#!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Fri Feb 1 08:49:11 2019 @author: bleyerj """ from dolfin import * import mfront_wrapper as mf import numpy as np from ufl import diag width = 1. height = 1. mesh = RectangleMesh(Point(0., 0.), Point(width, height), 10, 10) Ve = VectorElement("CG", mesh.ufl_cell(), 1) V = FunctionSpace(mesh, MixedElement([Ve, Ve])) u = Function(V, name="Displacements") (u1, u2) = split(u) def bottom(x, on_boundary): return near(x[1], 0) and on_boundary def top(x, on_boundary): return near(x[1], height) and on_boundary def left(x, on_boundary): return near(x[0], 0) and on_boundary bc = [DirichletBC(V.sub(0).sub(0), Constant(0), left), DirichletBC(V.sub(1).sub(0), Constant(0), left), DirichletBC(V.sub(0).sub(1), Constant(0), bottom), DirichletBC(V.sub(1).sub(1), Constant(0), bottom), DirichletBC(V.sub(0).sub(1), Constant(-1), top), DirichletBC(V.sub(1).sub(1), Constant(-1), top)] facets = MeshFunction("size_t", mesh, 1) ds = Measure("ds", subdomain_data=facets) mat_prop = {"MatrixYoungModulus": 70e3, "MatrixPoissonRatio": 0.2, "FiberYoungModulus": 200e3, "FiberPoissonRatio": 0.3, "FiberVolumeFraction": 0.1, "Size": 0.1} material = mf.MFrontNonlinearMaterial("materials/src/libBehaviour.so", "MultiphaseModel", hypothesis="plane_strain", material_properties=mat_prop) problem = mf.MFrontNonlinearProblem(u, material, quadrature_degree=0) problem.bc = bc problem.register_gradient("MatrixStrain", sym(grad(u1)), symmetric=True) problem.register_gradient("InclusionStrain", sym(grad(u2)), symmetric=True) problem.register_gradient("RelativeDisplacement", diag(u2-u1), symmetric=True) problem.solve(u.vector()) x = np.linspace(width/2, width, 21) import matplotlib.pyplot as plt plt.figure() plt.plot(x, np.array([u(xi, height/2)[0] for xi in x]), "ob", label=r"\$u_x\$ (matrix, size={})".format(mat_prop["Size"])) plt.plot(x, np.array([u(xi, height/2)[2] for xi in x]), "or", label=r"\$u_x\$ (fiber, size={})".format(mat_prop["Size"])) # mat_prop["Size"] = 0.02 # problem2 = mf.MFrontNonlinearProblem(u, material, quadrature_degree=0) # problem2.bc = bc # problem2.register_gradient("MatrixStrain", sym(grad(u1)), symmetric=True) # problem2.register_gradient("InclusionStrain", sym(grad(u2)), symmetric=True) # problem2.register_gradient("RelativeDisplacement", diag(u2-u1), symmetric=True) # u = Function(V) # problem2.solve(u.vector()) # plt.plot(x, np.array([u(xi, height/2)[0] for xi in x]), "sb", markerfacecolor="None", label=r"\$u_x\$ (matrix, size={})".format(mat_prop["Size"])) # plt.plot(x, np.array([u(xi, height/2)[2] for xi in x]), "sr", markerfacecolor="None", label=r"\$u_x\$ (fiber, size={})".format(mat_prop["Size"])) plt.legend() plt.show()