#include <homo_lin_elasticity_elements.h>

Inheritance diagram for oomph::HomogenisedLinearElasticityEquations< DIM >:

Public Member Functions
	HomogenisedLinearElasticityEquations ()
	Constructor. More...

unsigned	required_nvalue (const unsigned &n) const
	Always have three displacement components. More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

virtual void	fill_in_generic_contribution_to_residuals_linear_elasticity (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	calculate_effective_modulus (DenseMatrix< double > &H)
	Compute contribution to the effective modulus. More...

void	output (std::ostream &outfile)
	Output: x,y,[z],xi0,xi1,[xi2],gamma. More...

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output: x,y,[z],xi0,xi1,[xi2],gamma. More...

void	output (FILE *file_pt)
	C-style output: x,y,[z],xi0,xi1,[xi2],gamma. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	Output: x,y,[z],xi0,xi1,[xi2],gamma. More...

Public Member Functions inherited from oomph::HomogenisedLinearElasticityEquationsBase
virtual unsigned	u_index_linear_elasticity (const unsigned i) const

void	interpolated_u_linear_elasticity (const Vector< double > &s, Vector< double > &disp) const
	Compute vector of FE interpolated displacement u at local coordinate s. More...

double	interpolated_u_linear_elasticity (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated displacement u[i] at local coordinate s. More...

	HomogenisedLinearElasticityEquationsBase ()

unsigned *&	p_pt ()
	Access function for the pointer to the p value. More...

unsigned	get_p ()
	Get the value of p. More...

unsigned *&	m_pt ()
	Access function for the pointer to the m value. More...

unsigned	get_m ()
	Get the value of m. More...

HomLinElasticityTensorFctPt &	elasticity_tensor_fct_pt ()
	Access function to set the function pointer for the elasticity tensor. More...

HomLinElasticityTensorFctPt	elasticity_tensor_fct_pt () const

void	get_E_pt (const Vector< double > &x, ElasticityTensor *&E_pt)

const double &	lambda_sq () const
	Access function for timescale ratio (nondim density) More...

double *&	lambda_sq_pt ()
	Access function for pointer to timescale ratio (nondim density) More...

bool &	unsteady ()
	Access function to flag that switches inertia on/off. More...

bool	unsteady () const
	Access function to flag that switches inertia on/off (const version) More...

virtual FaceElement *	make_face_element (const unsigned &s_fixed_index, const int &s_limit)

Public Member Functions inherited from oomph::FiniteElement
void	set_dimension (const unsigned &dim)

void	set_nodal_dimension (const unsigned &nodal_dim)

void	set_nnodal_position_type (const unsigned &nposition_type)
	Set the number of types required to interpolate the coordinate. More...

void	set_n_node (const unsigned &n)

int	nodal_local_eqn (const unsigned &n, const unsigned &i) const

double	dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const

	FiniteElement ()
	Constructor. More...

virtual	~FiniteElement ()

	FiniteElement (const FiniteElement &)=delete
	Broken copy constructor. More...

virtual bool	local_coord_is_valid (const Vector< double > &s)
	Broken assignment operator. More...

virtual void	move_local_coord_back_into_element (Vector< double > &s) const

void	get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const

virtual void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const

virtual void	local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)

virtual double	local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i)

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

MacroElement *	macro_elem_pt ()
	Access function to pointer to macro element. More...

void	get_x (const Vector< double > &s, Vector< double > &x) const

void	get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x)

virtual void	get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const

virtual void	get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x)

virtual void	set_integration_scheme (Integral *const &integral_pt)
	Set the spatial integration scheme. More...

Integral *const &	integral_pt () const
	Return the pointer to the integration scheme (const version) More...

virtual void	shape (const Vector< double > &s, Shape &psi) const =0

virtual void	shape_at_knot (const unsigned &ipt, Shape &psi) const

virtual void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const

virtual void	dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const

virtual void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

virtual void	d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const

virtual double	J_eulerian (const Vector< double > &s) const

virtual double	J_eulerian_at_knot (const unsigned &ipt) const

void	check_J_eulerian_at_knots (bool &passed) const

void	check_jacobian (const double &jacobian) const

double	dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const

virtual double	dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const

virtual double	dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const

double	d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const

virtual double	d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const

virtual void	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	describe_local_dofs (std::ostream &out, const std::string &current_string) const

virtual void	describe_nodal_local_dofs (std::ostream &out, const std::string &current_string) const

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

Node *&	node_pt (const unsigned &n)
	Return a pointer to the local node n. More...

Node *const &	node_pt (const unsigned &n) const
	Return a pointer to the local node n (const version) More...

unsigned	nnode () const
	Return the number of nodes. More...

virtual unsigned	nnode_1d () const

double	raw_nodal_position (const unsigned &n, const unsigned &i) const

double	raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const

double	raw_dnodal_position_dt (const unsigned &n, const unsigned &i) const

double	raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const

double	raw_nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const

double	raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const

double	raw_dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const

double	raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const

double	nodal_position (const unsigned &n, const unsigned &i) const

double	nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const

double	dnodal_position_dt (const unsigned &n, const unsigned &i) const
	Return the i-th component of nodal velocity: dx/dt at local node n. More...

double	dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const

double	nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const

double	nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const

double	dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const

double	dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

virtual void	disable_ALE ()

virtual void	enable_ALE ()

unsigned	nnodal_position_type () const

bool	has_hanging_nodes () const

unsigned	nodal_dimension () const
	Return the required Eulerian dimension of the nodes in this element. More...

virtual unsigned	nvertex_node () const

virtual Node *	vertex_node_pt (const unsigned &j) const

virtual Node *	construct_node (const unsigned &n)

virtual Node *	construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)

virtual Node *	construct_boundary_node (const unsigned &n)

virtual Node *	construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)

int	get_node_number (Node *const &node_pt) const

virtual Node *	get_node_at_local_coordinate (const Vector< double > &s) const

double	raw_nodal_value (const unsigned &n, const unsigned &i) const

double	raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const

double	nodal_value (const unsigned &n, const unsigned &i) const

double	nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const

unsigned	dim () const

virtual ElementGeometry::ElementGeometry	element_geometry () const
	Return the geometry type of the element (either Q or T usually). More...

virtual double	interpolated_x (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated coordinate x[i] at local coordinate s. More...

virtual double	interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const

virtual void	interpolated_x (const Vector< double > &s, Vector< double > &x) const
	Return FE interpolated position x[] at local coordinate s as Vector. More...

virtual void	interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const

virtual double	interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)

virtual void	interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)

unsigned	ngeom_data () const

Data *	geom_data_pt (const unsigned &j)

void	position (const Vector< double > &zeta, Vector< double > &r) const

void	position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const

void	dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt)

virtual double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const

void	interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const

void	locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)

virtual void	node_update ()

virtual void	identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data)

virtual void	identify_geometric_data (std::set< Data * > &geometric_data_pt)

virtual double	s_min () const
	Min value of local coordinate. More...

virtual double	s_max () const
	Max. value of local coordinate. More...

double	size () const

virtual double	compute_physical_size () const

virtual void	point_output_data (const Vector< double > &s, Vector< double > &data)

void	point_output (std::ostream &outfile, const Vector< double > &s)

virtual unsigned	nplot_points_paraview (const unsigned &nplot) const

virtual unsigned	nsub_elements_paraview (const unsigned &nplot) const

void	output_paraview (std::ofstream &file_out, const unsigned &nplot) const

virtual void	write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const

virtual void	write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const

virtual void	write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const

virtual unsigned	nscalar_paraview () const

virtual void	scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const

virtual void	scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const

virtual void	scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const

virtual std::string	scalar_name_paraview (const unsigned &i) const

virtual void	output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
	Output an exact solution over the element. More...

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
	Output a time-dependent exact solution over the element. More...

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const
	Output a time-dependent exact solution over the element. More...

virtual void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const

virtual std::string	tecplot_zone_string (const unsigned &nplot) const

virtual void	write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const

virtual void	write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const

virtual unsigned	nplot_points (const unsigned &nplot) const

virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Calculate the norm of the error and that of the exact solution. More...

virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Calculate the norm of the error and that of the exact solution. More...

virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)

virtual void	compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error)

void	integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral)
	Integrate Vector-valued function over element. More...

void	integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral)
	Integrate Vector-valued time-dep function over element. More...

virtual void	build_face_element (const int &face_index, FaceElement *face_element_pt)

virtual unsigned	self_test ()

virtual unsigned	get_bulk_node_number (const int &face_index, const unsigned &i) const

virtual int	face_outer_unit_normal_sign (const int &face_index) const
	Get the sign of the outer unit normal on the face given by face_index. More...

virtual unsigned	nnode_on_face () const

void	face_node_number_error_check (const unsigned &i) const
	Range check for face node numbers. More...

virtual CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

virtual BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

Public Member Functions inherited from oomph::GeneralisedElement
	GeneralisedElement ()
	Constructor: Initialise all pointers and all values to zero. More...

virtual	~GeneralisedElement ()
	Virtual destructor to clean up any memory allocated by the object. More...

	GeneralisedElement (const GeneralisedElement &)=delete
	Broken copy constructor. More...

void	operator= (const GeneralisedElement &)=delete
	Broken assignment operator. More...

Data *&	internal_data_pt (const unsigned &i)
	Return a pointer to i-th internal data object. More...

Data *const &	internal_data_pt (const unsigned &i) const
	Return a pointer to i-th internal data object (const version) More...

Data *&	external_data_pt (const unsigned &i)
	Return a pointer to i-th external data object. More...

Data *const &	external_data_pt (const unsigned &i) const
	Return a pointer to i-th external data object (const version) More...

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

unsigned	add_external_data (Data *const &data_pt, const bool &fd=true)

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

void	flush_external_data ()
	Flush all external data. More...

void	flush_external_data (Data *const &data_pt)
	Flush the object addressed by data_pt from the external data array. More...

unsigned	ninternal_data () const
	Return the number of internal data objects. More...

unsigned	nexternal_data () const
	Return the number of external data objects. More...

unsigned	ndof () const
	Return the number of equations/dofs in the element. More...

void	dof_vector (const unsigned &t, Vector< double > &dof)
	Return the vector of dof values at time level t. More...

void	dof_pt_vector (Vector< double * > &dof_pt)
	Return the vector of pointers to dof values. More...

void	set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)

void	assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt)

void	describe_dofs (std::ostream &out, const std::string &current_string) const

void	add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt)

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

virtual void	get_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)

virtual void	get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)

virtual void	get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)

virtual void	get_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)

virtual void	get_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)

virtual void	get_djacobian_and_dmass_matrix_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam)

virtual void	get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product)

virtual void	get_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product)

virtual void	get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector)

virtual void	compute_norm (Vector< double > &norm)

virtual void	compute_norm (double &norm)

virtual unsigned	ndof_types () const

virtual void	get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const

Public Member Functions inherited from oomph::GeomObject
	GeomObject ()
	Default constructor. More...

	GeomObject (const unsigned &ndim)

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim)

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt)

	GeomObject (const GeomObject &dummy)=delete
	Broken copy constructor. More...

void	operator= (const GeomObject &)=delete
	Broken assignment operator. More...

virtual	~GeomObject ()
	(Empty) destructor More...

unsigned	nlagrangian () const
	Access function to # of Lagrangian coordinates. More...

unsigned	ndim () const
	Access function to # of Eulerian coordinates. More...

void	set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim)
	Set # of Lagrangian and Eulerian coordinates. More...

TimeStepper *&	time_stepper_pt ()

TimeStepper *	time_stepper_pt () const

virtual void	position (const double &t, const Vector< double > &zeta, Vector< double > &r) const

virtual void	dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const

virtual void	d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const

virtual void	d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const

Additional Inherited Members
Public Types inherited from oomph::HomogenisedLinearElasticityEquationsBase
typedef void(*	HomLinElasticityTensorFctPt) (const Vector< double > &x, ElasticityTensor *&E_pt)
	Function pointer to a return a pointer to an elasticity tensor. More...

Public Types inherited from oomph::FiniteElement
typedef void(*	SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)

typedef void(*	UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)

Static Public Attributes inherited from oomph::FiniteElement
static double	Tolerance_for_singular_jacobian = 1.0e-16
	Tolerance below which the jacobian is considered singular. More...

static bool	Accept_negative_jacobian = false

static bool	Suppress_output_while_checking_for_inverted_elements

Static Public Attributes inherited from oomph::GeneralisedElement
static bool	Suppress_warning_about_repeated_internal_data

static bool	Suppress_warning_about_repeated_external_data = true

static double	Default_fd_jacobian_step = 1.0e-8

Protected Member Functions inherited from oomph::FiniteElement
virtual void	assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const

virtual void	assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const

virtual void	assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const

template<unsigned DIM>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

virtual double	invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

virtual double	local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

double	local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const

virtual double	local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

virtual void	dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<unsigned DIM>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

virtual void	d_dshape_eulerian_dnodal_coordinates (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<unsigned DIM>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

virtual void	transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const

void	transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const

virtual void	transform_second_derivatives (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<unsigned DIM>
void	transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<unsigned DIM>
void	transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

virtual void	fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	Zero-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	One-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	Two-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<>
void	transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<>
void	transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<>
void	transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

Protected Member Functions inherited from oomph::GeneralisedElement
unsigned	add_internal_data (Data *const &data_pt, const bool &fd=true)

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

void	add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt)

virtual void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	assign_additional_local_eqn_numbers ()

int	internal_local_eqn (const unsigned &i, const unsigned &j) const

int	external_local_eqn (const unsigned &i, const unsigned &j)

void	fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

virtual void	fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)

virtual void	fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)

virtual void	fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)

virtual void	fill_in_contribution_to_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)

virtual void	fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam)

virtual void	fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product)

virtual void	fill_in_contribution_to_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product)

virtual void	fill_in_contribution_to_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector)

Protected Attributes inherited from oomph::HomogenisedLinearElasticityEquationsBase
HomLinElasticityTensorFctPt	Elasticity_tensor_fct_pt
	Pointer to the elasticity tensor. More...

double *	Lambda_sq_pt
	Timescale ratio (non-dim. density) More...

unsigned *	P_pt
	Pointer to the index P in the cell problem. More...

unsigned *	M_pt
	Pointer to the index M in the cell problem. More...

bool	Unsteady
	Flag that switches inertia on/off. More...

Protected Attributes inherited from oomph::FiniteElement
MacroElement *	Macro_elem_pt
	Pointer to the element's macro element (NULL by default) More...

Protected Attributes inherited from oomph::GeomObject
unsigned	NLagrangian
	Number of Lagrangian (intrinsic) coordinates. More...

unsigned	Ndim
	Number of Eulerian coordinates. More...

TimeStepper *	Geom_object_time_stepper_pt

Static Protected Attributes inherited from oomph::HomogenisedLinearElasticityEquationsBase
static double	Default_lambda_sq_value =1.0
	Static default value for timescale ratio (1.0 – for natural scaling) More...

Static Protected Attributes inherited from oomph::FiniteElement
static const unsigned	Default_Initial_Nvalue = 0
	Default value for the number of values at a node. More...

static const double	Node_location_tolerance = 1.0e-14

static const unsigned	N2deriv [] = {0, 1, 3, 6}

Static Protected Attributes inherited from oomph::GeneralisedElement
static DenseMatrix< double >	Dummy_matrix

static std::deque< double * >	Dof_pt_deque

Detailed Description

template<unsigned DIM>
class oomph::HomogenisedLinearElasticityEquations< DIM >

A class for elements that solve the equations of solid mechanics, based on the principle of virtual displacements in cartesian coordinates.

Constructor & Destructor Documentation

◆ HomogenisedLinearElasticityEquations()

template<unsigned DIM>

oomph::HomogenisedLinearElasticityEquations< DIM >::HomogenisedLinearElasticityEquations ( )

inline

Constructor.

237 {}

Member Function Documentation

◆ calculate_effective_modulus()

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::calculate_effective_modulus ( DenseMatrix< double > & H )

Compute contribution to the effective modulus.

Compute the current contribution to the effective elasticity tensor.

  {
   //Find out how many nodes there are
   unsigned n_node = this->nnode();
   
   //Find out how many positional dofs there are
   unsigned n_position_type = this->nnodal_position_type();
   
   if(n_position_type != 1)
    {
     throw OomphLibError(
      "HomogenisedLinearElasticity is not yet implemented for more than one position type",
      OOMPH_CURRENT_FUNCTION,
      OOMPH_EXCEPTION_LOCATION);
    }
  
   //Create pointer for the elasticity tensor
   ElasticityTensor* E_pt;
   
   //Find the indices at which the local velocities are stored
   //Even in "2" dimensions, there are always three displacement components
   unsigned u_nodal_index[3];
   for(unsigned i=0;i<3;i++) 
    {u_nodal_index[i] = this->u_index_linear_elasticity(i);}
   
   //Set up memory for the shape functions
   Shape psi(n_node);
   DShape dpsidx(n_node,DIM);
   
   //Set the value of Nintpt -- the number of integration points
   unsigned n_intpt = this->integral_pt()->nweight();
   
   //Set the vector to hold the local coordinates in the element
   Vector<double> s(DIM);
  
   //Read out the values of p and m for the specific cell problem
   const unsigned p = this->get_p(); 
   const unsigned m = this->get_m();
  
   //Loop over the integration points
   for(unsigned ipt=0;ipt<n_intpt;ipt++)
    {
     //Assign the values of s
     for(unsigned i=0;i<DIM;++i) {s[i] = this->integral_pt()->knot(ipt,i);}
     
     //Get the integral weight
     double w = this->integral_pt()->weight(ipt);
     
     //Call the derivatives of the shape functions (and get Jacobian)
     double J = this->dshape_eulerian_at_knot(ipt,psi,dpsidx);
     
     //Storage for Eulerian coordinates (initialised to zero)
     Vector<double> interpolated_x(DIM,0.0);
  
     //Calculate interpolated values of the derivative of global position
     //wrt lagrangian coordinates
     DenseMatrix<double> interpolated_dudx(3,DIM,0.0);
     
     //Calculate displacements and derivatives and Eulerian coordinates
     for(unsigned l=0;l<n_node;l++)
      {
       //Loop over coordinates
       for(unsigned i=0;i<DIM;i++)
        {
         //Calculate the Lagrangian coordinates and the accelerations
         interpolated_x[i] += this->raw_nodal_position(l,i)*psi(l);
        }
      
       //Loop over displacement components (always 3)
       for(unsigned i=0;i<3;i++)
        {
         //Get the nodal displacements
         const double u_value = this->raw_nodal_value(l,u_nodal_index[i]);
         
         //Loop over derivative directions
         for(unsigned j=0;j<DIM;j++)
          {
           interpolated_dudx(i,j) += u_value*dpsidx(l,j);
          }
       }
      }
  
     //Premultiply the weights and the Jacobian
     double W = w*J; 
     
     //Get a pointer to  the elasticity tensor
     this->get_E_pt(interpolated_x,E_pt);
  
     //Loop over the three displacement components
     for(unsigned a=0;a<3;a++)
      {
       // Stress term (including all 3 terms here)
       for(unsigned b=0;b<3;b++)
        {
         for(unsigned c=0;c<3;c++)
          {
           for(unsigned d=0;d<DIM;d++)
            {
             //Add the stress terms to the residuals
             H(a,b) +=
              (*E_pt)(a,b,c,d)*interpolated_dudx(c,d)*W;
            }
          }
         //Add the additional term
         H(a,b) += (*E_pt)(a,b,p,m)*W;
        }
      } //End of loop over coordinate directions
     
    } //End of loop over integration points
  }

References a, b, calibrate::c, DIM, Global_Parameters::E_pt, H, i, J, j, m, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, p, s, w, and oomph::QuadTreeNames::W.

◆ fill_in_contribution_to_jacobian()

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_contribution_to_jacobian	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inlinevirtual

The jacobian is calculated by finite differences by default, We need only to take finite differences w.r.t. positional variables For this element

Reimplemented from oomph::GeneralisedElement.

     {
      //Add the contribution to the residuals
      this->fill_in_generic_contribution_to_residuals_linear_elasticity(
       residuals,jacobian,1);
     }

References oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_generic_contribution_to_residuals_linear_elasticity().

◆ fill_in_contribution_to_residuals()

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inlinevirtual

Return the residuals for the solid equations (the discretised principle of virtual displacements)

Reimplemented from oomph::GeneralisedElement.

     {
      fill_in_generic_contribution_to_residuals_linear_elasticity(
       residuals,GeneralisedElement::Dummy_matrix,0);
     }

References oomph::GeneralisedElement::Dummy_matrix, and oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_generic_contribution_to_residuals_linear_elasticity().

◆ fill_in_generic_contribution_to_residuals_linear_elasticity()

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_generic_contribution_to_residuals_linear_elasticity	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		unsigned	flag
	)

virtual

Return the generic contribuion to the residuals and (optionally) the jacobian matrix depending on the flag

/////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// Compute the residuals for the discretised principle of virtual displacements.

  {
   //Find out how many nodes there are
   unsigned n_node = this->nnode();
   
   //Find out how many positional dofs there are
   unsigned n_position_type = this->nnodal_position_type();
   
   if(n_position_type != 1)
    {
     throw OomphLibError(
      "HomogenisedLinearElasticity is not yet implemented for more than one position type",
      OOMPH_CURRENT_FUNCTION,
      OOMPH_EXCEPTION_LOCATION);
    }
  
   //Create pointer for the elasticity tensor
   ElasticityTensor* E_pt;
   
   //Find the indices at which the local velocities are stored
   //Even in "2" dimensions, there are always three displacement components
   unsigned u_nodal_index[3];
   for(unsigned i=0;i<3;i++) 
    {u_nodal_index[i] = this->u_index_linear_elasticity(i);}
   
   //Set up memory for the shape functions
   Shape psi(n_node);
   DShape dpsidx(n_node,DIM);
   
   //Set the value of Nintpt -- the number of integration points
   unsigned n_intpt = this->integral_pt()->nweight();
   
   //Set the vector to hold the local coordinates in the element
   Vector<double> s(DIM);
   
   //Integer to store the local equation number
   int local_eqn=0, local_unknown=0;
  
   //Read out the values of p and m for the specific cell problem
   const unsigned p = this->get_p(); 
   const unsigned m = this->get_m();
  
   //Loop over the integration points
   for(unsigned ipt=0;ipt<n_intpt;ipt++)
    {
     //Assign the values of s
     for(unsigned i=0;i<DIM;++i) {s[i] = this->integral_pt()->knot(ipt,i);}
     
     //Get the integral weight
     double w = this->integral_pt()->weight(ipt);
     
     //Call the derivatives of the shape functions (and get Jacobian)
     double J = this->dshape_eulerian_at_knot(ipt,psi,dpsidx);
     
     //Storage for Eulerian coordinates (initialised to zero)
     Vector<double> interpolated_x(DIM,0.0);
  
     //Calculate interpolated values of the derivative of global position
     //wrt lagrangian coordinates
     DenseMatrix<double> interpolated_dudx(3,DIM,0.0);
     
     //Calculate displacements and derivatives and Eulerian coordinates
     for(unsigned l=0;l<n_node;l++)
      {
       //Loop over coordinates
       for(unsigned i=0;i<DIM;i++)
        {
         //Calculate the Lagrangian coordinates and the accelerations
         interpolated_x[i] += this->raw_nodal_position(l,i)*psi(l);
        }
      
       //Loop over displacement components (always 3)
       for(unsigned i=0;i<3;i++)
        {
         //Get the nodal displacements
         const double u_value = this->raw_nodal_value(l,u_nodal_index[i]);
         
         //Loop over derivative directions
         for(unsigned j=0;j<DIM;j++)
          {
           interpolated_dudx(i,j) += u_value*dpsidx(l,j);
          }
       }
      }
  
     //Premultiply the weights and the Jacobian
     double W = w*J; 
     
     //Get a pointer to  the elasticity tensor
     this->get_E_pt(interpolated_x,E_pt);
     
 //=====EQUATIONS OF ELASTICITY FROM PRINCIPLE OF VIRTUAL DISPLACEMENTS========
     
     //Loop over the test functions, nodes of the element
     for(unsigned l=0;l<n_node;l++)
      {
       //Loop over the three displacement components
       for(unsigned a=0;a<3;a++)
        {
         //Get the equation number
         local_eqn = this->nodal_local_eqn(l,u_nodal_index[a]);
         /*IF it's not a boundary condition*/
         if(local_eqn >= 0)
          {
           // Stress term
           for(unsigned b=0;b<DIM;b++)
            {
             for(unsigned c=0;c<3;c++)
              {
               for(unsigned d=0;d<DIM;d++)
                {
                 //Add the stress terms to the residuals
                 residuals[local_eqn] +=
                  (*E_pt)(a,b,c,d)*interpolated_dudx(c,d)*dpsidx(l,b)*W;
                }
              }
             //Add the additional term
             residuals[local_eqn] += (*E_pt)(a,b,p,m)*dpsidx(l,b)*W;
            }
           
           //Jacobian entries
           if(flag)
            {
             //Loop over the displacement basis functions again
             for(unsigned l2=0;l2<n_node;l2++)
              {
               //Loop over the displacement components again
               for(unsigned c2=0;c2<3;c2++)
                {
                 local_unknown = this->nodal_local_eqn(l2,u_nodal_index[c2]);
                 //If it's not pinned
                 if(local_unknown >= 0)
                  {
                   for(unsigned b=0;b<DIM;b++)
                    {
                     for(unsigned d=0;d<DIM;d++)
                      {
                       //Add the contribution to the Jacobian matrix
                       jacobian(local_eqn,local_unknown) +=
                        (*E_pt)(a,b,c2,d)*dpsidx(l2,d)*dpsidx(l,b)*W;
                      }
                    }
                  } //End of if not boundary condition
                 
                }
              }
            } //End of jacobian calculation
           
          } //End of if not boundary condition
        } //End of loop over coordinate directions
       
      } //End of loop over shape functions
    } //End of loop over integration points
    
  }

References a, b, calibrate::c, DIM, Global_Parameters::E_pt, i, J, j, m, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, p, s, w, and oomph::QuadTreeNames::W.

Referenced by oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_contribution_to_jacobian(), and oomph::HomogenisedLinearElasticityEquations< DIM >::fill_in_contribution_to_residuals().

◆ output() [1/4]

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::output ( FILE * file_pt )

inlinevirtual

C-style output: x,y,[z],xi0,xi1,[xi2],gamma.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::THomogenisedLinearElasticityElement< DIM, NNODE_1D >.

     {
      unsigned n_plot=5;
      output(file_pt,n_plot);
     }

References oomph::HomogenisedLinearElasticityEquations< DIM >::output().

◆ output() [2/4]

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

virtual

Output: x,y,[z],xi0,xi1,[xi2],gamma.

C-style output: x,y,[z],xi0,xi1,[xi2],gamma.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::THomogenisedLinearElasticityElement< DIM, NNODE_1D >.

  {
   //Set output Vector
   Vector<double> s(DIM);
   Vector<double> x(DIM);
   Vector<double> u(3);
   
   //Tecplot header info 
   fprintf(file_pt,"%s",tecplot_zone_string(n_plot).c_str());
   
   // Loop over plot points
   unsigned num_plot_points=nplot_points(n_plot);
   for (unsigned iplot=0;iplot<num_plot_points;iplot++)
    {
     // Get local coordinates of plot point
     get_s_plot(iplot,n_plot,s);
  
     // Get Eulerian and Lagrangian coordinates
     this->interpolated_x(s,x);
     this->interpolated_u_linear_elasticity(s,u);
     
     //Output the x,y,..
     for(unsigned i=0;i<DIM;i++) 
      {
       fprintf(file_pt,"%g ",x[i]);
      }
     // Output xi0,xi1,..
     for(unsigned i=0;i<3;i++) 
      {
       //outfile << xi[i] << " ";
       fprintf(file_pt,"%g ",u[i]);
      } 
    }
   
   // Write tecplot footer (e.g. FE connectivity lists)
   write_tecplot_zone_footer(file_pt,n_plot);
  }

References DIM, i, s, and plotDoE::x.

◆ output() [3/4]

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::output ( std::ostream & outfile )

inlinevirtual

Output: x,y,[z],xi0,xi1,[xi2],gamma.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::THomogenisedLinearElasticityElement< DIM, NNODE_1D >.

     {
      unsigned n_plot=5;
      output(outfile,n_plot);
     }

Referenced by oomph::HomogenisedLinearElasticityEquations< DIM >::output(), and oomph::THomogenisedLinearElasticityElement< DIM, NNODE_1D >::output().

◆ output() [4/4]

template<unsigned DIM>

void oomph::HomogenisedLinearElasticityEquations< DIM >::output	(	std::ostream &	outfile,
		const unsigned &	n_plot
	)

virtual

Output: x,y,[z],xi0,xi1,[xi2],gamma.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::THomogenisedLinearElasticityElement< DIM, NNODE_1D >.

  {
   //Set output Vector
   Vector<double> s(DIM);
   Vector<double> x(DIM);
   Vector<double> u(3);
   
   //Tecplot header info 
   outfile << tecplot_zone_string(n_plot);
   
   // Loop over plot points
   unsigned num_plot_points=nplot_points(n_plot);
   for (unsigned iplot=0;iplot<num_plot_points;iplot++)
    {
     // Get local coordinates of plot point
     get_s_plot(iplot,n_plot,s);
     
     // Get Eulerian and Lagrangian coordinates
     this->interpolated_x(s,x);
     this->interpolated_u_linear_elasticity(s,u);
      
     //Output the x,y,..
     for(unsigned i=0;i<DIM;i++) 
      {outfile << x[i] << " ";}
     // Output xi0,xi1,..
     for(unsigned i=0;i<3;i++) 
      {outfile << u[i] << " ";} 
     outfile << std::endl;
    }
   
   //Write tecplot footer
   write_tecplot_zone_footer(outfile,n_plot);
  }

References DIM, i, s, and plotDoE::x.

◆ required_nvalue()

template<unsigned DIM>

unsigned oomph::HomogenisedLinearElasticityEquations< DIM >::required_nvalue ( const unsigned & n ) const

inlinevirtual

Always have three displacement components.

Reimplemented from oomph::FiniteElement.

240 {return 3;}

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

Public Member Functions

Additional Inherited Members

Detailed Description

template<unsigned DIM> class oomph::HomogenisedLinearElasticityEquations< DIM >

Constructor & Destructor Documentation

◆ HomogenisedLinearElasticityEquations()

Member Function Documentation

◆ calculate_effective_modulus()

◆ fill_in_contribution_to_jacobian()

◆ fill_in_contribution_to_residuals()

◆ fill_in_generic_contribution_to_residuals_linear_elasticity()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ required_nvalue()

template<unsigned DIM>
class oomph::HomogenisedLinearElasticityEquations< DIM >