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https://github.com/JuliaFEM/JuliaFEM.jl.git
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2d tie contact working.
This commit is contained in:
Jukka Aho
+233
-21
@@ -6,8 +6,9 @@ module MortarTests
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using JuliaFEM
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using JuliaFEM.Test
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using JuliaFEM: MSeg2, Seg2, MortarProblem, MortarEquation, MortarElement, Assembly, assemble!
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using JuliaFEM: get_basis, grad, project_from_slave_to_master, project_from_master_to_slave
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using JuliaFEM: Seg2, MortarProblem, MortarEquation, MortarElement, Assembly, assemble!, Element
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using JuliaFEM: get_basis, grad, project_from_slave_to_master, project_from_master_to_slave, Quad4
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using JuliaFEM: PlaneStressElasticityProblem, DirichletProblem, DirectSolver
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function get_test_2d_model()
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# this is hand calculated and given as an example in my thesis
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@@ -17,22 +18,24 @@ function get_test_2d_model()
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[0.0, 1.0], [5/4, 1.0], [2.0, 1.0],
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[0.0, 1.0], [3/4, 1.0], [2.0, 1.0]]
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rotation_matrix(phi) = [cos(phi) -sin(phi); sin(phi) cos(phi)]
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slave1 = MSeg2([10, 11])
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master1 = Seg2([7, 8])
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master1["geometry"] = Vector[N[7], N[8]]
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master2 = Seg2([8, 9])
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master2["geometry"] = Vector[N[8], N[9]]
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slave1 = Seg2([10, 11])
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slave1["geometry"] = Vector[N[10], N[11]]
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# should be n = [0 -1]' and t = [1 0]'
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slave1["nodal ntsys"] = Matrix[rotation_matrix(-pi/2), rotation_matrix(-pi/2)]
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slave2 = MSeg2([11, 12])
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slave1["master elements"] = Element[master1, master2]
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slave2 = Seg2([11, 12])
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slave2["geometry"] = Vector[N[11], N[12]]
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# should be n = [0 -1]' and t = [1 0]'
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slave2["nodal ntsys"] = Matrix[rotation_matrix(-pi/2), rotation_matrix(-pi/2)]
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master1 = MSeg2([7, 8])
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master1["geometry"] = Vector[N[7], N[8]]
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master2 = MSeg2([8, 9])
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master2["geometry"] = Vector[N[8], N[9]]
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push!(slave1.master_elements, master1)
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push!(slave1.master_elements, master2)
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push!(slave2.master_elements, master1)
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push!(slave2.master_elements, master2)
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slave2["master elements"] = Element[master1, master2]
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return [slave1, slave2], [master1, master2]
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end
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@@ -57,13 +60,36 @@ function test_calc_flat_2d_projection()
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@test X1 == [5/4, 1.0]
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end
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function test_calc_flat_2d_projection_rotated()
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master1 = Seg2([3, 4])
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master1["geometry"] = Vector{Float64}[[0.0, 1.0], [0.0, 0.0]]
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slave1 = Seg2([1, 2])
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slave1["geometry"] = Vector{Float64}[[0.0, 0.0], [0.0, 1.0]]
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slave1["nodal ntsys"] = Matrix{Float64}[[1.0 0.0; 0.0 1.0], [1.0 0.0; 0.0 1.0]]
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xi = project_from_master_to_slave(slave1, master1, [-1.0])
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info("xi = $xi")
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@test xi == [ 1.0]
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xi = project_from_master_to_slave(slave1, master1, [1.0])
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info("xi = $xi")
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@test xi == [-1.0]
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xi = project_from_slave_to_master(slave1, master1, [-1.0])
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info("xi = $xi")
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@test xi == [ 1.0]
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xi = project_from_slave_to_master(slave1, master1, [1.0])
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info("xi = $xi")
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@test xi == [-1.0]
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end
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function test_create_flat_2d_assembly()
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slaves, masters = get_test_2d_model()
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slave1, slave2 = slaves
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master1, master2 = masters
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info("creating problem")
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problem = MortarProblem()
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problem = MortarProblem("temperature", 1)
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info("pushing slave elements to problem")
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push!(problem, slave1)
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push!(problem, slave2)
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@@ -77,7 +103,7 @@ function test_create_flat_2d_assembly()
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info("creating assembly")
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assembly = Assembly()
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assemble!(assembly, problem.equations[1], 0.0, problem)
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B = round(full(assembly.lhs, 12, 12), 6)
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B = round(full(assembly.stiffness_matrix, 12, 12), 6)
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info("size of B = $(size(B))")
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info("B matrix in first slave element = \n$(B[10:11,:])")
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info("B matrix expected = \n$(B_expected[10:11,:])")
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@@ -95,7 +121,7 @@ function test_create_flat_2d_assembly()
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B_expected[S3,S3] += [9/100 27/200; 27/200 39/100]
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B_expected[S3,M3] -= [3/20 3/40; 9/40 3/10]
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assemble!(assembly, problem.equations[2], 0.0, problem)
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B = full(assembly.lhs)
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B = full(assembly.stiffness_matrix)
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info("size of B = $(size(B))")
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info("B matrix in second slave element = \n$(B[11:12,:])")
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info("B matrix expected = \n$(B_expected[11:12,:])")
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@@ -103,16 +129,202 @@ function test_create_flat_2d_assembly()
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@test isapprox(B, B_expected)
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end
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function test_patch_test_heat_2d()
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function test_2d_mortar_multiple_bodies_multiple_dirichlet_bc()
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N = Vector[
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[0.0, 0.0], [1.0, 0.0],
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[0.0, 1.0], [1.0, 1.0],
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[0.0, 1.0], [1.0, 1.0],
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[0.0, 2.0], [1.0, 2.0]]
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e1 = Quad4([1, 2, 4, 3])
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e1["geometry"] = Vector[N[1], N[2], N[4], N[3]]
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e2 = Quad4([5, 6, 8, 7])
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e2["geometry"] = Vector[N[5], N[6], N[8], N[7]]
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for el in [e1, e2]
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el["youngs modulus"] = 900.0
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el["poissons ratio"] = 0.25
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end
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b1 = Seg2([7, 8])
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b1["geometry"] = Vector[N[7], N[8]]
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b1["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]]
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slaves, masters = get_test_2d_model()
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problem2 = MortarProblem()
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for slave in slaves:
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push!(problem2, slave)
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body1 = PlaneStressElasticityProblem()
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push!(body1, e1)
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body2 = PlaneStressElasticityProblem()
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push!(body2, e2)
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push!(body2, b1)
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# boundary elements for dirichlet dx=0
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dx1 = Seg2([1, 3])
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dx1["geometry"] = Vector[N[1], N[3]]
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dx2 = Seg2([5, 7])
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dx2["geometry"] = Vector[N[5], N[7]]
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for dx in [dx1, dx2]
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dx["displacement 1"] = 0.0
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end
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boundary1 = DirichletProblem("displacement", 2)
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push!(boundary1, dx1)
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push!(boundary1, dx2)
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# boundary elements for dirichlet dy=0
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dy1 = Seg2([1, 2])
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dy1["geometry"] = Vector[N[1], N[2]]
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dy1["displacement 2"] = 0.0
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boundary2 = DirichletProblem("displacement", 2)
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push!(boundary2, dy1)
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# mortar boundary between two bodies
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rotation_matrix(phi) = [cos(phi) -sin(phi); sin(phi) cos(phi)]
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master1 = Seg2([3, 4])
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master1["geometry"] = Vector[N[3], N[4]]
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slave1 = Seg2([5, 6])
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slave1["geometry"] = Vector[N[5], N[6]]
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slave1["nodal ntsys"] = Matrix[rotation_matrix(-pi/2), rotation_matrix(-pi/2)]
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slave1["master elements"] = Element[master1]
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boundary3 = MortarProblem("displacement", 2)
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push!(boundary3, slave1)
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solver = DirectSolver()
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push!(solver, body1)
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push!(solver, body2)
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push!(solver, boundary1)
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push!(solver, boundary2)
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push!(solver, boundary3)
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# launch solver
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norm = solver(0.0)
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disp = e2("displacement", [1.0, 1.0], 0.0)
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info("displacement at tip: $disp")
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# code aster verification, two_elements.comm
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@test isapprox(disp, [3.17431158889468E-02, -2.77183037855653E-01])
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end
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function test_2d_mortar_three_bodies_shared_nodes()
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N = Vector[
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[0.0, 0.0], [2.0, 0.0],
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[0.0, 1.0], [2.0, 1.0],
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[0.0, 1.0], [1.0, 1.0],
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[0.0, 2.0], [1.0, 2.0],
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[1.0, 1.0], [2.0, 1.0],
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[1.0, 2.0], [2.0, 2.0]]
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e1 = Quad4([1, 2, 4, 3])
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e1["geometry"] = Vector[N[1], N[2], N[4], N[3]]
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e2 = Quad4([5, 6, 8, 7])
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e2["geometry"] = Vector[N[5], N[6], N[8], N[7]]
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e3 = Quad4([9, 10, 12, 11])
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e3["geometry"] = Vector[N[9], N[10], N[12], N[11]]
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for el in [e1, e2, e3]
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el["youngs modulus"] = 900.0
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el["poissons ratio"] = 0.25
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end
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b1 = Seg2([7, 8])
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b1["geometry"] = Vector[N[7], N[8]]
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b1["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]]
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b2 = Seg2([11, 12])
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b2["geometry"] = Vector[N[11], N[12]]
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b2["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]]
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body1 = PlaneStressElasticityProblem()
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push!(body1, e1)
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body2 = PlaneStressElasticityProblem()
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push!(body2, e2)
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push!(body2, b1)
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body3 = PlaneStressElasticityProblem()
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push!(body3, e3)
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push!(body3, b2)
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# boundary elements for dirichlet dx=0
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dx1 = Seg2([1, 3])
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dx1["geometry"] = Vector[N[1], N[3]]
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dx2 = Seg2([5, 7])
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dx2["geometry"] = Vector[N[5], N[7]]
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for dx in [dx1, dx2]
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dx["displacement 1"] = 0.0
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end
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bc1 = DirichletProblem("displacement", 2)
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push!(bc1, dx1)
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push!(bc1, dx2)
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# boundary elements for dirichlet dy=0
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dy1 = Seg2([1, 2])
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dy1["geometry"] = Vector[N[1], N[2]]
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dy1["displacement 2"] = 0.0
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bc2 = DirichletProblem("displacement", 2)
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push!(bc2, dy1)
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# mortar boundary between body 1 and body 2
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rotation_matrix(phi) = [cos(phi) -sin(phi); sin(phi) cos(phi)]
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master1 = Seg2([3, 4])
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master1["geometry"] = Vector[N[3], N[4]]
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slave1 = Seg2([5, 6])
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slave1["geometry"] = Vector[N[5], N[6]]
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slave1["nodal ntsys"] = Matrix[rotation_matrix(-pi/2), rotation_matrix(-pi/2)]
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slave1["master elements"] = Element[master1]
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bc3 = MortarProblem("displacement", 2)
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push!(bc3, slave1)
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# mortar boundary between body 1 and body 3
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slave2 = Seg2([9, 10])
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slave2["geometry"] = Vector[N[9], N[10]]
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slave2["nodal ntsys"] = Matrix[rotation_matrix(-pi/2), rotation_matrix(-pi/2)]
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slave2["master elements"] = Element[master1]
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bc4 = MortarProblem("displacement", 2)
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push!(bc4, slave2)
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# mortar boundary between body 2 and body 3
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master2 = Seg2([9, 11])
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master2["geometry"] = Vector[N[9], N[11]]
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slave3 = Seg2([6, 8])
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slave3["geometry"] = Vector[N[6], N[8]]
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#slave3["nodal ntsys"] = Matrix[rotation_matrix(-pi/2), rotation_matrix(-pi/2)]
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slave3["nodal ntsys"] = Matrix[rotation_matrix(0.0), rotation_matrix(0.0)]
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slave3["master elements"] = Element[master2]
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bc5 = MortarProblem("displacement", 2)
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push!(bc5, slave3)
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solver = DirectSolver()
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push!(solver, body1)
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push!(solver, body2)
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push!(solver, body3)
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push!(solver, bc1)
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push!(solver, bc2)
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push!(solver, bc3)
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push!(solver, bc4)
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push!(solver, bc5)
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# launch solver
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norm = solver(0.0)
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disp = e2("displacement", [1.0, 1.0], 0.0)
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info("displacement at tip: $disp")
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# code aster verification, two_elements.comm
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@test isapprox(disp, [3.17431158889468E-02, -2.77183037855653E-01])
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end
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end
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+73
-4
@@ -67,6 +67,7 @@ function test_simplesolver()
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info("Temperature at point X = $X is T = $T")
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@test isapprox(T, 100.0)
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end
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#test_simplesolver()
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function atest_direct_solver()
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@@ -190,13 +191,13 @@ function test_solver_multiple_dirichlet_bc()
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b1["geometry"] = Vector[N[3], N[4]]
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b1["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]]
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#free_dofs = [3, 5, 6, 8]
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free_dofs = [3, 6, 7, 8]
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problem = PlaneStressElasticityProblem()
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push!(problem, e1)
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push!(problem, b1)
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# manually solve problem 1
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# free_dofs = [3, 5, 6, 8]
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# free_dofs = [3, 6, 7, 8]
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#solve!(problem, free_dofs, 0.0; max_iterations=10)
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#disp = e1("displacement", [1.0, 1.0], 0.0)
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#info("displacement at tip: $disp")
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@@ -214,21 +215,89 @@ function test_solver_multiple_dirichlet_bc()
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problem2 = DirichletProblem("displacement", 2)
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push!(problem2, dx)
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push!(problem2, dy)
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problem3 = DirichletProblem("displacement", 2)
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push!(problem3, dy)
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solver = DirectSolver()
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push!(solver, problem)
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push!(solver, problem2)
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push!(solver, problem3)
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# launch solver
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norm = solver(0.0)
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# info(e1("displacement"))
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# info(last(e1["displacement"]))
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disp = e1("displacement", [1.0, 1.0], 0.0)
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info("displacement at tip: $disp")
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@test isapprox(disp, [3.17431158889468E-02, -1.38591518927826E-01])
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end
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# test_solver_multiple_dirichlet_bc()
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function test_solver_multiple_bodies_multiple_dirichlet_bc()
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N = Vector[
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[0.0, 0.0], [1.0, 0.0],
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[0.0, 1.0], [1.0, 1.0],
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[0.0, 2.0], [1.0, 2.0]]
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e1 = Quad4([1, 2, 4, 3])
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e1["geometry"] = Vector[N[1], N[2], N[4], N[3]]
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e2 = Quad4([3, 4, 6, 5])
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e2["geometry"] = Vector[N[3], N[4], N[6], N[5]]
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for el in [e1, e2]
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el["youngs modulus"] = 900.0
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el["poissons ratio"] = 0.25
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end
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b1 = Seg2([5, 6])
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b1["geometry"] = Vector[N[5], N[6]]
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b1["displacement traction force"] = Vector[[0.0, -100.0], [0.0, -100.0]]
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body1 = PlaneStressElasticityProblem()
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push!(body1, e1)
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body2 = PlaneStressElasticityProblem()
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push!(body2, e2)
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push!(body2, b1)
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# boundary elements for dirichlet dx=0
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dx1 = Seg2([1, 3])
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dx1["geometry"] = Vector[N[1], N[3]]
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dx2 = Seg2([3, 5])
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dx2["geometry"] = Vector[N[3], N[5]]
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for dx in [dx1, dx2]
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dx["displacement 1"] = 0.0
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end
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boundary1 = DirichletProblem("displacement", 2)
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push!(boundary1, dx1)
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push!(boundary1, dx2)
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# boundary elements for dirichlet dy=0
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dy1 = Seg2([1, 2])
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dy1["geometry"] = Vector[N[1], N[2]]
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dy1["displacement 2"] = 0.0
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boundary2 = DirichletProblem("displacement", 2)
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push!(boundary2, dy1)
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solver = DirectSolver()
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push!(solver, body1)
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push!(solver, body2)
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push!(solver, boundary1)
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push!(solver, boundary2)
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# launch solver
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norm = solver(0.0)
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disp = e2("displacement", [1.0, 1.0], 0.0)
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info("displacement at tip: $disp")
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# code aster verification, two_elements.comm
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@test isapprox(disp, [3.17431158889468E-02, -2.77183037855653E-01])
|
||||
|
||||
end
|
||||
|
||||
# test_solver_multiple_bodies_multiple_dirichlet_bc()
|
||||
|
||||
end
|
||||
|
||||
Reference in New Issue
Block a user