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JuliaFEM.jl/test/test_elasticity_tetra.jl
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2016-07-10 23:41:11 +03:00

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Julia

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
using JuliaFEM
using JuliaFEM.Preprocess
using JuliaFEM.Testing
@testset "test tet4 + volume load" begin
X1 = [2.0, 3.0, 4.0]
X2 = [6.0, 3.0, 2.0]
X3 = [2.0, 5.0, 1.0]
X4 = [4.0, 3.0, 6.0]
e1 = Element(Tet4, [1, 2, 3, 4])
e1["geometry"] = Node[X1, X2, X3, X4]
e1["youngs modulus"] = 96.0
e1["poissons ratio"] = 1/3
e1["displacement load 3"] = 784.0/110.0
e2 = Element(Tri3, [1, 2, 3])
e2["geometry"] = Node[X2, X1, X3]
e2["displacement 1"] = 0.0
e2["displacement 2"] = 0.0
e2["displacement 3"] = 0.0
p1 = Problem(Elasticity, "tetra", 3)
p2 = Problem(Dirichlet, "bc", 3, "displacement")
push!(p1, e1)
push!(p2, e2)
s = Solver(Linear)
push!(s, p1, p2)
s()
u_4 = p1.assembly.u[10:end]
u_expected = [-3.0/220.0, -9.0/220.0, 1.0/10.0]
@test isapprox(u_4, u_expected)
end
@testset "test tet4 + surface load" begin
nodes = Dict{Int, Vector{Float64}}(
1 => [2.0, 3.0, 4.0],
2 => [6.0, 3.0, 2.0],
3 => [2.0, 5.0, 1.0],
4 => [4.0, 3.0, 6.0])
e1 = Element(Tet4, [1, 2, 3, 4])
update!(e1, "geometry", nodes)
e1["youngs modulus"] = 96.0
e1["poissons ratio"] = 1/3
e2 = Element(Tri3, [1, 2, 3])
update!(e2, "geometry", nodes)
e2["displacement 1"] = 0.0
e2["displacement 2"] = 0.0
e2["displacement 3"] = 0.0
e3 = Element(Tri3, [4, 3, 2])
update!(e3, "geometry", nodes)
update!(e3, "surface pressure", -96.0)
p1 = Problem(Elasticity, "tetra", 3)
p2 = Problem(Dirichlet, "bc", 3, "displacement")
push!(p1, e1, e3)
push!(p2, e2)
s = Solver(Linear)
push!(s, p1, p2)
s()
u_4 = p1.assembly.u[10:end]
u_expected = [-17.0/14.0, -27.0/14.0, 1.0]
info("u_4 = $(u_4)")
info("u_expected = $(u_expected)")
@test isapprox(u_4, u_expected)
end
#= TODO: Fix test. Make linear perturbation solver.
@testset "test tet4 + buckling" begin
X = Dict{Int, Vector{Float64}}(
1 => [2.0, 3.0, 4.0],
2 => [6.0, 3.0, 2.0],
3 => [2.0, 5.0, 1.0],
4 => [4.0, 3.0, 6.0])
u = Dict{Int, Vector{Float64}}(
1 => [0.0, 0.0, 0.0],
2 => [0.0, 0.0, 0.0],
3 => [0.0, 0.0, 0.0],
4 => [-0.25, -0.25, -0.25])
e1 = Element(Tet4, [1, 2, 3, 4])
update!(e1, "geometry", X)
update!(e1, "displacement", u)
update!(e1, "youngs modulus", 96.0)
update!(e1, "poissons ratio", 1/3)
p1 = Problem(Elasticity, "tetra", 3)
p1.properties.formulation = :continuum_buckling
push!(p1, e1)
assemble!(p1, 0.0)
free_dofs = [10, 11, 12]
Km = sparse(p1.assembly.K)[free_dofs, free_dofs]
Kg = sparse(p1.assembly.Kg)[free_dofs, free_dofs]
dump(full(Km))
dump(full(Kg))
la = sort(eigs(Km, -Kg)[1])
la_expected = [1.0, 4.0]
info("la = $la")
info("la_expected = $(la_expected)")
@test isapprox(la, la_expected)
end
=#