Detailed Description

Definition at line 42 of file structural_element_2d.h.

#include <structural_element_2d.h>

Inheritance diagram for MAST::StructuralElement2D:

Collaboration diagram for MAST::StructuralElement2D:

[legend]

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

virtual	~StructuralElement2D ()

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 bool	if_incompatible_modes () const

virtual bool	internal_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	Calculates the internal residual vector and Jacobian due to strain energy. 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	internal_residual_jac_dot_state_sensitivity (RealMatrixX &jac)
	calculates d[J]/d{x} . 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 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	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 void	thermal_residual_temperature_derivative (const MAST::FEBase &fe_thermal, RealMatrixX &m)

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

virtual	~BendingStructuralElem ()
	destructor More...

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

virtual	~StructuralElementBase ()

virtual bool	damping_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac)
	damping 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...

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

virtual unsigned int	incompatible_mode_size () const

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 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...

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...

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	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	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...

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

const RealVectorX &	local_solution (bool if_sens=false) const

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...

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

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_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_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_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...

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	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...

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

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

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

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

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

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

const MAST::GeomElem &	elem () 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...

const RealVectorX &	sol (bool if_sens=false) const

MAST::NonlinearSystem &	system ()

MAST::SystemInitialization &	system_initialization ()

Protected Member Functions
void	_compute_stress (MAST::FEBase &fe, unsigned int qp, RealVectorX &stress, RealMatrixX *dstress_dX)
	Computes the stress at the specified quadrature point of the FE data structure. More...

void	_compute_stress_gradient (MAST::FEBase &fe, unsigned int qp, RealMatrixX &stress_grad, std::vector< RealMatrixX > *dstress_grad_dX)
	computes the gradient of stress in Voigt notation in `stress_grad` where the three columns are the derivative of stress in x, y, z, respectively. More...

void	_compute_stress_gradient_sensitivity (const MAST::FunctionBase &f, MAST::FEBase &fe, unsigned int qp, RealMatrixX &stress_grad)

void	_compute_stress_sensitivity (const MAST::FunctionBase &f, MAST::FEBase &fe, unsigned int qp, RealVectorX &stress)

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...

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	_surface_normal_voigt_notation (const RealVectorX &normal, RealMatrixX &normal_mat)
	creates a matrix that can be multiplied with the Voigt notation of stress to compute the surface normal traction 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	initialize_strain_operator_gradient (const unsigned int qp, const MAST::FEBase &fe, const RealVectorX &local_disp, RealMatrixX &epsilon_grad, std::vector< MAST::FEMOperatorMatrix > &dBmat_lin)

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 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 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 (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, 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_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...

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

virtual bool	surface_traction_residual_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of element vector and matrix quantities for surface traction boundary condition. More...

virtual bool	surface_traction_residual_shifted_boundary (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of force vector and Jacobian due to surface traction and sensitiity due to boundary movement. More...

virtual bool	surface_traction_residual_shifted_boundary_sensitivity (const MAST::FunctionBase &p, bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int side, MAST::BoundaryConditionBase &bc)
	Calculates the sensitivity of force vector and Jacobian due to surface traction and sensitiity due to boundary movement. 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 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	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...

Protected Member Functions inherited from MAST::StructuralElementBase
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	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 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	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 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
RealVectorX *	_incompatible_sol
	incompatible mode solution vector More...

RealVectorX	_local_accel
	local acceleration More...

RealVectorX	_local_accel_sens
	local acceleration sensitivity More...

RealVectorX	_local_delta_accel
	local perturbed acceleration More...

RealVectorX	_local_delta_accel_sens
	local perturbed acceleration sensitivity More...

RealVectorX	_local_delta_sol
	local perturbed solution More...

RealVectorX	_local_delta_sol_sens
	local perturbed solution sensitivity More...

RealVectorX	_local_delta_vel
	local perturbed velocity More...

RealVectorX	_local_delta_vel_sens
	local perturbed velocity sensitivity More...

RealVectorX	_local_sol
	local solution More...

RealVectorX	_local_sol_sens
	local solution sensitivity More...

RealVectorX	_local_vel
	local velocity More...

RealVectorX	_local_vel_sens
	local velocity sensitivity More...

const MAST::ElementPropertyCardBase &	_property
	element property More...

Protected Attributes inherited from MAST::ElementBase
RealVectorX	_accel
	local acceleration More...

RealVectorX	_accel_sens
	local acceleration More...

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

RealVectorX	_delta_accel_sens
	local acceleration More...

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

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

RealVectorX	_delta_vel
	local velocity More...

RealVectorX	_delta_vel_sens
	local velocity More...

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

RealVectorX	_sol
	local solution More...

RealVectorX	_sol_sens
	local solution sensitivity More...

MAST::SystemInitialization &	_system
	SystemInitialization object associated with this element. More...

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

RealVectorX	_vel
	local velocity More...

RealVectorX	_vel_sens
	local velocity More...

Constructor & Destructor Documentation

◆ StructuralElement2D()

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

Definition at line 39 of file structural_element_2d.cpp.

◆ ~StructuralElement2D()

MAST::StructuralElement2D::~StructuralElement2D ( )

virtual

Definition at line 48 of file structural_element_2d.cpp.

Member Function Documentation

◆ _compute_stress()

void MAST::StructuralElement2D::_compute_stress	(	MAST::FEBase &	fe,
		unsigned int	qp,
		RealVectorX &	stress,
		RealMatrixX *	dstress_dX
	)

protected

Computes the stress at the specified quadrature point of the FE data structure.

The FE object must already be initialized. The derivative of the stress with respect to the state variables is computed if a pointer to the matrix is provided.

Definition at line 4178 of file structural_element_2d.cpp.

◆ _compute_stress_gradient()

void MAST::StructuralElement2D::_compute_stress_gradient	(	MAST::FEBase &	fe,
		unsigned int	qp,
		RealMatrixX &	stress_grad,
		std::vector< RealMatrixX > *	dstress_grad_dX
	)

protected

computes the gradient of stress in Voigt notation in stress_grad where the three columns are the derivative of stress in x, y, z, respectively.

If a pointer is provided in dstress_grad_dX then each element of this vector contains the derive of the gradient matrix column wrt the state variables.

Definition at line 4657 of file structural_element_2d.cpp.

◆ _compute_stress_gradient_sensitivity()

void MAST::StructuralElement2D::_compute_stress_gradient_sensitivity	(	const MAST::FunctionBase &	f,
		MAST::FEBase &	fe,
		unsigned int	qp,
		RealMatrixX &	stress_grad
	)

protected

Definition at line 4873 of file structural_element_2d.cpp.

◆ _compute_stress_sensitivity()

void MAST::StructuralElement2D::_compute_stress_sensitivity	(	const MAST::FunctionBase &	f,
		MAST::FEBase &	fe,
		unsigned int	qp,
		RealVectorX &	stress
	)

protected

Definition at line 4477 of file structural_element_2d.cpp.

◆ _convert_prestress_A_mat_to_vector()

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 2025 of file structural_element_2d.cpp.

◆ _convert_prestress_B_mat_to_vector()

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 2039 of file structural_element_2d.cpp.

◆ _internal_residual_operation()

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 1767 of file structural_element_2d.cpp.

◆ _surface_normal_voigt_notation()

void MAST::StructuralElement2D::_surface_normal_voigt_notation	(	const RealVectorX &	normal,
		RealMatrixX &	normal_mat
	)

protected

creates a matrix that can be multiplied with the Voigt notation of stress to compute the surface normal traction

Definition at line 5053 of file structural_element_2d.cpp.

◆ calculate_stress()

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

virtual

Calculates the stress tensor.

Detailed Description

Public Member Functions

Protected Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

◆ StructuralElement2D()

◆ ~StructuralElement2D()

Member Function Documentation

◆ _compute_stress()

◆ _compute_stress_gradient()

◆ _compute_stress_gradient_sensitivity()

◆ _compute_stress_sensitivity()

◆ _convert_prestress_A_mat_to_vector()

◆ _convert_prestress_B_mat_to_vector()

◆ _internal_residual_operation()

◆ _surface_normal_voigt_notation()

◆ calculate_stress()

◆ calculate_stress_boundary_velocity()

◆ calculate_stress_temperature_derivative()

◆ if_incompatible_modes()

◆ initialize_green_lagrange_strain_operator()

◆ initialize_strain_operator_gradient()

◆ initialize_von_karman_strain_operator()

◆ initialize_von_karman_strain_operator_sensitivity()

◆ internal_residual()

◆ internal_residual_boundary_velocity()

◆ internal_residual_jac_dot_state_sensitivity()

◆ internal_residual_sensitivity()

◆ linearized_frequency_domain_surface_pressure_residual()

◆ linearized_frequency_domain_surface_pressure_residual_sensitivity()

◆ n_direct_strain_components()

◆ n_von_karman_strain_components()

◆ piston_theory_residual() [1/2]

◆ piston_theory_residual() [2/2]

◆ piston_theory_residual_sensitivity() [1/2]

◆ piston_theory_residual_sensitivity() [2/2]

◆ prestress_residual()

◆ prestress_residual_sensitivity()

◆ surface_pressure_residual()

◆ surface_pressure_residual_sensitivity()

◆ surface_traction_residual()

◆ surface_traction_residual_sensitivity()

◆ surface_traction_residual_shifted_boundary()

◆ surface_traction_residual_shifted_boundary_sensitivity()

◆ thermal_residual()

◆ thermal_residual_boundary_velocity()

◆ thermal_residual_sensitivity()

◆ thermal_residual_temperature_derivative()