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JuliaFEM.jl/test/test_elasticity_2d_linear_with_surface_load.jl
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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.Test
@testset "test 2d linear elasticity with surface load" begin
meshfile = "/geometry/2d_block/BLOCK_1elem.med"
mesh = aster_read_mesh(Pkg.dir("JuliaFEM")*meshfile)
# field problem
block = Problem(Elasticity, "BLOCK", 2)
block.properties.formulation = :plane_stress
block.properties.finite_strain = false
block.properties.geometric_stiffness = false
block.elements = create_elements(mesh, "BLOCK")
update!(block.elements, "youngs modulus", 288.0)
update!(block.elements, "poissons ratio", 1/3)
update!(block.elements, "displacement load 2", 576.0)
traction = create_elements(mesh, "TOP")
update!(traction, "displacement traction force 2", 288.0)
push!(block, traction...)
# boundary conditions
bc_sym = Problem(Dirichlet, "symmetry bc", 2, "displacement")
bc_elements_left = create_elements(mesh, "LEFT")
bc_elements_bottom = create_elements(mesh, "BOTTOM")
update!(bc_elements_left, "displacement 1", 0.0)
update!(bc_elements_bottom, "displacement 2", 0.0)
push!(bc_sym, bc_elements_left..., bc_elements_bottom...)
solver = Solver("solve block problem")
push!(solver, block, bc_sym)
call(solver)
f = 288.0
g = 576.0
E = 288.0
nu = 1/3
u3_expected = f/E*[-nu, 1] + g/(2*E)*[-nu, 1]
u3 = reshape(block.assembly.u, 2, 4)[:,3]
info("u3 = $u3")
@test isapprox(u3, u3_expected)
info("strain")
for ip in get_integration_points(block.elements[1])
eps = ip("strain")
@printf "%i | %8.3f %8.3f | %8.3f %8.3f %8.3f\n" ip.id ip.coords[1] ip.coords[2] eps[1] eps[2] eps[3]
@test isapprox(eps, [u3; 0.0])
end
# info("stress")
# for ip in get_integration_points(elements[1])
# sig = ip("stress")
# @printf "%i | %8.3f %8.3f | %8.3f %8.3f %8.3f\n" ip.id ip.coords[1] ip.coords[2] sig[1] sig[2] sig[3]
# @test isapprox(sig, [0.0; g; 0.0])
# end
end