# This file is a part of JuliaFEM. # License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md module LinearElasticityTests using JuliaFEM using JuliaFEM.Test using JuliaFEM.Core: Seg2, Quad4, Hex8, LinearElasticityProblem, get_connectivity, assemble, PlaneStressLinearElasticityProblem, DirichletProblem, LinearSolver using JuliaFEM.Preprocess: aster_parse_nodes using JuliaFEM.Core: PlaneStressLinearElasticPlasticProblem function test_plane_stress_linear_elasticplastic_with_surface_load() nodes = Dict{Int64, Vector{Float64}}( 1 => [0.0, 0.0], 2 => [1.0, 0.0], 3 => [1.0, 1.0], 4 => [0.0, 1.0]) function set_geometry!(element, nodes) element["geometry"] = Vector{Float64}[nodes[i] for i in get_connectivity(element)] end element1 = Quad4([1, 2, 3, 4]) set_geometry!(element1, nodes) element1["youngs modulus"] = 9000.0 element1["poissons ratio"] = 0.25 element2 = Seg2([3, 4]) set_geometry!(element2, nodes) element2["displacement traction force"] = Vector{Float64}[[0.0, -100.0] for i=1:2] # problem = PlaneStressLinearElasticityProblem() problem = PlaneStressLinearElasticPlasticProblem() push!(problem, element1) push!(problem, element2) free_dofs = Int64[3, 5, 6, 8] ass = assemble(problem, 0.0) f = full(ass.force_vector) K = full(ass.stiffness_matrix) # info("initial force vector") # dump(reshape(f, 2, 4)) # info("initial stiffness matrix") # dump(round(Int, K)[free_dofs, free_dofs]) u = zeros(2, 4) u[free_dofs] = K[free_dofs, free_dofs] \ f[free_dofs] info("result vector") dump(u) # verified using Code Aster. # 2015-10-22-plane-stress/cplan_linear_traction_force.* @test isapprox(u[:,3], [2.77777777777778E-03, -1.11111111111111E-02]) end # test_plane_stress_linear_elasticplastic_with_surface_load() end