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https://github.com/JuliaFEM/JuliaFEM.jl.git
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86 lines
3.2 KiB
Julia
86 lines
3.2 KiB
Julia
# This file is a part of JuliaFEM.
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# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
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using JuliaFEM
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using JuliaFEM.Preprocess
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using JuliaFEM.Test
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@testset "test continuum 3d linear elasticity with surface load" begin
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nodes = Dict{Int64, Node}(
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1 => [0.0, 0.0, 0.0],
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2 => [1.0, 0.0, 0.0],
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3 => [1.0, 1.0, 0.0],
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4 => [0.0, 1.0, 0.0],
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5 => [0.0, 0.0, 1.0],
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6 => [1.0, 0.0, 1.0],
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7 => [1.0, 1.0, 1.0],
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8 => [0.0, 1.0, 1.0])
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element1 = Element(Hex8, [1, 2, 3, 4, 5, 6, 7, 8])
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element2 = Element(Quad4, [5, 6, 7, 8])
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update!([element1, element2], "geometry", nodes)
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update!([element1], "youngs modulus", 288.0)
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update!([element1], "poissons ratio", 1/3)
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update!([element2], "displacement traction force 3", 288.0)
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update!([element1], "displacement load 3", 576.0)
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elasticity_problem = Problem(Elasticity, "solve continuum block", 3)
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elasticity_problem.properties.finite_strain = false
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push!(elasticity_problem, element1)
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push!(elasticity_problem, element2)
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symxy = Element(Quad4, [1, 2, 3, 4])
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symxz = Element(Quad4, [1, 2, 6, 5])
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symyz = Element(Quad4, [1, 4, 8, 5])
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update!([symxy, symxz, symyz], "geometry", nodes)
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symyz["displacement 1"] = 0.0
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symxz["displacement 2"] = 0.0
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symxy["displacement 3"] = 0.0
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boundary_problem = Problem(Dirichlet, "symmetry boundary conditions", 3, "displacement")
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push!(boundary_problem, symxy, symxz, symyz)
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solver = LinearSolver(elasticity_problem, boundary_problem)
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call(solver)
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disp = element1("displacement", [1.0, 1.0, 1.0], 0.0)
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info("displacement at tip: $disp")
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u_expected = 2.0 * [-1/3, -1/3, 1.0]
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@test isapprox(disp, u_expected)
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end
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function solve_rod_model_elasticity(eltype)
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fn = Pkg.dir("JuliaFEM") * "/test/testdata/rod_short.med"
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mesh = aster_read_mesh(fn, eltype)
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element_sets = join(keys(mesh.element_sets), ", ")
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info("element sets: $element_sets")
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p1 = Problem(Elasticity, "rod", 3)
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p2 = Problem(Elasticity, "trac", 3)
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p3 = Problem(Dirichlet, "fixed", 3, "displacement")
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p4 = Problem(Dirichlet, "fixed", 3, "displacement")
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p5 = Problem(Dirichlet, "fixed", 3, "displacement")
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p1.elements = create_elements(mesh, "ROD")
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p2.elements = create_elements(mesh, "FACE2")
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p3.elements = create_elements(mesh, "FACE1")
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p4.elements = create_elements(mesh, "FACE3")
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p5.elements = create_elements(mesh, "FACE5")
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update!(p1, "youngs modulus", 96.0)
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update!(p1, "poissons ratio", 1/3)
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update!(p2, "displacement traction force 1", 96.0)
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update!(p3, "displacement 1", 0.0)
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update!(p4, "displacement 2", 0.0)
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update!(p5, "displacement 3", 0.0)
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solver = LinearSolver(p1, p2, p3, p4, p5)
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call(solver)
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u_max = maximum(p1.assembly.u)
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info("$eltype, u_max = $u_max")
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return u_max
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end
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@testset "compare 3d rod to CA solution" begin
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@test isapprox(solve_rod_model_elasticity("Tet4"), 0.2)
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@test isapprox(solve_rod_model_elasticity("Tet10"), 0.2)
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@test isapprox(solve_rod_model_elasticity("Hex8"), 0.2)
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@test isapprox(solve_rod_model_elasticity("Hex20"), 0.2)
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@test isapprox(solve_rod_model_elasticity("Hex27"), 0.2)
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end
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