mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-24 11:16:47 +00:00
Jukka Aho
44 lines
1.4 KiB
Julia
44 lines
1.4 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 tet10 stiffness matrix" begin
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el = Element(Tet10, [1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
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el["youngs modulus"] = 480.0
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el["poissons ratio"] = 1/3
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x1 = [2.0, 3.0, 4.0]
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x2 = [6.0, 3.0, 2.0]
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x3 = [2.0, 5.0, 1.0]
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x4 = [4.0, 3.0, 6.0]
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x5 = 0.5*(x1+x2)
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x6 = 0.5*(x2+x3)
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x7 = 0.5*(x3+x1)
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x8 = 0.5*(x1+x4)
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x9 = 0.5*(x2+x4)
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x10 = 0.5*(x3+x4)
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X = Dict{Int64, Vector{Float64}}(
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1 => x1, 2 => x2, 3 => x3, 4 => x4, 5 => x5,
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6 => x6, 7 => x7, 8 => x8, 9 => x9, 10 => x10)
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u = Dict{Int64, Vector{Float64}}()
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for i=1:10
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u[i] = [0.0, 0.0, 0.0]
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end
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update!(el, "geometry", X)
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update!(el, "displacement", u)
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pr = Problem(Elasticity, "tet10", 3)
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ass = Assembly()
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assemble!(ass, pr, el, 0.0)
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Kt = full(ass.K)
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eigs = real(eigvals(Kt))
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eigs_expected = [8809.45, 4936.01, 2880.56, 2491.66, 2004.85,
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1632.49, 1264.32, 1212.42, 817.905,
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745.755, 651.034, 517.441, 255.1, 210.955,
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195.832, 104.008, 72.7562, 64.4376, 53.8515,
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23.8417, 16.6354, 9.54682, 6.93361, 2.22099,
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0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
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@test isapprox(eigs, eigs_expected; atol=1.0e-2)
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end
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