#include <structural_element_2d.h>

Inheritance diagram for MAST::StructuralElement2D:

Collaboration diagram for MAST::StructuralElement2D:

[legend]

Public Member Functions
	StructuralElement2D (MAST::SystemInitialization &sys, MAST::AssemblyBase &assembly, const MAST::GeomElem &elem, const MAST::ElementPropertyCardBase &p)

virtual	~StructuralElement2D ()

virtual unsigned int	n_direct_strain_components ()
	row dimension of the direct strain matrix, also used for the bending operator row dimension More...

virtual unsigned int	n_von_karman_strain_components ()
	row dimension of the von Karman strain matrix More...

virtual bool	internal_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	Calculates the internal residual vector and Jacobian due to strain energy. More...

virtual bool	internal_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	Calculates the sensitivity internal residual vector and Jacobian due to strain energy. More...

virtual bool	internal_residual_jac_dot_state_sensitivity (RealMatrixX &jac)
	calculates d[J]/d{x} . More...

virtual void	internal_residual_boundary_velocity (const MAST::FunctionBase &p, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	calculates the term on side `s:` $\int_\Gamma a(\delta u, u) v_n ~d\Gamma$ . More...

virtual bool	prestress_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	Calculates the internal residual vector and Jacobian due to strain energy coming from a prestress. More...

virtual bool	prestress_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	Calculates the internal residual vector and Jacobian due to strain energy coming from a prestress. More...

virtual bool	if_incompatible_modes () const

virtual bool	calculate_stress (bool request_derivative, const MAST::FunctionBase *p, MAST::StressStrainOutputBase &output)
	Calculates the stress tensor. More...

virtual void	calculate_stress_boundary_velocity (const MAST::FunctionBase &p, MAST::StressStrainOutputBase &output, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f)
	Calculates the boundary velocity term contributions to the sensitivity of stress at the specified boundary of this element. More...

virtual void	calculate_stress_temperature_derivative (MAST::FEBase &fe_thermal, MAST::StressStrainOutputBase &output)

virtual void	thermal_residual_temperature_derivative (const MAST::FEBase &fe_thermal, RealMatrixX &m)

Public Member Functions inherited from MAST::BendingStructuralElem
	BendingStructuralElem (MAST::SystemInitialization &sys, MAST::AssemblyBase &assembly, const MAST::GeomElem &elem, const MAST::ElementPropertyCardBase &p)

virtual	~BendingStructuralElem ()
	destructor More...

Public Member Functions inherited from MAST::StructuralElementBase
	StructuralElementBase (MAST::SystemInitialization &sys, MAST::AssemblyBase &assembly, const MAST::GeomElem &elem, const MAST::ElementPropertyCardBase &p)
	Constructor. More...

virtual	~StructuralElementBase ()

virtual void	set_solution (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as solution for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_perturbed_solution (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed solution for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_velocity (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as velocity for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_perturbed_velocity (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed velocity for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_acceleration (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as acceleration for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_perturbed_acceleration (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed acceleration for element level calculations, or its sensitivity if `if_sens` is true. More...

const RealVectorX &	local_solution (bool if_sens=false) const

const MAST::ElementPropertyCardBase &	elem_property ()
	returns a constant reference to the finite element object More...

virtual bool	linearized_internal_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	internal force contribution to system residual of the linearized problem More...

virtual bool	damping_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac)
	damping force contribution to system residual More...

virtual bool	inertial_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xddot, RealMatrixX &jac_xdot, RealMatrixX &jac)
	inertial force contribution to system residual More...

virtual bool	linearized_inertial_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xddot, RealMatrixX &jac_xdot, RealMatrixX &jac)
	inertial force contribution to system residual of linerized problem More...

bool	side_external_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase * > &bc)
	side external force contribution to system residual. More...

bool	linearized_side_external_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase * > &bc)
	side external force contribution to system residual. More...

bool	linearized_frequency_domain_side_external_residual (bool request_jacobian, ComplexVectorX &f, ComplexMatrixX &jac, std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase * > &bc)
	Calculates the external force due to frequency domain side external force contribution to system residual. More...

bool	volume_external_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase * > &bc)
	volume external force contribution to system residual. More...

void	volume_external_residual_boundary_velocity (const MAST::FunctionBase &p, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase * > &bc, bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	boundary velocity contribution of volume external force. More...

bool	linearized_volume_external_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase * > &bc)
	volume external force contribution to system residual. More...

bool	linearized_frequency_domain_volume_external_residual (bool request_jacobian, ComplexVectorX &f, ComplexMatrixX &jac, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase * > &bc)
	Calculates the frequency domain volume external force contribution to system residual. More...

virtual bool	damping_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac)
	sensitivity of the damping force contribution to system residual More...

virtual bool	inertial_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xddot, RealMatrixX &jac_xdot, RealMatrixX &jac)
	sensitivity of the inertial force contribution to system residual More...

virtual void	inertial_residual_boundary_velocity (const MAST::FunctionBase &p, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xddot, RealMatrixX &jac_xdot, RealMatrixX &jac)
	sensitivity of the inertial force contribution to system residual More...

bool	side_external_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase * > &bc)
	sensitivity of the side external force contribution to system residual More...

bool	volume_external_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase * > &bc)
	sensitivity of the volume external force contribution to system residual More...

virtual unsigned int	incompatible_mode_size () const

void	set_incompatible_mode_solution (RealVectorX &vec)
	sets the pointer to the incompatible mode solution vector. More...

virtual void	update_incompatible_mode_solution (const RealVectorX &dsol)
	updates the incompatible solution for this element. More...

template<typename ValType >
void	transform_matrix_to_global_system (const ValType &local_mat, ValType &global_mat) const

template<typename ValType >
void	transform_vector_to_local_system (const ValType &global_vec, ValType &local_vec) const

template<typename ValType >
void	transform_vector_to_global_system (const ValType &local_vec, ValType &global_vec) const

Public Member Functions inherited from MAST::ElementBase
	ElementBase (MAST::SystemInitialization &sys, MAST::AssemblyBase &assembly, const MAST::GeomElem &elem)
	The default constructor. More...

virtual	~ElementBase ()
	Default virtual destructor. More...

MAST::SystemInitialization &	system_initialization ()

MAST::AssemblyBase &	assembly ()

MAST::NonlinearSystem &	system ()

const MAST::GeomElem &	elem () const

const RealVectorX &	sol (bool if_sens=false) const

virtual void	set_complex_solution (const ComplexVectorX &vec, bool if_sens=false)
	This provides the complex solution (or its sensitivity if `if_sens` is true.) for frequecy-domain analysis. More...

void	attach_active_solution_function (MAST::FunctionBase &f)
	Attaches the function that represents the system solution. More...

void	detach_active_solution_function ()
	Detaches the function object that may have been attached to the element. More...

Protected Member Functions
bool	surface_pressure_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to surface pressure. More...

virtual bool	surface_pressure_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to surface pressure. More...

virtual bool	thermal_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to thermal stresses. More...

virtual bool	thermal_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of residual vector and the Jacobian due to thermal stresses. More...

virtual void	thermal_residual_boundary_velocity (const MAST::FunctionBase &p, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, MAST::BoundaryConditionBase &bc, bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	calculates the term on side `s:` $\int_\Gamma a(\delta u, u) v_n ~d\Gamma$ . More...

virtual bool	piston_theory_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to piston-theory based surface pressure on the entire element domain. More...

virtual bool	piston_theory_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of force vector and Jacobian due to piston-theory based surface pressure on the entire element domain. More...

virtual bool	piston_theory_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to piston-theory based surface pressure on the side identified by `side`. More...

virtual bool	piston_theory_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to piston-theory based surface pressure on the side identified by `side`. More...

virtual bool	linearized_frequency_domain_surface_pressure_residual (bool request_jacobian, ComplexVectorX &f, ComplexMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to small perturbation surface pressure. More...

virtual bool	linearized_frequency_domain_surface_pressure_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, ComplexVectorX &f, ComplexMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of force vector and Jacobian due to small is applicable for perturbation surface pressure. More...

virtual void	initialize_von_karman_strain_operator (const unsigned int qp, const MAST::FEBase &fe, RealVectorX &vk_strain, RealMatrixX &vk_dwdxi_mat, MAST::FEMOperatorMatrix &Bmat_vk)
	initialze the von Karman strain in `vK_strain`, the operator matrices needed for Jacobian calculation. More...

virtual void	initialize_von_karman_strain_operator_sensitivity (const unsigned int qp, const MAST::FEBase &fe, RealMatrixX &vk_dwdxi_mat_sens)
	initialze the sensitivity of von Karman operator matrices needed for Jacobian calculation. More...

virtual void	initialize_green_lagrange_strain_operator (const unsigned int qp, const MAST::FEBase &fe, const RealVectorX &local_disp, RealVectorX &epsilon, RealMatrixX &mat_x, RealMatrixX &mat_y, MAST::FEMOperatorMatrix &Bmat_lin, MAST::FEMOperatorMatrix &Bmat_nl_x, MAST::FEMOperatorMatrix &Bmat_nl_y, MAST::FEMOperatorMatrix &Bmat_nl_u, MAST::FEMOperatorMatrix &Bmat_nl_v)

virtual void	_internal_residual_operation (bool if_vk, const unsigned int n2, const unsigned int qp, const MAST::FEBase &fe, const std::vector< Real > &JxW, bool request_jacobian, RealVectorX &local_f, RealMatrixX &local_jac, RealVectorX &local_disp, RealVectorX &strain_mem, MAST::BendingOperator2D *bend, FEMOperatorMatrix &Bmat_lin, FEMOperatorMatrix &Bmat_nl_x, FEMOperatorMatrix &Bmat_nl_y, FEMOperatorMatrix &Bmat_nl_u, FEMOperatorMatrix &Bmat_nl_v, MAST::FEMOperatorMatrix &Bmat_bend, MAST::FEMOperatorMatrix &Bmat_vk, RealMatrixX &mat_x, RealMatrixX &mat_y, RealMatrixX &stress, RealMatrixX &vk_dwdxi_mat, RealMatrixX &material_A_mat, RealMatrixX &material_B_mat, RealMatrixX &material_D_mat, RealVectorX &vec1_n1, RealVectorX &vec2_n1, RealVectorX &vec3_n2, RealVectorX &vec4_2, RealVectorX &vec5_2, RealVectorX &vec6_n2, RealMatrixX &mat1_n1n2, RealMatrixX &mat2_n2n2, RealMatrixX &mat3, RealMatrixX &mat4_2n2, RealMatrixX &mat5_3n2)
	performs integration at the quadrature point for the provided matrices. More...

void	_convert_prestress_A_mat_to_vector (const RealMatrixX &mat, RealVectorX &vec) const
	converts the prestress stress tensor to a vector representation More...

void	_convert_prestress_B_mat_to_vector (const RealMatrixX &mat, RealVectorX &vec) const
	converts the prestress stress tensor to a vector representation More...

Protected Member Functions inherited from MAST::StructuralElementBase
virtual bool	surface_pressure_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to surface pressure applied on the entire element domain. More...

virtual void	surface_pressure_boundary_velocity (const MAST::FunctionBase &p, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, MAST::BoundaryConditionBase &bc, bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	Calculates the force vector and Jacobian due to surface pressure applied on the entire element domain. More...

virtual bool	linearized_surface_pressure_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to surface pressure applied on the entire element domain. More...

Real	piston_theory_cp (const unsigned int order, const Real vel_U, const Real gamma, const Real mach)

Real	piston_theory_dcp_dv (const unsigned int order, const Real vel_U, const Real gamma, const Real mach)

virtual bool	linearized_frequency_domain_surface_pressure_residual (bool request_jacobian, ComplexVectorX &f, ComplexMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to surface pressure applied on the entire element domain. More...

virtual bool	linearized_frequency_domain_surface_pressure_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, ComplexVectorX &f, ComplexMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of force vector and Jacobian due to surface pressure applied on the entire element domain. More...

virtual bool	surface_pressure_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the force vector and Jacobian due to surface pressure. More...

Additional Inherited Members
Public Attributes inherited from MAST::StructuralElementBase
bool	follower_forces
	flag for follower forces More...

Protected Attributes inherited from MAST::StructuralElementBase
const MAST::ElementPropertyCardBase &	_property
	element property More...

RealVectorX	_local_sol
	local solution More...

RealVectorX	_local_delta_sol
	local perturbed solution More...

RealVectorX	_local_sol_sens
	local solution sensitivity More...

RealVectorX	_local_delta_sol_sens
	local perturbed solution sensitivity More...

RealVectorX	_local_vel
	local velocity More...

RealVectorX	_local_delta_vel
	local perturbed velocity More...

RealVectorX	_local_vel_sens
	local velocity sensitivity More...

RealVectorX	_local_delta_vel_sens
	local perturbed velocity sensitivity More...

RealVectorX	_local_accel
	local acceleration More...

RealVectorX	_local_delta_accel
	local perturbed acceleration More...

RealVectorX	_local_accel_sens
	local acceleration sensitivity More...

RealVectorX	_local_delta_accel_sens
	local perturbed acceleration sensitivity More...

RealVectorX *	_incompatible_sol
	incompatible mode solution vector More...

Protected Attributes inherited from MAST::ElementBase
MAST::SystemInitialization &	_system
	SystemInitialization object associated with this element. More...

MAST::AssemblyBase &	_assembly
	Assembly object. More...

const MAST::GeomElem &	_elem
	geometric element for which the computations are performed More...

MAST::FunctionBase *	_active_sol_function
	pointer to the active solution mesh field function. More...

const Real &	_time
	time for which system is being assembled More...

RealVectorX	_sol
	local solution More...

RealVectorX	_sol_sens
	local solution sensitivity More...

ComplexVectorX	_complex_sol
	local solution used for frequency domain analysis More...

ComplexVectorX	_complex_sol_sens
	local solution used for frequency domain analysis More...

RealVectorX	_delta_sol
	local solution used for linearized analysis More...

RealVectorX	_delta_sol_sens
	local solution used for linearized analysis More...

RealVectorX	_vel
	local velocity More...

RealVectorX	_vel_sens
	local velocity More...

RealVectorX	_delta_vel
	local velocity More...

RealVectorX	_delta_vel_sens
	local velocity More...

RealVectorX	_accel
	local acceleration More...

RealVectorX	_accel_sens
	local acceleration More...

RealVectorX	_delta_accel
	local acceleration More...

RealVectorX	_delta_accel_sens
	local acceleration More...

Detailed Description

Definition at line 42 of file structural_element_2d.h.

Constructor & Destructor Documentation

MAST::StructuralElement2D::StructuralElement2D	(	MAST::SystemInitialization &	sys,
		MAST::AssemblyBase &	assembly,
		const MAST::GeomElem &	elem,
		const MAST::ElementPropertyCardBase &	p
	)

Definition at line 38 of file structural_element_2d.cpp.

MAST::StructuralElement2D::~StructuralElement2D ( )

virtual

Definition at line 48 of file structural_element_2d.cpp.

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Member Function Documentation

void MAST::StructuralElement2D::_convert_prestress_A_mat_to_vector	(	const RealMatrixX &	mat,
		RealVectorX &	vec
	)		const

protected

converts the prestress stress tensor to a vector representation

Definition at line 1951 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::_convert_prestress_B_mat_to_vector	(	const RealMatrixX &	mat,
		RealVectorX &	vec
	)		const

protected

converts the prestress stress tensor to a vector representation

Definition at line 1965 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::_internal_residual_operation	(	bool	if_vk,
		const unsigned int	n2,
		const unsigned int	qp,
		const MAST::FEBase &	fe,
		const std::vector< Real > &	JxW,
		bool	request_jacobian,
		RealVectorX &	local_f,
		RealMatrixX &	local_jac,
		RealVectorX &	local_disp,
		RealVectorX &	strain_mem,
		MAST::BendingOperator2D *	bend,
		FEMOperatorMatrix &	Bmat_lin,
		FEMOperatorMatrix &	Bmat_nl_x,
		FEMOperatorMatrix &	Bmat_nl_y,
		FEMOperatorMatrix &	Bmat_nl_u,
		FEMOperatorMatrix &	Bmat_nl_v,
		MAST::FEMOperatorMatrix &	Bmat_bend,
		MAST::FEMOperatorMatrix &	Bmat_vk,
		RealMatrixX &	mat_x,
		RealMatrixX &	mat_y,
		RealMatrixX &	stress,
		RealMatrixX &	vk_dwdxi_mat,
		RealMatrixX &	material_A_mat,
		RealMatrixX &	material_B_mat,
		RealMatrixX &	material_D_mat,
		RealVectorX &	vec1_n1,
		RealVectorX &	vec2_n1,
		RealVectorX &	vec3_n2,
		RealVectorX &	vec4_2,
		RealVectorX &	vec5_2,
		RealVectorX &	vec6_n2,
		RealMatrixX &	mat1_n1n2,
		RealMatrixX &	mat2_n2n2,
		RealMatrixX &	mat3,
		RealMatrixX &	mat4_2n2,
		RealMatrixX &	mat5_3n2
	)

protectedvirtual

performs integration at the quadrature point for the provided matrices.

The temperature vector and matrix entities are provided for integration

Definition at line 1693 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::calculate_stress	(	bool	request_derivative,
		const MAST::FunctionBase *	p,
		MAST::StressStrainOutputBase &	output
	)

virtual

Calculates the stress tensor.

Implements MAST::StructuralElementBase.

Definition at line 253 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::calculate_stress_boundary_velocity	(	const MAST::FunctionBase &	p,
		MAST::StressStrainOutputBase &	output,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f
	)

virtual

Calculates the boundary velocity term contributions to the sensitivity of stress at the specified boundary of this element.

Implements MAST::StructuralElementBase.

Definition at line 642 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::calculate_stress_temperature_derivative	(	MAST::FEBase &	fe_thermal,
		MAST::StressStrainOutputBase &	output
	)

virtual

Implements MAST::StructuralElementBase.

Definition at line 884 of file structural_element_2d.cpp.

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virtual bool MAST::StructuralElement2D::if_incompatible_modes ( ) const

inlinevirtual

Returns: false since this element formulation does not use incompatible modes

Implements MAST::StructuralElementBase.

Definition at line 124 of file structural_element_2d.h.

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void MAST::StructuralElement2D::initialize_green_lagrange_strain_operator	(	const unsigned int	qp,
		const MAST::FEBase &	fe,
		const RealVectorX &	local_disp,
		RealVectorX &	epsilon,
		RealMatrixX &	mat_x,
		RealMatrixX &	mat_y,
		MAST::FEMOperatorMatrix &	Bmat_lin,
		MAST::FEMOperatorMatrix &	Bmat_nl_x,
		MAST::FEMOperatorMatrix &	Bmat_nl_y,
		MAST::FEMOperatorMatrix &	Bmat_nl_u,
		MAST::FEMOperatorMatrix &	Bmat_nl_v
	)

protectedvirtual

Definition at line 143 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::initialize_von_karman_strain_operator	(	const unsigned int	qp,
		const MAST::FEBase &	fe,
		RealVectorX &	vk_strain,
		RealMatrixX &	vk_dwdxi_mat,
		MAST::FEMOperatorMatrix &	Bmat_vk
	)

protectedvirtual

initialze the von Karman strain in vK_strain, the operator matrices needed for Jacobian calculation.

vk_strain = [dw/dx 0; 0 dw/dy; dw/dy dw/dx] Bmat_vk = [dw/dx; dw/dy]

Definition at line 57 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::initialize_von_karman_strain_operator_sensitivity	(	const unsigned int	qp,
		const MAST::FEBase &	fe,
		RealMatrixX &	vk_dwdxi_mat_sens
	)

protectedvirtual

initialze the sensitivity of von Karman operator matrices needed for Jacobian calculation.

vk_dwdxi_mat_sens = [dw/dx 0; 0 dw/dy; dw/dy dw/dx]

Definition at line 107 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::internal_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

virtual

Calculates the internal residual vector and Jacobian due to strain energy.

Implements MAST::StructuralElementBase.

Definition at line 1002 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::internal_residual_boundary_velocity	(	const MAST::FunctionBase &	p,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

virtual

calculates the term on side s: $\int_\Gamma a(\delta u, u) v_n ~d\Gamma$ .

Implements MAST::StructuralElementBase.

Definition at line 1329 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::internal_residual_jac_dot_state_sensitivity ( RealMatrixX & jac )

virtual

calculates d[J]/d{x} .

d{x}/dp

Implements MAST::StructuralElementBase.

Definition at line 1498 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::internal_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

virtual

Calculates the sensitivity internal residual vector and Jacobian due to strain energy.

Implements MAST::StructuralElementBase.

Definition at line 1160 of file structural_element_2d.cpp.

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virtual bool MAST::StructuralElement2D::linearized_frequency_domain_surface_pressure_residual	(	bool	request_jacobian,
		ComplexVectorX &	f,
		ComplexMatrixX &	jac,
		const unsigned int	side,
		MAST::BoundaryConditionBase &	bc
	)

inlineprotectedvirtual

Calculates the force vector and Jacobian due to small perturbation surface pressure.

Implements MAST::StructuralElementBase.

Definition at line 274 of file structural_element_2d.h.

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virtual bool MAST::StructuralElement2D::linearized_frequency_domain_surface_pressure_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		ComplexVectorX &	f,
		ComplexMatrixX &	jac,
		const unsigned int	side,
		MAST::BoundaryConditionBase &	bc
	)

inlineprotectedvirtual

Calculates the sensitivity of force vector and Jacobian due to small is applicable for perturbation surface pressure.

Implements MAST::StructuralElementBase.

Definition at line 291 of file structural_element_2d.h.

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virtual unsigned int MAST::StructuralElement2D::n_direct_strain_components ( )

inlinevirtual

row dimension of the direct strain matrix, also used for the bending operator row dimension

Implements MAST::BendingStructuralElem.

Definition at line 57 of file structural_element_2d.h.

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virtual unsigned int MAST::StructuralElement2D::n_von_karman_strain_components ( )

inlinevirtual

row dimension of the von Karman strain matrix

Implements MAST::BendingStructuralElem.

Definition at line 64 of file structural_element_2d.h.

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bool MAST::StructuralElement2D::piston_theory_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac_xdot,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the force vector and Jacobian due to piston-theory based surface pressure on the entire element domain.

This is applicable for only 1D and 2D elements. The order of the boundary condition and direction of fluid flow are obtained from the BoundaryConditionBase object.

Implements MAST::StructuralElementBase.

Definition at line 3244 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::piston_theory_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac_xdot,
		RealMatrixX &	jac,
		const unsigned int	side,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the force vector and Jacobian due to piston-theory based surface pressure on the side identified by side.

The order of the boundary condition and direction of fluid flow are obtained from the BoundaryConditionBase object.

Implements MAST::StructuralElementBase.

Definition at line 3208 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::piston_theory_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac_xdot,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the sensitivity of force vector and Jacobian due to piston-theory based surface pressure on the entire element domain.

This is applicable for only 1D and 2D elements. The order of the boundary condition and direction of fluid flow are obtained from the BoundaryConditionBase object.

Implements MAST::StructuralElementBase.

Definition at line 3422 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::piston_theory_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac_xdot,
		RealMatrixX &	jac,
		const unsigned int	side,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the force vector and Jacobian due to piston-theory based surface pressure on the side identified by side.

The order of the boundary condition and direction of fluid flow are obtained from the BoundaryConditionBase object.

Implements MAST::StructuralElementBase.

Definition at line 3225 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::prestress_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

virtual

Calculates the internal residual vector and Jacobian due to strain energy coming from a prestress.

Implements MAST::StructuralElementBase.

Definition at line 1980 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::prestress_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

virtual

Calculates the internal residual vector and Jacobian due to strain energy coming from a prestress.

Implements MAST::StructuralElementBase.

Definition at line 2131 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::surface_pressure_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		const unsigned int	side,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the force vector and Jacobian due to surface pressure.

Implements MAST::StructuralElementBase.

Definition at line 2284 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::surface_pressure_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		const unsigned int	side,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the force vector and Jacobian due to surface pressure.

Implements MAST::StructuralElementBase.

Definition at line 2359 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::thermal_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to thermal stresses.

Implements MAST::StructuralElementBase.

Definition at line 2439 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::thermal_residual_boundary_velocity	(	const MAST::FunctionBase &	p,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		MAST::BoundaryConditionBase &	bc,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

protectedvirtual

calculates the term on side s: $\int_\Gamma a(\delta u, u) v_n ~d\Gamma$ .

Implements MAST::StructuralElementBase.

Definition at line 2847 of file structural_element_2d.cpp.

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bool MAST::StructuralElement2D::thermal_residual_sensitivity	(	const MAST::FunctionBase &	p,
		bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the sensitivity of residual vector and the Jacobian due to thermal stresses.

Implements MAST::StructuralElementBase.

Definition at line 2635 of file structural_element_2d.cpp.

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void MAST::StructuralElement2D::thermal_residual_temperature_derivative	(	const MAST::FEBase &	fe_thermal,
		RealMatrixX &	m
	)

virtual

Implements MAST::StructuralElementBase.

Definition at line 3051 of file structural_element_2d.cpp.

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

/home/travis/build/MASTmultiphysics/mast-multiphysics/src/elasticity/structural_element_2d.h
/home/travis/build/MASTmultiphysics/mast-multiphysics/src/elasticity/structural_element_2d.cpp

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