Computation

class Computation(R_at_nodes_, exponents_, R_at_int_points_, int_weights_, X_at_nodes_, U_at_nodes_, S_at_int_points_, e_at_int_points_, is_dbf: bool = True)

Compute F, P, CS, and CF.

Parameters:

• R_at_nodes – array of shape (n, d) of reference space nodal coordinates

• exponents – array of shape (n, d) of integer exponents

• R_at_int_points – array of shape (ips, d) of reference space coordinates

• int_weights – array of shape (ips,)

• X_at_nodes – array of shape (n, d) of real space nodal coordinates

• U_at_nodes – array of shape (n, d) of real space nodal displacements

• S_at_int_points – array of shape (ips, d, d) of real space Cauchy stresses

• e_at_int_points – array of shape (ips,) of energy densities

• is_dbf – use “dbf” if True else “mbf”

Methods

__init__(R_at_nodes_, exponents_, ...[, is_dbf])	Compute F, P, CS, and CF.
map_symbolic_to_expression(symbolic, expr)	Add the mapping symbolic -> expr to symbols_to_expressions.

Attributes

symbols_to_expressions	dictionary mapping symbols to (symbolic) expressions
replacements_by_int_points	list of dictionary in the form [{r0: 0, r1: 0}, {r0: 1, r1: 0}, ...]
R	symbolic reference coordinates
F	deformation gradient
P	first Piola-Kirchhoff stress tensor
CS	configurational stresses
CF_at_nodes	configurational forces at element nodes