problem.pd.PD_problem Class Reference

Class to define the peridynamic problem, i.e. More...

Collaboration diagram for problem.pd.PD_problem:

Public Member Functions
def	__init__ (self, deck)
	Constructor. More...
def	compute_b (self, deck)
	Compute the external force density "b" applied on each node. More...
def	shape_loading (self, deck, t_n, con, i)
	Provide the loading shape. More...
def	compute_weighted_volume (self, deck)
	Compute the weighted volume for each node. More...
def	internal_force (self, deck, ysolver, t_n)
	Provide the internal force density for each node for a given time step t_n. More...
def	residual_vector (self, deck, ysolver, t_n)
	Provide the residual for each node after a solving step for a given time step t_n. More...
def	jacobian_matrix (self, deck, ysolver, t_n, perturbation_factor)
	Provide the Jacobian (stiffness) matrix for a given time step t_n for the Newton's method. More...
def	newton_step (self, deck, ysolver, t_n, perturbation_factor, residual)
	Provide the displacement increment resultiong for the Newton's method, for each node for a given time step t_n. More...
def	quasi_static_solver (self, deck, ysolver)
	Solve the peridynamic problem at each time step using the Newton's method to obtain the actual nodes' position. More...
def	update_force_data (self, mat_class, t_n)
	Store the internal force density for each node at each time step. More...
def	update_ext_state_data (self, mat_class, t_n)
	Store the extension for each node between itself and its family. More...
def	update_ext_state_visco_data (self, mat_class, t_n)
	Store the viscous extension for each node between itself and its family. More...
def	strain_calculation (self, deck, id_Node_1, id_Node_2)
	Provide the strain between 2 nodes. More...

Public Attributes
	neighbors
	Family of each node.
	y
	Nodes' positions stored for each time step.
	force_int
	Global internal force density array storing the force density attached to each node for each time step.
	ext
	Extension array storing the extension at each node between the node and its family.
	b
	External force density "b" applied on each node.
	weighted_volume
	Weighted volume for each node.
	mat_class
	Data from the material class.

Detailed Description

Class to define the peridynamic problem, i.e.

applying boundaries conditions to the geomety and solve the problem

Constructor & Destructor Documentation

__init__()

def problem.pd.PD_problem.__init__	(		self,
			deck
	)

Constructor.

Parameters

deck	The input deck

Member Function Documentation

compute_b()

def problem.pd.PD_problem.compute_b	(		self,
			deck
	)

Compute the external force density "b" applied on each node.

Parameters

deck	The input deck

compute_weighted_volume()

def problem.pd.PD_problem.compute_weighted_volume	(		self,
			deck
	)

Compute the weighted volume for each node.

Parameters

deck	The input deck

internal_force()

def problem.pd.PD_problem.internal_force	(		self,
			deck,
			ysolver,
			t_n
	)

Provide the internal force density for each node for a given time step t_n.

Parameters

deck	The input deck
ysolver	Initial guess for Actual nodes' position
t_n	Id of the time step

Returns

Internal force density for each node

jacobian_matrix()

def problem.pd.PD_problem.jacobian_matrix	(		self,
			deck,
			ysolver,
			t_n,
			perturbation_factor
	)

Provide the Jacobian (stiffness) matrix for a given time step t_n for the Newton's method.

Parameters

deck	The input deck
ysolver	Initial guess for Actual nodes' position
t_n	Id of the time step
perturbation_factor	Magnitude of the perturbation factor

Returns

Jacobian matrix

newton_step()

def problem.pd.PD_problem.newton_step	(		self,
			deck,
			ysolver,
			t_n,
			perturbation_factor,
			residual
	)

Provide the displacement increment resultiong for the Newton's method, for each node for a given time step t_n.

Parameters

deck	The input deck
ysolver	Initial guess for Actual nodes' position
t_n	Id of the time step
perturbation_factor	Magnitude of the perturbation factor
residual	Residual for each node resulting from a solving step

Returns

Displacement increment for each node

quasi_static_solver()

def problem.pd.PD_problem.quasi_static_solver	(		self,
			deck,
			ysolver
	)

Solve the peridynamic problem at each time step using the Newton's method to obtain the actual nodes' position.

Parameters

deck	The input deck
ysolver	Initial guess for Actual nodes' position

residual_vector()

def problem.pd.PD_problem.residual_vector	(		self,
			deck,
			ysolver,
			t_n
	)

Provide the residual for each node after a solving step for a given time step t_n.

Parameters

deck	The input deck
ysolver	Initial guess for Actual nodes' position
t_n	Id of the time step

Returns

Residual for each node

shape_loading()

def problem.pd.PD_problem.shape_loading	(		self,
			deck,
			t_n,
			con,
			i
	)

Provide the loading shape.

Parameters

deck	The input deck
t_n	Id of the time step
con	Type of loading, "Force" or "Displacement"
i	Id of Node "i"

strain_calculation()

def problem.pd.PD_problem.strain_calculation	(		self,
			deck,
			id_Node_1,
			id_Node_2
	)

Provide the strain between 2 nodes.

Parameters

deck	The input deck
id_Node_1	Id of the 1st node
id_Node_2	Id of the 2nd node

update_ext_state_data()

def problem.pd.PD_problem.update_ext_state_data	(		self,
			mat_class,
			t_n
	)

Store the extension for each node between itself and its family.

Parameters

mat_class	Data from the material class
t_n	Id of the time step

update_ext_state_visco_data()

def problem.pd.PD_problem.update_ext_state_visco_data	(		self,
			mat_class,
			t_n
	)

Store the viscous extension for each node between itself and its family.

Parameters

mat_class	Data from the material class
t_n	Id of the time step

update_force_data()

def problem.pd.PD_problem.update_force_data	(		self,
			mat_class,
			t_n
	)

Store the internal force density for each node at each time step.

Parameters

mat_class	Data from the material class
t_n	Id of the time step

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

• /calculs/git/peridynamics_1D/problem/pd.py