Source code for felupe.mechanics._solidbody

# -*- coding: utf-8 -*-
"""
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This file is part of felupe.

Felupe is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

Felupe is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with Felupe.  If not, see <http://www.gnu.org/licenses/>.

"""

import numpy as np

from .._assembly import IntegralFormMixed
from ..constitution import AreaChange
from ..math import dot, transpose, det
from ._helpers import Assemble, Evaluate, Results


[docs]class SolidBody: "A SolidBody with methods for the assembly of sparse vectors/matrices." def __init__(self, umat, field, statevars=None): self.umat = umat self.field = field self.results = Results(stress=True, elasticity=True) self.results.kinematics = self._extract(self.field) if statevars is not None: self.results.statevars = statevars else: self.results.statevars = np.zeros( ( *umat.x[-1].shape, field.region.quadrature.npoints, field.region.mesh.ncells, ) ) self.assemble = Assemble(vector=self._vector, matrix=self._matrix) self.evaluate = Evaluate( gradient=self._gradient, hessian=self._hessian, cauchy_stress=self._cauchy_stress, kirchhoff_stress=self._kirchhoff_stress, ) self._area_change = AreaChange() self._form = IntegralFormMixed def _vector( self, field=None, parallel=False, jit=False, items=None, args=(), kwargs={} ): if field is not None: self.field = field self.results.stress = self._gradient(field, args=args, kwargs=kwargs) self.results.force = self._form( fun=self.results.stress[slice(items)], v=self.field, dV=self.field.region.dV, ).assemble(parallel=parallel, jit=jit) return self.results.force def _matrix( self, field=None, parallel=False, jit=False, items=None, args=(), kwargs={} ): if field is not None: self.field = field self.results.elasticity = self._hessian(field, args=args, kwargs=kwargs) self.results.stiffness = self._form( fun=self.results.elasticity[slice(items)], v=self.field, u=self.field, dV=self.field.region.dV, ).assemble(parallel=parallel, jit=jit) return self.results.stiffness def _extract(self, field): self.field = field self.results.kinematics = self.field.extract() return self.results.kinematics def _gradient(self, field=None, args=(), kwargs={}): if field is not None: self.field = field self.results.kinematics = self._extract(self.field) gradient = self.umat.gradient( [*self.results.kinematics, self.results.statevars], *args, **kwargs ) self.results.stress, self.results._statevars = gradient[:-1], gradient[-1] return self.results.stress def _hessian(self, field=None, args=(), kwargs={}): if field is not None: self.field = field self.results.kinematics = self._extract(self.field) self.results.elasticity = self.umat.hessian( [*self.results.kinematics, self.results.statevars], *args, **kwargs ) return self.results.elasticity def _kirchhoff_stress(self, field=None): self._gradient(field) P = self.results.stress[0] F = self.results.kinematics[0] return dot(P, transpose(F)) def _cauchy_stress(self, field=None): self._gradient(field) P = self.results.stress[0] F = self.results.kinematics[0] J = det(F) return dot(P, transpose(F)) / J