensions.

Detailed Description

Base class for shape function evaluation.

Constructor & Destructor Documentation

Shape_Function_Evaluator()

DICe::mesh::Shape_Function_Evaluator::Shape_Function_Evaluator ( const int_t  num_functions, const int_t  dimension  )

inline

Constrtuctor

Parameters

num_functions	The number of shape functions
dimension	The spatial dimension

Member Function Documentation

evaluate_shape_function_derivatives() [1/2]

virtual void DICe::mesh::Shape_Function_Evaluator::evaluate_shape_function_derivatives ( const scalar_t *  natural_coords, scalar_t *  shape_function_derivative_values  )

pure virtual

Evaluation of the shape function derivatives

Parameters

natural_coords	the isoparamteric coords of the point
shape_function_derivative_values	the array that is returned with the shape function derivatives

Implemented in DICe::mesh::FEM_Barycentric_Tri6, DICe::mesh::FEM_Quadratic_Tri6, DICe::mesh::FEM_Linear_Tri3, DICe::mesh::FEM_Linear_Quad4, DICe::mesh::FEM_Linear_Hex8, DICe::mesh::CVFEM_Linear_Tet4, and DICe::mesh::CVFEM_Linear_Tri3.

evaluate_shape_function_derivatives() [2/2]

virtual void DICe::mesh::Shape_Function_Evaluator::evaluate_shape_function_derivatives ( const scalar_t *  nodal_coords, const scalar_t &  coefficient, scalar_t *  shape_function_derivative_values  )

pure virtual

Evaluation of the shape function derivatives

Parameters

nodal_coords	The coordinates of the nodes
coefficient	The weighting function value in the Gauss integration
shape_function_derivative_values	The values returned for this particular point

Implemented in DICe::mesh::FEM_Barycentric_Tri6, DICe::mesh::FEM_Quadratic_Tri6, DICe::mesh::FEM_Linear_Tri3, DICe::mesh::FEM_Linear_Quad4, DICe::mesh::FEM_Linear_Hex8, DICe::mesh::CVFEM_Linear_Tet4, and DICe::mesh::CVFEM_Linear_Tri3.

evaluate_shape_functions() [1/2]

virtual void DICe::mesh::Shape_Function_Evaluator::evaluate_shape_functions ( const scalar_t *  natural_coords, scalar_t *  shape_function_values  )

pure virtual

Evaluation of the shape functions

Parameters

natural_coords	The coordinates of the point to evaluate the shape functinos
shape_function_values	The values returned for this particular point

Implemented in DICe::mesh::FEM_Barycentric_Tri6, DICe::mesh::FEM_Quadratic_Tri6, DICe::mesh::FEM_Linear_Tri3, DICe::mesh::FEM_Linear_Quad4, DICe::mesh::FEM_Linear_Hex8, DICe::mesh::CVFEM_Linear_Tet4, and DICe::mesh::CVFEM_Linear_Tri3.

evaluate_shape_functions() [2/2]

virtual void DICe::mesh::Shape_Function_Evaluator::evaluate_shape_functions ( const scalar_t *  nodal_coords, const scalar_t *  point_coords, const scalar_t &  coefficient, scalar_t *  shape_function_values  )

pure virtual

Evaluation of the shape functions

Parameters

nodal_coords	The coordinates of the nodes
point_coords	The coordinates of the point to evaluate the shape functinos
coefficient	The weighting function value in the Gauss integration
shape_function_values	The values returned for this particular point

Implemented in DICe::mesh::FEM_Barycentric_Tri6, DICe::mesh::FEM_Quadratic_Tri6, DICe::mesh::FEM_Linear_Tri3, DICe::mesh::FEM_Linear_Quad4, DICe::mesh::FEM_Linear_Hex8, DICe::mesh::CVFEM_Linear_Tet4, and DICe::mesh::CVFEM_Linear_Tri3.

get_natural_integration_points()

virtual void DICe::mesh::Shape_Function_Evaluator::get_natural_integration_points ( const int_t  order, Teuchos::ArrayRCP< Teuchos::ArrayRCP< scalar_t > > &  locations, Teuchos::ArrayRCP< scalar_t > &  weights, int_t &  num_points  )

pure virtual

Returns the integration points and weights in the natural coordinates (isoparametric, not physical)

Parameters

order	The gauss integration order
locations	The natural coordinates listed by point in row and dim in column
weights	The integration weights for each point
num_points	the number of integration points

Implemented in DICe::mesh::FEM_Barycentric_Tri6, DICe::mesh::FEM_Quadratic_Tri6, DICe::mesh::FEM_Linear_Tri3, DICe::mesh::FEM_Linear_Quad4, DICe::mesh::FEM_Linear_Hex8, DICe::mesh::CVFEM_Linear_Tet4, and DICe::mesh::CVFEM_Linear_Tri3.

is_in_element()

virtual bool DICe::mesh::Shape_Function_Evaluator::is_in_element ( const scalar_t *  nodal_coords, const scalar_t *  point_coords, const scalar_t &  coefficient  )

pure virtual

Determine if a given point is inside the element or external

Parameters

point_coords	The test point location
nodal_coords	The corrdinates of the nodes for this element
coefficient	The weighting function value

Implemented in DICe::mesh::FEM_Barycentric_Tri6, DICe::mesh::FEM_Quadratic_Tri6, DICe::mesh::FEM_Linear_Tri3, DICe::mesh::FEM_Linear_Quad4, DICe::mesh::FEM_Linear_Hex8, DICe::mesh::CVFEM_Linear_Tet4, and DICe::mesh::CVFEM_Linear_Tri3.

Member Data Documentation

num_functions_

const int_t DICe::mesh::Shape_Function_Evaluator::num_functions_

protected

Protect the default constructor.

Comparison operator Number of functions