mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-12 06:22:00 +00:00
3d tie contact with multiple boundaries, shared nodes etc.
This commit is contained in:
Jukka Aho
@@ -1000,6 +1000,307 @@
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" style=\"width:80%; height:auto; vertical-align:middle;\">"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Several contacts with shared nodes"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"INFO: Found 12 element sets: BLOCK4_TO_BLOCK3, SYM12, SYM23, BLOCK4_TO_BLOCK2, BLOCK3_TO_BLOCK4, BLOCK1_TO_BLOCK3, SYM13, LOAD, BLOCK1_TO_BLOCK2, BLOCK2_TO_BLOCK4, BLOCK2_TO_BLOCK1, BLOCK3_TO_BLOCK1\n"
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]
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},
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{
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"data": {
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"text/plain": [
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"Dict{ASCIIString,Any} with 2 entries:\n",
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" \"nodes\" => Dict(306=>[0.0,0.8469606634303125,0.4191161978569679],29=>[…\n",
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" \"connectivity\" => Dict(2843=>(:TE4,:OTHER,[631,574,595,513]),1316=>(:TR3,:SYM…"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"using JuliaFEM\n",
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"using JuliaFEM.Preprocess: parse_aster_med_file\n",
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"using JuliaFEM.Core: LinearElasticityProblem, DirichletProblem, get_connectivity, Tri3, Tet4, LinearSolver, update\n",
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"mesh = parse_aster_med_file(Pkg.dir(\"JuliaFEM\")*\"/geometry/unit_box/SUPERBLOCK.med\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"INFO: created 2878 elements.\n",
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"INFO: created 403 boundary elements.\n"
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]
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}
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],
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"source": [
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"# interior elements are of type HE8\n",
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"field_problem = LinearElasticityProblem()\n",
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"\n",
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"for (elid, (eltype, elset, elcon)) in mesh[\"connectivity\"]\n",
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" eltype == :TE4 || continue\n",
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" element = Tet4(elcon)\n",
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" update(element, \"geometry\", mesh[\"nodes\"])\n",
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" element[\"youngs modulus\"] = 900.0\n",
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" element[\"poissons ratio\"] = 0.25\n",
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" #info(\"lower: add element with connectivity $elcon\")\n",
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" push!(field_problem, element)\n",
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"end\n",
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"\n",
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"# Neumann boundary condition, traction force -100 on Z direction for element set LOAD\n",
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"for (elid, (eltype, elset, elcon)) in mesh[\"connectivity\"]\n",
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" (eltype == :TR3) && (elset == :LOAD) || continue\n",
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" element = Tri3(elcon)\n",
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" update(element, \"geometry\", mesh[\"nodes\"])\n",
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" element[\"displacement traction force 3\"] = -100.0\n",
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" push!(field_problem, element)\n",
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"end\n",
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"info(\"created $(length(field_problem.elements)) elements.\")\n",
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"\n",
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"# boundary conditions\n",
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"boundary_problem = DirichletProblem(\"displacement\", 3)\n",
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"\n",
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"for (elid, (eltype, elset, elcon)) in mesh[\"connectivity\"]\n",
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" (eltype == :TR3) && (elset in [:SYM23, :SYM12, :SYM13]) || continue\n",
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" element = Tri3(elcon)\n",
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" update(element, \"geometry\", mesh[\"nodes\"])\n",
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" if elset == :SYM23\n",
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" element[\"displacement 1\"] = 0.0\n",
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" elseif elset == :SYM12\n",
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" element[\"displacement 3\"] = 0.0\n",
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" elseif elset == :SYM13\n",
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" element[\"displacement 2\"] = 0.0\n",
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" end\n",
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" push!(boundary_problem, element)\n",
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"end\n",
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"info(\"created $(length(boundary_problem.elements)) boundary elements.\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Contact pairs: BLOCK1 <-> BLOCK3, BLOCK1 <-> BLOCK2, BLOCK2 <-> BLOCK4, BLOCK3 <-> BLOCK4"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"using JuliaFEM.Core: Element, MortarProblem, calculate_normal_tangential_coordinates!\n",
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"\n",
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"function create_contact(master_surface, slave_surface)\n",
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"\n",
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" master_elements = JuliaFEM.Core.Element[]\n",
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" for (elid, (eltype, elset, elcon)) in mesh[\"connectivity\"]\n",
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" (eltype == :TR3) && (elset == master_surface) || continue\n",
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" element = Tri3(elcon)\n",
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" update(element, \"geometry\", mesh[\"nodes\"])\n",
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" push!(master_elements, element)\n",
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" end\n",
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"\n",
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" contact_problem = MortarProblem(\"displacement\", 3)\n",
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" for (elid, (eltype, elset, elcon)) in mesh[\"connectivity\"]\n",
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" (eltype == :TR3) && (elset == slave_surface) || continue\n",
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" element = Tri3(reverse(elcon))\n",
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" update(element, \"geometry\", mesh[\"nodes\"])\n",
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" element[\"master elements\"] = master_elements\n",
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" calculate_normal_tangential_coordinates!(element, 0.0)\n",
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" push!(contact_problem, element)\n",
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" end\n",
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"\n",
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" return contact_problem\n",
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"end\n",
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"\n",
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"tie1 = create_contact(:BLOCK1_TO_BLOCK3, :BLOCK3_TO_BLOCK1)\n",
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"tie2 = create_contact(:BLOCK1_TO_BLOCK2, :BLOCK2_TO_BLOCK1)\n",
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"tie3 = create_contact(:BLOCK2_TO_BLOCK4, :BLOCK4_TO_BLOCK2)\n",
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"tie4 = create_contact(:BLOCK3_TO_BLOCK4, :BLOCK4_TO_BLOCK3);"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"INFO: # of field problems: 1\n",
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"INFO: # of boundary problems: 5\n",
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"INFO: Starting iteration 1\n",
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"INFO: Assembling field problems...\n",
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"INFO: Assembling body 1...\n",
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"INFO: Assembly: 10.0 % done. \n",
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"INFO: Assembly: 20.0 % done. \n",
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"INFO: Assembly: 30.0 % done. \n",
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"INFO: Assembly: 40.0 % done. \n",
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"INFO: Assembly: 50.0 % done. \n",
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"INFO: Assembly: 60.0 % done. \n",
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"INFO: Assembly: 70.0 % done. \n",
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"INFO: Assembly: 80.0 % done. \n",
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"INFO: Assembly: 90.0 % done. \n",
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"INFO: Assembly: 100.0 % done. \n",
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"INFO: dim = 2562\n",
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"INFO: Assembling boundary problems...\n",
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"INFO: Assembling boundary 1...\n",
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"INFO: Assembly: 10.0 % done. \n",
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"INFO: Assembly: 20.0 % done. \n",
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"INFO: Assembly: 30.0 % done. \n",
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"INFO: Assembly: 40.0 % done. \n",
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"INFO: Assembly: 50.0 % done. \n",
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"INFO: Assembly: 60.0 % done. \n",
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"INFO: Assembly: 70.0 % done. \n",
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"INFO: Assembly: 80.0 % done. \n",
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"INFO: Assembly: 90.0 % done. \n",
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"INFO: Assembly: 100.0 % done. \n",
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"INFO: Assembling boundary 2...\n",
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"INFO: Assembling boundary 3...\n",
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"INFO: Assembling boundary 4...\n",
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"INFO: Assembling boundary 5...\n",
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"INFO: dumping matrices to disk, file = matrices_tie_contact_3d_host_1_iteration_1.jld\n",
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"INFO: Solving system\n",
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"INFO: UMFPACK: solved in 0.2858870029449463 seconds. norm = 1.9710688787586395\n",
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"INFO: timing info for iteration:\n",
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"INFO: boundary assembly : 10.795902967453003\n",
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"INFO: field assembly : 1.356456995010376\n",
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"INFO: dump matrices to disk : 1.1161930561065674\n",
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"INFO: solve problem : 0.4241180419921875\n",
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"INFO: update element data : 0.05763602256774902\n",
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"INFO: non-linear iteration : 13.75032901763916\n",
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"INFO: solver finished in 13.92406702041626 seconds.\n",
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"INFO: nid near corner = 502\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n",
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"INFO: displacement X = [1.0,1.0,1.0], u = [0.027777977912483327,0.02776944079303928,-0.11111675469425412]\n"
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]
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}
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],
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"source": [
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"using JuliaFEM.Core: DirectSolver\n",
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"solver = DirectSolver()\n",
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"solver.name = \"tie_contact_3d\"\n",
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"solver.method = :UMFPACK\n",
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"solver.nonlinear_problem = false\n",
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"solver.max_iterations = 1\n",
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"solver.dump_matrices = true\n",
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"push!(solver, field_problem)\n",
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"push!(solver, boundary_problem)\n",
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"push!(solver, tie1, tie2, tie3, tie4)\n",
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"call(solver, 0.0)\n",
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"\n",
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"using JuliaFEM.Test\n",
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"\n",
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"nid = 0\n",
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"for (nid, coords) in mesh[\"nodes\"]\n",
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" if isapprox(coords, [1.0, 1.0, 1.0])\n",
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" info(\"nid near corner = $nid\")\n",
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" break\n",
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" end\n",
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"end\n",
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"nid\n",
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"\n",
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"known_value = [1/36, 1/36, -1/9]\n",
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"\n",
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"for element in field_problem.elements\n",
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" i = indexin([nid], get_connectivity(element))[1]\n",
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" i != 0 || continue\n",
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" X = element(\"geometry\", 0.0)\n",
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" u = element(\"displacement\", 0.0)\n",
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" info(\"displacement X = $(X[i]), u = $(u[i])\")\n",
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" @test isapprox(u[i], known_value, atol=1.0e-3)\n",
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"end"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"INFO: XDFM: ndim = 2562\n"
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]
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}
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],
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"source": [
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"xdoc, xmodel = JuliaFEM.Postprocess.xdmf_new_model()\n",
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"coll = JuliaFEM.Postprocess.xdmf_new_temporal_collection(xmodel)\n",
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"grid = JuliaFEM.Postprocess.xdmf_new_grid(coll; time=0.0)\n",
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"\n",
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"Xg = Dict{Int64, Vector{Float64}}()\n",
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"ug = Dict{Int64, Vector{Float64}}()\n",
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"for element in field_problem.elements\n",
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" conn = get_connectivity(element)\n",
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" X = element(\"geometry\", 0.0)\n",
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" u = element(\"displacement\", 0.0)\n",
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" for (i, c) in enumerate(conn)\n",
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" Xg[c] = X[i]\n",
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" ug[c] = u[i]\n",
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" end\n",
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"end\n",
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"perm = sort(collect(keys(Xg)))\n",
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"nodes = Vector{Float64}[Xg[i] for i in perm]\n",
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"disp = Vector{Float64}[ug[i] for i in perm]\n",
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"elements = []\n",
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"for el in field_problem.elements\n",
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" isa(el, JuliaFEM.Core.Element{JuliaFEM.Core.Tet4}) || continue\n",
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" push!(elements, (:Tet4, get_connectivity(el)))\n",
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"end\n",
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"#elements\n",
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"JuliaFEM.Postprocess.xdmf_new_mesh!(grid, nodes, elements)\n",
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"JuliaFEM.Postprocess.xdmf_new_nodal_field!(grid, \"displacement\", disp)\n",
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"JuliaFEM.Postprocess.xdmf_save_model(xdoc, \"/tmp/superblock.xmf\");"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<img src=\"http://results.juliafem.org/2015-12-17-superblock.png\"\n",
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" style=\"width:80%; height:auto; vertical-align:middle;\">"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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