Fenics and gmsh11/8/2022 ![]() ![]() inner ( sigma ( u_tr ), epsilon ( u_test )) * fe. TestFunction ( V ) # - # Boundary conditions # - bc = fe. VectorFunctionSpace ( mesh, "CG", 1 ) u_tr = fe. ds ( subdomain_data = boundaries ) # - # Function spaces # - V = fe. Gmsh CAD File Import and Mesh Generation Tutorial Easy Python Multiphysics Finite Element FEM Simulations with FEniCS and FEATool Easy MATLAB CFD Simulation. Similar to FreeFEM, FEniCS is also a very powerful open-source finite element framewo. Mesh ( "external_mesh.xml" ) # Definition of Neumann condition domain boundaries = fe. In the previous video, we solved our finite element example in FreeFEM. Constant (( 0.0, b_z )) # Model type model = "plane_strain" if model = "plane_stress" : lambda_ = 2 * mu * lambda_ / ( lambda_ + 2 * mu ) # - # Geometry # - mesh = fe. Constant ( 200.0 ) # Young's modulus and Poisson's ratio E = 0.02e9 nu = 0.0 # Lame's constants lambda_ = E * nu / ( 1 + nu ) / ( 1 - 2 * nu ) mu = E / 2 / ( 1 + nu ) l_x, l_y = 5.0, 5.0 # Domain dimensions n_x, n_y = 20, 20 # Number of elements # Load g_z = - 2.9575e5 b_z = - 10.0 g = fe. ![]() ![]() Identity ( 2 ) + 2 * mu * epsilon ( u ) # - # Parameters # - # Density rho = fe. grad ( u )) # Stress function def sigma ( u ): return lambda_ * fe. near ( x, 0.0 )) # Strain function def epsilon ( u ): return fe. If adaptivity is necessary one alternative is to remesh during computations. Try to use the Octave fenics facilities to solve the problem of steady state. Import fenics as fe import matplotlib.pyplot as plt import numpy as np # - # Functions and classes # - def bottom ( x, on_boundary ): return ( on_boundary and fe. To the best of my knowledge adaptivity (coarsening in particular) is not a strength of FEniCS. Plot a finite element mesh for a triangular domain using the Octave gmsh. #FENICS AND GMSH GENERATOR#by the mesh degeneracy, an improper set of boundary conditions, or by the insuffuciency of the numerical integration. Unfortunately the built in Fenics mesh generator is not any good for periodic boundary conditions (doesnt enforce identical mesh elements at the boundaries). ![]()
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