mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
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Jukka Aho
44 lines
1.6 KiB
Julia
44 lines
1.6 KiB
Julia
# This file is a part of JuliaFEM.
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# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
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"""
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Small `Hex8` brick: `ContinuumKernel` + `PenaltyDirichlet` on `xmin` + nodal
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`z` load, direct sparse solve, relative residual check.
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"""
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using Test
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using JuliaFEM
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using JuliaFEM: ContinuumKernel, ContinuumFormulation, FullThreeD, LinearElastic
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using JuliaFEM: DOFBasedCOOAssembler, DOFBasedCOOCache, assemble!, extract_system
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using JuliaFEM: PenaltyDirichlet, apply_constraint!, apply_load!, NodalForce
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using JuliaFEM: @DOFSet, DOF, Displacement, Vertex, Hex8
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using LinearAlgebra
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include("solve_brick_helpers.jl")
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@testset "ContinuumKernel: brick direct solve (xmin fixed + uz load)" begin
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mesh = brick_hex_mesh(2, 2, 2)
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S = @DOFSet{u::DOF{Displacement{3}, Vertex}}
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elements, handler = create_elements!(mesh, Element{Hex8, Lagrange{1}, S})
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kernel = ContinuumKernel(ContinuumFormulation{FullThreeD}(), LinearElastic(E = 210e9, ν = 0.3))
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asm = DOFBasedCOOAssembler()
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cache = DOFBasedCOOCache(elements, handler, mesh, kernel)
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assemble!(cache, asm, kernel, mesh)
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K, f = extract_system(cache)
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fill!(f, 0.0)
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u_fix = collect_vertex_dofs_on_nodeset(handler, mesh, :xmin)
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uz = interior_uz_dof_index(handler, mesh)
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λ = 1.0e14
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bc = PenaltyDirichlet(u_fix, zeros(Float64, length(u_fix)); penalty = λ)
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apply_load!(f, NodalForce([uz], [1.0e4]), cache, asm, kernel, mesh)
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Kc = copy(K)
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apply_constraint!(Kc, bc)
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uc = Kc \ f
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@test all(isfinite, uc)
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ru = norm(Kc * uc - f) / max(norm(f), 1.0)
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@test ru < 1.0e-8
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@test maximum(abs.(uc[u_fix])) < 1.0e-4
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end
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