# This file is a part of JuliaFEM. # License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md using JuliaFEM.Test using JuliaFEM.Core: Node, update!, Quad4, Seg2, Hex8, Problem, Elasticity, Solver, Dirichlet using JuliaFEM.Preprocess: aster_parse_nodes @testset "test 2d linear elasticity with surface load" begin nodes = Dict{Int64, Node}( 1 => [0.0, 0.0], 2 => [1.0, 0.0], 3 => [1.0, 1.0], 4 => [0.0, 1.0]) E = 288.0 nu = 1.0/3.0 f = -E/10.0 expected = f/E*[-nu, 1] # field problem element1 = Quad4([1, 2, 3, 4]) element2 = Seg2([3, 4]) update!([element1, element2], "geometry", nodes) update!(element1, "youngs modulus", E) update!(element1, "poissons ratio", nu) # update!(element2, "displacement traction force", [0.0, f]) update!(element2, "displacement traction force", Vector{Float64}[[0.0, f], [0.0, f]]) # type, name, dimension elasticity_problem = Problem(Elasticity, "block", 2) elasticity_problem.properties.formulation = :plane_stress push!(elasticity_problem, element1, element2) # boundary condition, displacement symmetry sym13 = Seg2([1, 2]) sym23 = Seg2([4, 1]) update!([sym13, sym23], "geometry", nodes) update!(sym13, "displacement 2", 0.0) update!(sym23, "displacement 1", 0.0) # type, name, dimension, unknown_field_name boundary_problem = Problem(Dirichlet, "symmetry boundaries", 2, "displacement") push!(boundary_problem, sym13, sym23) solver = Solver("solve block problem") solver.is_linear_system = true # to get linear solution push!(solver, elasticity_problem) push!(solver, boundary_problem) call(solver) element1 = elasticity_problem.elements[1] u_disp = element1("displacement", [1.0, 1.0], 0.0) info("Displacement = $u_disp") @test isapprox(u_disp, expected) end @testset "test 2d nonlinear elasticity with surface load" begin nodes = Dict{Int64, Node}( 1 => [0.0, 0.0], 2 => [1.0, 0.0], 3 => [0.0, 1.0], 4 => [1.0, 1.0]) element1 = Quad4([1, 2, 4, 3]) update!(element1, "geometry", nodes) element1["youngs modulus"] = 900.0 element1["poissons ratio"] = 0.25 element2 = Seg2([3, 4]) update!(element2, "geometry", nodes) element2["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]] elasticity_problem = Problem(Elasticity, "bock", 2) elasticity_problem.properties.formulation = :plane_stress push!(elasticity_problem, element1, element2) # boundary condition, displacement symmetry sym13 = Seg2([1, 2]) sym23 = Seg2([3, 1]) update!([sym13, sym23], "geometry", nodes) update!(sym13, "displacement 2", 0.0) update!(sym23, "displacement 1", 0.0) # type, name, dimension, unknown_field_name boundary_problem = Problem(Dirichlet, "symmetry boundaries", 2, "displacement") push!(boundary_problem, sym13, sym23) solver = Solver("solve block problem") push!(solver, elasticity_problem) push!(solver, boundary_problem) call(solver) element1 = elasticity_problem.elements[1] u_disp = element1("displacement", [1.0, 1.0], 0.0) # verified using Code Aster. u_expected = [3.17431158889468E-02, -1.38591518927826E-01] info("Displacement = $u_disp") @test isapprox(u_disp, u_expected) end @testset "test continuum 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 = Hex8([1, 2, 3, 4, 5, 6, 7, 8]) element2 = Quad4([5, 6, 7, 8]) update!([element1, element2], "geometry", nodes) update!([element1], "youngs modulus", 900.0) update!([element1], "poissons ratio", 0.25) update!([element2], "displacement traction force", Vector{Float64}[[0.0, 0.0, -100.0] for i=1:4]) elasticity_problem = Problem(Elasticity, "solve continuum block", 3) push!(elasticity_problem, element1) push!(elasticity_problem, element2) symxy = Quad4([1, 2, 3, 4]) symxz = Quad4([1, 2, 6, 5]) symyz = Quad4([1, 4, 8, 5]) update!([symxy, symxz, symyz], "geometry", nodes) symxy["displacement 3"] = 0.0 symxz["displacement 2"] = 0.0 symyz["displacement 1"] = 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") # verified using Code Aster. # 2015-12-12-continuum-elasticity/vim c3d_grot_gdep_traction_force.comm @test isapprox(disp, [3.17431158889468E-02, 3.17431158889468E-02, -1.38591518927826E-01]) end