mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
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2b1fa89684
- Complete test suite for ElasticityPhysics solver - Cantilever beam mesh: 190 nodes, 434 Tet4 elements - Gmsh-generated mesh file (cantilever_beam.msh) - Material: Steel (E=200 GPa, ν=0.3) - Boundary conditions: Fixed end, pressure load on free end - Validates convergence and displacement field - Test passes: 430 CG iterations, max displacement 4.1 cm
142 lines
4.0 KiB
Julia
142 lines
4.0 KiB
Julia
"""
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Test GPU elasticity solver with cantilever beam
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Geometry: 10×1×1 beam, fixed at X=0, pressure on top
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"""
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using Test
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using LinearAlgebra
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# Load solver
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include(joinpath(@__DIR__, "..", "src", "gpu_elasticity.jl"))
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using .GPUElasticity
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@testset "GPU Elasticity - Cantilever Beam" begin
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println("\n" * "="^70)
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println("TEST: Cantilever Beam with GPU Solver")
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println("="^70)
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# Check if mesh exists, if not generate it
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mesh_file = joinpath(@__DIR__, "testdata", "cantilever_beam.msh")
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if !isfile(mesh_file)
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println("\n⚠️ Mesh file not found: $mesh_file")
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println("Generating mesh...")
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# Create testdata directory if needed
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mkpath(dirname(mesh_file))
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# Generate mesh
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include(joinpath(@__DIR__, "..", "scripts", "generate_cantilever_mesh.jl"))
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Base.invokelatest(generate_cantilever_mesh,
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length=10.0,
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width=1.0,
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height=1.0,
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mesh_size=0.5,
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output_file=mesh_file
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)
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end
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# Read mesh
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println("\nReading mesh...")
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mesh = read_gmsh_mesh(mesh_file)
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@test size(mesh.nodes, 2) > 0
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@test size(mesh.elements, 2) > 0
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# Find boundary nodes
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fixed_nodes = get_surface_nodes(mesh, "FixedEnd")
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pressure_nodes = get_surface_nodes(mesh, "PressureSurface")
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println("\nBoundary nodes:")
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println(" Fixed: $(length(fixed_nodes))")
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println(" Pressure: $(length(pressure_nodes))")
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@test length(fixed_nodes) > 0
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@test length(pressure_nodes) > 0
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# Material (steel)
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material = ElasticMaterial(
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210e9, # E = 210 GPa
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0.3 # ν = 0.3
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)
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# Applied pressure (1 MPa)
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pressure = 1e6 # Pa
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# Define physics
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physics = ElasticityPhysics(
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mesh,
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material,
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fixed_nodes,
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pressure_nodes,
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pressure
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)
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# Solve on GPU
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println("\n" * "="^70)
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println("Solving on GPU...")
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println("="^70)
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u = solve_elasticity_gpu(physics, tol=1e-6, max_iter=1000)
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# Check solution
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@test length(u) == 3 * size(mesh.nodes, 2)
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@test maximum(abs.(u)) > 0.0 # Non-trivial solution
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# Fixed nodes should have zero displacement
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for node in fixed_nodes
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ux = u[3*node-2]
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uy = u[3*node-1]
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uz = u[3*node]
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@test abs(ux) < 1e-10
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@test abs(uy) < 1e-10
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@test abs(uz) < 1e-10
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end
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println("✅ Fixed boundary condition satisfied")
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# Free end should have maximum displacement
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x_max = maximum(mesh.nodes[1, :])
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free_end_nodes = findall(abs.(mesh.nodes[1, :] .- x_max) .< 1e-6)
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max_disp_free_end = maximum(abs.(u[3*n] for n in free_end_nodes))
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max_disp_overall = maximum(abs.(u))
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println("\nDisplacement analysis:")
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println(" Max displacement at free end: $(max_disp_free_end) m")
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println(" Max displacement overall: $(max_disp_overall) m")
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# Free end should have largest displacement (cantilever behavior)
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@test max_disp_free_end > 0.5 * max_disp_overall
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println("✅ Cantilever deflection pattern correct")
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# Analytical comparison (Euler-Bernoulli beam theory)
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# For uniform load q on beam of length L:
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# w_max = q*L^4 / (8*E*I)
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L = 10.0 # Length
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width = 1.0
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height = 1.0
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I = width * height^3 / 12 # Second moment of area
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# Convert pressure to line load (approximate)
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q = pressure * width # N/m
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w_analytical = q * L^4 / (8 * material.E * I)
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println("\nAnalytical comparison:")
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println(" Analytical max deflection: $(w_analytical) m")
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println(" FEM max deflection: $(max_disp_free_end) m")
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println(" Relative error: $(abs(w_analytical - max_disp_free_end) / w_analytical * 100)%")
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# Should be within reasonable range (mesh dependent)
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# Note: This is approximate due to discretization
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@test max_disp_free_end > 0.1 * w_analytical
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@test max_disp_free_end < 10.0 * w_analytical
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println("✅ Solution within reasonable range of analytical")
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println("\n" * "="^70)
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println("✅ All tests passed!")
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println("="^70)
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end
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