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59 lines
2.3 KiB
Julia
59 lines
2.3 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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module ElasticityTests
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using JuliaFEM.Test
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using JuliaFEM.Core: Seg2, Quad4, PlaneStressElasticityProblem, solve!
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function test_elasticity_volume_load()
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element = Quad4([1, 2, 3, 4])
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element["geometry"] = Vector[[0.0, 0.0], [10.0, 0.0], [10.0, 1.0], [0.0, 1.0]]
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element["youngs modulus"] = 500.0
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element["poissons ratio"] = 0.3
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element["displacement load"] = Vector[[0.0, -10.0], [0.0, -10.0], [0.0, -10.0], [0.0, -10.0]]
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element["displacement"] = (0.0 => Vector{Float64}[[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]])
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problem = PlaneStressElasticityProblem()
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push!(problem, element)
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free_dofs = [3, 4, 5, 6]
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solve!(problem, free_dofs, 0.0; max_iterations=10)
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disp = element("displacement", [1.0, 1.0], 0.0)
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ip1 = last(element["integration points"])[1]
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ip2 = last(element["integration points"])[2]
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strain = ip1["gl strain"]
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info("displacement at tip: $disp")
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info("strain in first ip: $strain. ip coord = $(ip1.xi) and weight = $(ip1.weight)")
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# verified using Code Aster, verification/2015-10-22-plane-stress/cplan_grot_gdep_volume_force.resu
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@test isapprox(disp[2], -8.77303119819776)
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end
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#test_elasticity_volume_load()
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function test_elasticity_surface_load()
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N = Vector[[0.0, 0.0], [1.0, 0.0], [0.0, 1.0], [1.0, 1.0]]
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element1 = Quad4([1, 2, 4, 3])
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element1["geometry"] = Vector[N[1], N[2], N[4], N[3]]
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element1["youngs modulus"] = 900.0
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element1["poissons ratio"] = 0.25
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element1["displacement"] = (0.0 => Vector{Float64}[[0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]])
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element2 = Seg2([3, 4])
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element2["geometry"] = Vector[N[3], N[4]]
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element2["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]]
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element2["displacement"] = (0.0 => Vector{Float64}[[0.0, 0.0], [0.0, 0.0]])
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#free_dofs = [3, 5, 6, 8]
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free_dofs = [3, 6, 7, 8]
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problem = PlaneStressElasticityProblem()
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push!(problem, element1)
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push!(problem, element2)
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solve!(problem, free_dofs, 0.0; max_iterations=10)
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disp = element1("displacement", [1.0, 1.0], 0.0)
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info("displacement at tip: $disp")
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# verified using Code Aster.
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@test isapprox(disp, [3.17431158889468E-02, -1.38591518927826E-01])
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end
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end
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