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JuliaFEM.jl/test/test_elasticity_2d_residual.jl
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# 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 2d nonlinear residual" begin
X = Dict{Int64, Vector{Float64}}(
1 => [0.0, 0.0],
2 => [1.0, 0.0],
3 => [1.0, 1.0],
4 => [0.0, 1.0])
u = Dict{Int64, Vector{Float64}}(
1 => [0.1, 0.2],
2 => [0.3, 0.4],
3 => [0.5, 0.6],
4 => [0.7, 0.8])
T = Dict{Int64, Vector{Float64}}(
3 => [0.0, 288.0],
4 => [0.0, 288.0])
element = Element(Quad4, [1, 2, 3, 4])
update!(element, "geometry", X)
update!(element, "displacement", u)
update!(element, "youngs modulus", 288.0)
update!(element, "poissons ratio", 1/3)
traction = Element(Seg2, [3, 4])
update!(traction, "geometry", X)
update!(traction, "displacement", u)
update!(traction, "displacement traction force", T)
# field problem
block = Problem(Elasticity, "BLOCK", 2)
block.properties.formulation = :plane_stress
block.properties.finite_strain = true
block.properties.geometric_stiffness = true
push!(block, element)
#push!(block, traction)
assemble!(block, 0.0)
Km = full(block.assembly.K)
Kg = full(block.assembly.Kg)
K = Km + Kg
f = full(block.assembly.f)
K_expected = [
401.76 200.88 -123.12 -5.76 -191.52 -117.36 -87.12 -77.76
200.88 473.76 -5.76 28.08 -117.36 -205.92 -77.76 -295.92
-123.12 -5.76 197.28 -2.16 -12.24 -25.92 -61.92 33.84
-5.76 28.08 -2.16 298.08 -25.92 -163.44 33.84 -162.72
-191.52 -117.36 -12.24 -25.92 240.48 120.24 -36.72 23.04
-117.36 -205.92 -25.92 -163.44 120.24 312.48 23.04 56.88
-87.12 -77.76 -61.92 33.84 -36.72 23.04 185.76 20.88
-77.76 -295.92 33.84 -162.72 23.04 56.88 20.88 401.76]
# f_expected = [142.272, 214.272, -13.824, 58.176, -75.456, 19.584, -52.992, -4.032]
f_expected = [142.272, 214.272, -13.824, 58.176, -75.456, -124.416, -52.992, -148.032]
@test isapprox(K, K_expected)
@test isapprox(f, f_expected)
end