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48 lines
1.5 KiB
Julia
48 lines
1.5 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: assemble_mass_matrix!
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using JuliaFEM.Testing
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@testset "test tet10 mass matrix" begin
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X = Dict(
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1 => [2.0, 3.0, 4.0],
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2 => [6.0, 3.0, 2.0],
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3 => [2.0, 5.0, 1.0],
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4 => [4.0, 3.0, 6.0])
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X[5] = 1/2*(X[1] + X[2])
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X[6] = 1/2*(X[2] + X[3])
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X[7] = 1/2*(X[3] + X[1])
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X[8] = 1/2*(X[1] + X[4])
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X[9] = 1/2*(X[2] + X[4])
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X[10] = 1/2*(X[3] + X[4])
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element = Element(Tet10, [1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
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update!(element, "youngs modulus", 480.0)
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update!(element, "poissons ratio", 1/3)
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update!(element, "geometry", X)
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update!(element, "density", 105.0)
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body = Problem(Heat, "TET", 1)
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add_elements!(body, [element])
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assemble!(body, 0.0)
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assemble_mass_matrix!(body, 0.0)
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#println(body.assembly.K)
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M = full(body.assembly.M)
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M_expected = [
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6 1 1 1 -4 -6 -4 -4 -6 -6
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1 6 1 1 -4 -4 -6 -6 -4 -6
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1 1 6 1 -6 -4 -4 -6 -6 -4
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1 1 1 6 -6 -6 -6 -4 -4 -4
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-4 -4 -6 -6 32 16 16 16 16 8
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-6 -4 -4 -6 16 32 16 8 16 16
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-4 -6 -4 -6 16 16 32 16 8 16
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-4 -6 -6 -4 16 8 16 32 16 16
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-6 -4 -6 -4 16 16 8 16 32 16
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-6 -6 -4 -4 8 16 16 16 16 32]
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@test isapprox(M, M_expected)
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end
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