Source code for felupe.mechanics._solidbody_gravity

# -*- coding: utf-8 -*-
"""
 _______  _______  ___      __   __  _______  _______ 
|       ||       ||   |    |  | |  ||       ||       |
|    ___||    ___||   |    |  | |  ||    _  ||    ___|
|   |___ |   |___ |   |    |  |_|  ||   |_| ||   |___ 
|    ___||    ___||   |___ |       ||    ___||    ___|
|   |    |   |___ |       ||       ||   |    |   |___ 
|___|    |_______||_______||_______||___|    |_______|

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 scipy.sparse import csr_matrix

from .._assembly import IntegralFormMixed
from ..constitution import AreaChange
from ._helpers import Assemble, Results


[docs]class SolidBodyGravity: "A SolidBody with methods for the assembly of sparse vectors/matrices." def __init__(self, field, gravity, density): self.field = field self.results = Results(stress=False, elasticity=False) self.assemble = Assemble(vector=self._vector, matrix=self._matrix) self._form = IntegralFormMixed self.results.gravity = np.array(gravity) self.results.density = density
[docs] def update(self, gravity): self.__init__(self.field, gravity, self.results.density)
def _vector(self, field=None, parallel=False): if field is not None: self.field = field # copy and take only the first (displacement) field of the container f = self.field.copy() f.fields = f.fields[0:1] self.results.force = self._form( fun=[self.results.density * self.results.gravity.reshape(-1, 1, 1)], v=f, dV=self.field.region.dV, grad_v=[False], ).assemble(parallel=parallel) if len(self.field) > 1: self.results.force.resize(np.sum(self.field.fieldsizes), 1) return -self.results.force def _matrix(self, field=None, parallel=False): if field is not None: self.field = field n = np.sum(self.field.fieldsizes) self.results.stiffness = csr_matrix(([0], ([0], [0])), shape=(n, n)) return self.results.stiffness