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JuliaFEM.jl/test/test_elasticity_3d_linear_with_surface_load.jl
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2016-05-24 08:01:41 +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.Test
@testset "test continuum 3d linear elasticity with surface load" begin
nodes = Dict{Int64, Node}(
1 => [0.0, 0.0, 0.0],
2 => [1.0, 0.0, 0.0],
3 => [1.0, 1.0, 0.0],
4 => [0.0, 1.0, 0.0],
5 => [0.0, 0.0, 1.0],
6 => [1.0, 0.0, 1.0],
7 => [1.0, 1.0, 1.0],
8 => [0.0, 1.0, 1.0])
element1 = Element(Hex8, [1, 2, 3, 4, 5, 6, 7, 8])
element2 = Element(Quad4, [5, 6, 7, 8])
update!([element1, element2], "geometry", nodes)
update!([element1], "youngs modulus", 288.0)
update!([element1], "poissons ratio", 1/3)
update!([element2], "displacement traction force 3", 288.0)
update!([element1], "displacement load 3", 576.0)
elasticity_problem = Problem(Elasticity, "solve continuum block", 3)
elasticity_problem.properties.finite_strain = false
push!(elasticity_problem, element1)
push!(elasticity_problem, element2)
symxy = Element(Quad4, [1, 2, 3, 4])
symxz = Element(Quad4, [1, 2, 6, 5])
symyz = Element(Quad4, [1, 4, 8, 5])
update!([symxy, symxz, symyz], "geometry", nodes)
symyz["displacement 1"] = 0.0
symxz["displacement 2"] = 0.0
symxy["displacement 3"] = 0.0
boundary_problem = Problem(Dirichlet, "symmetry boundary conditions", 3, "displacement")
push!(boundary_problem, symxy, symxz, symyz)
solver = Solver("solve 3d block")
push!(solver, elasticity_problem)
push!(solver, boundary_problem)
call(solver)
disp = element1("displacement", [1.0, 1.0, 1.0], 0.0)
info("displacement at tip: $disp")
u_expected = 2.0 * [-1/3, -1/3, 1.0]
@test isapprox(disp, u_expected)
end