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55 lines
1.3 KiB
Julia
55 lines
1.3 KiB
Julia
using JuliaFEM.elasticity_solver
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using FactCheck
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using Logging
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@Logging.configure(level=DEBUG)
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facts("test solve elasticity increment") do
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X = [0 0; 10 0; 10 1; 0 1]'
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elmap = [1; 2; 3; 4]
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nodalloads = [0 0; 0 0; 0 -2; 0 0]'
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@debug("nodal loads:\n", nodalloads)
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dirichletbc = [0 0; NaN NaN; NaN NaN; 0 0]'
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E = 90
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nu = 0.25
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mu = E/(2*(1+nu))
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la = E*nu/((1+nu)*(1-2*nu))
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la = 2*la*mu/(la + 2*mu)
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la = la*ones(1, 4)
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mu = mu*ones(1, 4)
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u = zeros(2, 4)
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du = zeros(2, 4)
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R = zeros(2,4)
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Kt = zeros(8,8)
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N(xi) = [
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(1-xi[1])*(1-xi[2])/4
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(1+xi[1])*(1-xi[2])/4
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(1+xi[1])*(1+xi[2])/4
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(1-xi[1])*(1+xi[2])/4
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]
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dNdξ(ξ) = [-(1-ξ[2])/4.0 -(1-ξ[1])/4.0
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(1-ξ[2])/4.0 -(1+ξ[1])/4.0
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(1+ξ[2])/4.0 (1+ξ[1])/4.0
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-(1+ξ[2])/4.0 (1-ξ[1])/4.0]
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ipoints = 1/sqrt(3)*[-1 -1; 1 -1; 1 1; -1 1]
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iweights = [1 1 1 1]
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for i=1:10
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JuliaFEM.elasticity_solver.solve_elasticity_increment!(
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X, u, du, R, Kt,elmap, nodalloads, dirichletbc, la, mu, N, dNdξ, ipoints, iweights)
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@debug("increment:\n",du)
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u += du
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if norm(du) < 1.0e-9
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break
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end
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end
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@debug("solution\n",u)
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@fact u[2, 3] => roughly(-2.222244754401764) # Tested against Elmer solution
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end
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