JuliaFEM.jl/test/test_problems_contact_3d.jl

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md

using JuliaFEM, Statistics, Test

tet4_meshfile = "test_problems_contact_3d/tet4.inp"
tet10_meshfile = "test_problems_contact_3d/tet10.inp"

function get_model(meshfile)
    mesh = abaqus_read_mesh(meshfile)

    upper = Problem(Elasticity, "UPPER", 3)
    upper_elements = create_elements(mesh, "UPPER")
    update!(upper_elements, "youngs modulus", 3*288.0)
    update!(upper_elements, "poissons ratio", 1/3)
    add_elements!(upper, upper_elements)

    lower = Problem(Elasticity, "LOWER", 3)
    lower_elements = create_elements(mesh, "LOWER")
    update!(lower_elements, "youngs modulus", 288.0)
    update!(lower_elements, "poissons ratio", 1/3)
    add_elements!(lower, lower_elements)

    bc_upper = Problem(Dirichlet, "UPPER_TOP", 3, "displacement")
    bc_upper_elements = create_surface_elements(mesh, "UPPER_TOP")
    update!(bc_upper_elements, "displacement 3", -0.4)
    add_elements!(bc_upper, bc_upper_elements)

    bc_lower = Problem(Dirichlet, "LOWER_BOTTOM", 3, "displacement")
    bc_lower_elements = create_surface_elements(mesh, "LOWER_BOTTOM")
    update!(bc_lower_elements, "displacement 3", 0.0)
    add_elements!(bc_lower, bc_lower_elements)

    # point-wise boundary conditions to prevent free body move
    nid1 = find_nearest_nodes(mesh, [0.0, 0.0, 0.0])[1]
    nid2 = find_nearest_nodes(mesh, [1.0, 0.0, 0.0])[1]
    nid3 = find_nearest_nodes(mesh, [0.0, 1.0, 0.0])[1]
    nid4 = find_nearest_nodes(mesh, [0.0, 0.0, 1.0])[1]
    nid5 = find_nearest_nodes(mesh, [1.0, 0.0, 1.0])[1]
    nid6 = find_nearest_nodes(mesh, [0.0, 1.0, 1.0])[1]

    bc_sym13 = Problem(Dirichlet, "SYM13", 3, "displacement")
    # nodes in X2=0 plane
    bc_sym13_elements = [Element(Poi1, [j]) for j in [nid1, nid2, nid4, nid5]]
    update!(bc_sym13_elements, "geometry", mesh.nodes)
    update!(bc_sym13_elements, "displacement 2", 0.0)
    add_elements!(bc_sym13, bc_sym13_elements)

    bc_sym23 = Problem(Dirichlet, "SYM23", 3, "displacement")
    # nodes in X1=0 plane
    bc_sym23_elements = [Element(Poi1, [j]) for j in [nid1, nid3, nid4, nid6]]
    update!(bc_sym23_elements, "geometry", mesh.nodes)
    update!(bc_sym23_elements, "displacement 1", 0.0)
    add_elements!(bc_sym23, bc_sym23_elements)

    interface = Problem(Contact, "LOWER_TO_UPPER", 3, "displacement")
    interface_slave_elements = create_surface_elements(mesh, "LOWER_TO_UPPER")
    interface_master_elements = create_surface_elements(mesh, "UPPER_TO_LOWER")
    update!(interface_slave_elements, "master elements", interface_master_elements)
    add_elements!(interface, interface_slave_elements, interface_master_elements)
    interface.properties.contact_state_in_first_iteration = :AUTO

    #append!(bc_sym13.assembly.removed_dofs, [1316, 1319, 1388, 1358])
    #append!(bc_sym23.assembly.removed_dofs, [1492, 1627, 1387, 1597])
    #append!(interface.assembly.removed_dofs, [1316, 1319, 1358, 1387, 1388, 1492, 1597, 1627])

    analysis = Analysis(Nonlinear)
    add_problems!(analysis, upper, lower, bc_upper, bc_lower, bc_sym13, bc_sym23, interface)
#    solver.properties.max_iterations = 5

    return analysis
end

## small sliding contact patch test, tet4 + standard basis
analysis = get_model(tet4_meshfile)
xdmf = Xdmf("contact_sl_lin_disp_results"; overwrite=true)
add_results_writer!(analysis, xdmf)
interface = get_problem(analysis, "LOWER_TO_UPPER")
interface.properties.dual_basis = false
run!(analysis)
u = interface("displacement", 0.0)
X = interface("geometry", 0.0)
# test postprocess of fields
postprocess!(interface, 0.0, Val{Symbol("contact pressure")})
contact_pressure = interface("contact pressure", 0.0)
@debug("Contact pressure in interface", contact_pressure)
u3 = [u[3] for u in values(u)]
maxabsu3 = maximum(abs.(u3))
stdabsu3 = std(abs.(u3))
maxpres = maximum(values(contact_pressure))
stdpres = std(values(contact_pressure))
@debug("max(abs(u3)) = $maxabsu3, std(abs(u3)) = $stdabsu3")
@debug("max(contact_pressure) = $maxpres, std(contact_pressure) = $stdpres")
@test isapprox(stdabsu3, 0.0; atol=1.0e-12)
@test isapprox(maxpres, 172.8; atol=1.0e-6)


## small sliding contact patch test, tet4 + dual basis
analysis = get_model(tet4_meshfile)
xdmf = Xdmf("contact_dl_lin_disp_results"; overwrite=true)
add_results_writer!(analysis, xdmf)
interface = get_problem(analysis, "LOWER_TO_UPPER")
interface.properties.dual_basis = true
run!(analysis)
u = interface("displacement", 0.0)
X = interface("geometry", 0.0)
u3 = [u[3] for u in values(u)]
maxabsu3 = maximum(abs.(u3))
stdabsu3 = std(abs.(u3))
@debug("max(abs(u3)) = $maxabsu3, std(abs(u3)) = $stdabsu3")
@test isapprox(stdabsu3, 0.0; atol=1.0e-12)


## small sliding contact patch test, tet10 + standard basis
analysis = get_model(tet10_meshfile)
xdmf = Xdmf("contact_sl_quad_disp_results"; overwrite=true)
add_results_writer!(analysis, xdmf)
interface = get_problem(analysis, "LOWER_TO_UPPER")
interface.properties.dual_basis = false
run!(analysis)
u = interface("displacement", 0.0)
X = interface("geometry", 0.0)
u3 = [u[3] for u in values(u)]
maxabsu3 = maximum(abs.(u3))
stdabsu3 = std(abs.(u3))
@debug("max(abs(u3)) = $maxabsu3, std(abs(u3)) = $stdabsu3")
@test isapprox(stdabsu3, 0.0; atol=1.0e-10)


## small sliding contact patch test, tet10 + dual basis, alpha=0.2
analysis = get_model(tet10_meshfile)
xdmf = Xdmf("contact_dl_quad_disp_results"; overwrite=true)
add_results_writer!(analysis, xdmf)
interface = get_problem(analysis, "LOWER_TO_UPPER")
interface.properties.dual_basis = true
interface.properties.alpha = 0.2
run!(analysis)
u = interface("displacement", 0.0)
X = interface("geometry", 0.0)
u3 = [u[3] for u in values(u)]
maxabsu3 = maximum(abs.(u3))
stdabsu3 = std(abs.(u3))
@debug("max(abs(u3)) = $maxabsu3, std(abs(u3)) = $stdabsu3")
@test isapprox(stdabsu3, 0.0; atol=1.0e-10)