From 07adb1c58839e0cb2f498b6fcac177fbf4123efd Mon Sep 17 00:00:00 2001 From: Jukka Aho Date: Wed, 30 May 2018 11:52:01 +0300 Subject: [PATCH] Improve documentation (#199) Let's use Literate.jl to automatically generate usage examples. * Automatically generate documentation from other packages (first try to include each package's docs/src/index.md, but if that fails, then use README.md to introduce the package). * Add example how to calculate local element matrices. * Add example how to perform 2d contact analysis. --- .gitignore | 2 + docs/make.jl | 138 ++++++++--- examples/2d_hertz_contact.jl | 221 ++++++++++++++++++ .../2d_hertz_contact}/hertz_2d_full.med | Bin examples/2d_hertz_contact/model.png | Bin 0 -> 25956 bytes .../2d_hertz_contact/results_displacement.png | Bin 0 -> 140881 bytes examples/generate_stiffness_matrices.jl | 19 ++ test/test_problems_contact_2d.jl | 175 -------------- test/test_problems_contact_2d/block_2d.med | Bin 18949 -> 0 bytes test/test_problems_contact_2d_hertz_1.jl | 86 ------- .../hertz_2d_full.med | Bin 33476 -> 0 bytes 11 files changed, 349 insertions(+), 292 deletions(-) create mode 100644 examples/2d_hertz_contact.jl rename {test/test_problems_contact_2d => examples/2d_hertz_contact}/hertz_2d_full.med (100%) create mode 100644 examples/2d_hertz_contact/model.png create mode 100644 examples/2d_hertz_contact/results_displacement.png create mode 100644 examples/generate_stiffness_matrices.jl delete mode 100644 test/test_problems_contact_2d.jl delete mode 100644 test/test_problems_contact_2d/block_2d.med delete mode 100644 test/test_problems_contact_2d_hertz_1.jl delete mode 100644 test/test_problems_contact_2d_hertz_1/hertz_2d_full.med diff --git a/.gitignore b/.gitignore index d09cfac..db3a5e9 100644 --- a/.gitignore +++ b/.gitignore @@ -3,6 +3,8 @@ .ipynb_checkpoints docs/build/ docs/site/ +docs/src/examples +docs/src/packages *.swp *.lnk *.mess diff --git a/docs/make.jl b/docs/make.jl index 6769363..54288e0 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -3,24 +3,59 @@ using Documenter, JuliaFEM +if !haskey(Pkg.installed(), "Literate") + Pkg.add("Literate") +end +using Literate + +if haskey(ENV, "TRAVIS") && get(ENV, "INSTALL_PYPLOT", "false") == "true" + info("inside TRAVIS, installing PyPlot + matplotlib") + Pkg.add("PyPlot") + run(`pip install matplotlib`) +end + """ copy_docs(pkg_name) Copy documentation of some package `pkg_name` to `docs/src/pkg_name`, where `pkg_name` is the name of package. Return true if success, false otherwise. + +If package is undocumented, i.e. directory `docs/src` is missing, +but there still exists `README.md`, copy that file to +`docs/src/pkg_name/index.md`. """ function copy_docs(pkg_name) - src = joinpath(Pkg.dir(pkg_name), "docs", "src") - if !isdir(src) - warn("Cannot copy documentation of package $pkg_name from $src: ", - "No such directory exists. (Is the package in REQUIRE of JuliaFEM?)") - return false + + src_dir = Pkg.dir(pkg_name, "docs", "src") + pkg_dir = Pkg.dir("JuliaFEM", "docs", "src", "packages") + dst_dir = joinpath(pkg_dir, pkg_name) + isdir(pkg_dir) || mkpath(pkg_dir) + + # if can find pkg_name/docs/src => + # copy that to docs/src/packages/pkg_name + if isdir(src_dir) + isdir(dst_dir) || cp(src_dir, dst_dir) + info("Copied documentation of package $pkg_name from $src_dir succesfully.") + return true end - dst = joinpath(Pkg.dir("JuliaFEM"), "docs", "src", pkg_name) - cp(src, dst; remove_destination=true) - info("Copied documentation of package $pkg_name from $src succesfully.") - return true + + # if can find pkg_name/README.md => + # copy that to docs/src/packages/pkg_name/index.md + readme_file = Pkg.dir(pkg_name, "README.md") + if isfile(readme_file) + isdir(dst_dir) || mkpath(dst_dir) + dst_file = joinpath(dst_dir, "index.md") + isfile(dst_file) || cp(readme_file, dst_file) + info("Copied README.md of package $pkg_name from $readme_file succesfully.") + return true + end + + warn("Cannot copy documentation of package $pkg_name from $src_dir: ", + "No such directory exists. (Is the package in REQUIRE of JuliaFEM?)") + + return false + end """ @@ -48,22 +83,19 @@ add_page!(PACKAGES, "Theory" => "MyPackage/theory.md") """ function add_page!(dst, src) file = isa(src, Pair) ? src.second : src - if !isfile(joinpath(Pkg.dir("JuliaFEM"), "docs", "src", file)) - warn("Cannot add page $file: no such file") - return false + src_dir = Pkg.dir("JuliaFEM", "docs", "src") + if isfile(joinpath(src_dir, file)) + push!(dst, src) + return true end - push!(dst, src) - return true + if isfile(joinpath(src_dir, "packages", file)) + push!(dst, joinpath("packages", src)) + return true + end + warn("Cannot add page $file: no such file") + return false end -#= -if haskey(ENV, "TRAVIS") - println("inside TRAVIS, installing PyPlot + matplotlib") - Pkg.add("PyPlot") - run(`pip install matplotlib`) -end -=# - USER_GUIDE = [] # Developer's guide is published in FEMBase.jl @@ -82,18 +114,61 @@ if copy_docs("FEMBase") end # Let's construct here some description for packages + PACKAGES = [] +copy_docs("FEMBase") && add_page!(PACKAGES, "FEMBase/index.md") +copy_docs("FEMBasis") && add_page!(PACKAGES, "FEMBasis/index.md") +copy_docs("FEMQuad") && add_page!(PACKAGES, "FEMQuad/index.md") +copy_docs("FEMSparse") && add_page!(PACKAGES, "FEMSparse/index.md") +copy_docs("Materials") && add_page!(PACKAGES, "Materials/index.md") +copy_docs("AsterReader") && add_page!(PACKAGES, "AsterReader/index.md") +copy_docs("AbaqusReader") && add_page!(PACKAGES, "AbaqusReader/index.md") +copy_docs("LinearImplicitDynamics") && add_page!(PACKAGES, "LinearImplicitDynamics/index.md") +copy_docs("HeatTransfer") && add_page!(PACKAGES, "HeatTransfer/index.md") +copy_docs("PlaneElasticity") && add_page!(PACKAGES, "PlaneElasticity/index.md") +copy_docs("FEMBeam") && add_page!(PACKAGES, "FEMBeam/index.md") +copy_docs("FEMCoupling") && add_page!(PACKAGES, "FEMCoupling/index.md") +copy_docs("FEMTruss") && add_page!(PACKAGES, "FEMTruss/index.md") +copy_docs("Mortar2D") && add_page!(PACKAGES, "Mortar2D/index.md") +copy_docs("Mortar3D") && add_page!(PACKAGES, "Mortar3D/index.md") +copy_docs("MortarContact2D") && add_page!(PACKAGES, "MortarContact2D/index.md") +copy_docs("MortarContact2DAD") && add_page!(PACKAGES, "MortarContact2DAD/index.md") +copy_docs("OptoMechanics") && add_page!(PACKAGES, "OptoMechanics/index.md") +copy_docs("Miniball") && add_page!(PACKAGES, "Miniball/index.md") +copy_docs("ModelReduction") && add_page!(PACKAGES, "ModelReduction/index.md") +copy_docs("NodeNumbering") && add_page!(PACKAGES, "NodeNumbering/index.md") +#copy_docs("Xdmf") && add_page!(PACKAGES, "Xdmf/index.md") +copy_docs("UMAT") && add_page!(PACKAGES, "UMAT/index.md") -if copy_docs("FEMQuad") - add_page!(PACKAGES, "FEMQuad/index.md") +# Generate examples using Literate.jl + +function license_stripper(s) + # return replace(s, r"# This file is a part of JuliaFEM.*?\n\n"sm, "") + lines = split(s, '\n') + function myfilt(line) + contains(line, "# This file is a part of JuliaFEM.") && return false + contains(line, "# License is MIT") && return false + return true + end + new_s = join(filter(myfilt, lines), '\n') + return new_s end - -if copy_docs("FEMBasis") - add_page!(PACKAGES, "FEMBasis/index.md") -end - -if copy_docs("HeatTransfer") - add_page!(PACKAGES, "HeatTransfer/index.md") +EXAMPLES = [] +docs_src = Pkg.dir("JuliaFEM", "docs", "src") +ex_src = Pkg.dir("JuliaFEM", "examples") +ex_dst = joinpath(docs_src, "examples") +for ex_file in readdir(ex_src) + endswith(ex_file, ".jl") || continue + startswith(ex_file, "test_") && continue + dst_file = Literate.markdown(joinpath(ex_src, ex_file), ex_dst; + documenter=true, preprocess=license_stripper) + ex_dir = joinpath(ex_src, first(splitext(ex_file))) + dst_ex_dir = joinpath(ex_dst, first(splitext(ex_file))) + if isdir(ex_dir) && !isdir(dst_ex_dir) + info("Copy $ex_dir to $dst_ex_dir") + cp(ex_dir, dst_ex_dir) + end + add_page!(EXAMPLES, relpath(dst_file, docs_src)) end # API documentation @@ -103,6 +178,7 @@ LIBRARY = ["api.md"] PAGES = [] push!(PAGES, "Home" => "index.md") #push!(PAGES, "User's guide" => USER_GUIDE) +push!(PAGES, "Examples" => EXAMPLES) push!(PAGES, "Developer's guide" => DEVELOPER_GUIDE) push!(PAGES, "Description of packages" => PACKAGES) #push!("API documentation" => LIBRARY) diff --git a/examples/2d_hertz_contact.jl b/examples/2d_hertz_contact.jl new file mode 100644 index 0000000..4dcbe7f --- /dev/null +++ b/examples/2d_hertz_contact.jl @@ -0,0 +1,221 @@ +# This file is a part of JuliaFEM. +# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md + +# # 2D Hertz contact problem + +# ![](2d_hertz_contact/model.png) + +# In the example, a cylinder is pressed agains block with a force of 35 kN. +# A similar example can be found from NAFEMS report FENET D3613 (advanced +# finite element contact benchmarks). +# +# Solution for maximum pressure ``p_0`` and contact radius ``a`` is +# ```math +# p_{0} = \sqrt{\frac{FE}{2\pi R}}, \\ +# a = \sqrt{\frac{8FR}{\pi E}}, +# ``` +# where +# +# ```math +# E = \frac{2E_{1}E_{2}}{E_{2}\left(1-\nu_{1}^{2}\right)+E_{1}\left(1-\nu_{2}^{2}\right)}. +# ``` +# +# Substituting values, one gets accurate solution to be ``p_0 = 3585 \;\mathrm{MPa}`` and +# ``a = 6.21 \;\mathrm{mm}``. + +using JuliaFEM +using JuliaFEM.Preprocess +using JuliaFEM.Postprocess +using Logging +Logging.configure(level=INFO) +add_elements! = JuliaFEM.add_elements! + +# Simulation starts by reading the mesh. Model is constructed and meshed using +# SALOME, thus mesh format is .med. Mesh type is quite simple structure, +# containing things like `mesh.nodes`, `mesh.elements` and so on. Keep on mind, +# that Mesh contains only standard Julia types and we think it as a structure +# helping us to construct elements needed in simulation. In principle, we don't +# need to use `Mesh` in simulation anyway if we figure some other way to define +# the geometry for elements. + +datadir = Pkg.dir("JuliaFEM", "examples", "2d_hertz_contact") +meshfile = joinpath(datadir, "hertz_2d_full.med") +mesh = aster_read_mesh(meshfile) +for (elset_name, element_ids) in mesh.element_sets + nel = length(element_ids) + println("Element set $elset_name contains $nel elements.") +end +for (nset_name, node_ids) in mesh.node_sets + nno = length(node_ids) + println("Node set $nset_name contains $nno nodes.") +end +nnodes = length(mesh.nodes) +println("Total number of nodes in mesh: $nnodes") +nelements = length(mesh.elements) +println("Total number of elements in mesh: $nelements") + +# Next, define two bodies. Technically, we could have only one problem and add +# elements from both bodies to the same problem, but defining two different +# problems is recommended for clarity. Plain strain assumption is used. +# To make clear what is happening here: we first create a set of elements +# (elements are in vector called `upper_elements`), then we define new +# problem which type is `Elasticity`, give it some meaningful name (this time +# `cylinder`), and last value 2 means that problems does have two degrees of +# freedom per node. + +upper_elements = create_elements(mesh, "CYLINDER") +update!(upper_elements, "youngs modulus", 70.0e3) +update!(upper_elements, "poissons ratio", 0.3) +upper = Problem(Elasticity, "cylinder", 2) +upper.properties.formulation = :plane_strain +add_elements!(upper, upper_elements) + +lower_elements = create_elements(mesh, "BLOCK") +update!(lower_elements, "youngs modulus", 210.0e3) +update!(lower_elements, "poissons ratio", 0.3) +lower = Problem(Elasticity, "block", 2) +lower.properties.formulation = :plane_strain +add_elements!(lower, lower_elements) + +# Next we define some boundary conditions: creating "boundary" problems goes +# in the same way than defining "field" problems, the only difference is that +# we add extra argument giving what field are we tring to fix. This time, +# we have 2 dofs / node and we fix displacement in direction 2. + +bc_fixed_elements = create_elements(mesh, "FIXED") +update!(bc_fixed_elements, "displacement 2", 0.0) +bc_fixed = Problem(Dirichlet, "fixed", 2, "displacement") +add_elements!(bc_fixed, bc_fixed_elements) + +# Defining symmetry boundary condition goes with the same idea + +bc_sym_23_elements = create_elements(mesh, "SYM23") +update!(bc_sym_23_elements, "displacement 1", 0.0) +bc_sym_23 = Problem(Dirichlet, "symmetry line 23", 2, "displacement") +add_elements!(bc_sym_23, bc_sym_23_elements) + +# Next we define point load. To define that, we first need to find some node +# near the top of cylinder, using function `find_nearest_node`. Then we create +# a new problem, again of type Elasticity. Like told already, we don't need to +# use `Mesh` if we have some other procedure to define the geometry of the +# element (and it's connectivity, of course). So we can directly create an +# element of type `Poi1`, meaning 1-node point element, update it's geometry +# and apply 35.0e3 kN load in negative y-direction: + +nid = find_nearest_node(mesh, [0.0, 100.0]) +load = Problem(Elasticity, "point load", 2) +load.properties.formulation = :plane_strain +load.elements = [Element(Poi1, [nid])] +update!(load.elements, "geometry", mesh.nodes) +update!(load.elements, "displacement traction force 2", -35.0e3) + +# Next, we define another boudary problem, this time the type of problem is +# Contact2D, which is a mortar contact formulation for two dimensions. +# Elements are added using `add_slave_elements!` and `add_master_elements!`. +# Problems, in general, can have some properties defined, like the formulation +# in `Elasticity` (we also have `:plane_stress`). For contact, we need to swap +# normal direction for meshes created by SALOME because in Code Aster, element +# orientation is defined opposite to what is used in ABAQUS, and in JuliaFEM in +# general we follow the same conventions what are used in ABAQUS. + +contact = Problem(Contact2D, "contact", 2, "displacement") +contact.properties.rotate_normals = true +contact_slave_elements = create_elements(mesh, "BLOCK_TO_CYLINDER") +contact_master_elements = create_elements(mesh, "CYLINDER_TO_BLOCK") +add_master_elements!(contact, contact_master_elements) +add_slave_elements!(contact, contact_slave_elements) + +# After all problems are defined, we define some `Analysis`, which can be e.g. +# static analysis, dynamic analysis, modal analysis, linear perturbation +# analysis and so on. Here, the analysis type is `Nonlinear`, which is nonlinear +# quasistatic analysis. In the same manner as we do `add_elements!` to add +# elements to `Problem`, we use `add_problems!` to add problems to analysis. +# Because we are not restricted to some particular input and output formats, +# we "connect" a `ResultsWriter` to our analysis, this time we want to visualize +# results using ParaView, thus we write our results to Xdmf format, which uses +# well defined standards XML and HDF to store model data. + +step = Analysis(Nonlinear) +add_problems!(step, [upper, lower, bc_fixed, bc_sym_23, load, contact]) +xdmf = Xdmf("2d_hertz_results"; overwrite=true) +## todo for 2d +## for body in (upper, lower) +## push!(body.postprocess_fields, "stress") +## end +add_results_writer!(step, xdmf) + +# In last part, we run the analysis. + +step() + +# # Results + +# Results are stored in `2d_hertz_results.xmf` and `2d_hertz_results.h5` for +# visual inspection. We can also postprocess results programmatically because +# we are inside a real scripting / programming environment all the time. For +# example, we can integrate the resultant force in normal and tangential direction +# in contact surface to validate our result. + +Rn = 0.0 +Rt = 0.0 +time = 0.0 +for sel in contact_slave_elements + for ip in get_integration_points(sel) + w = ip.weight*sel(ip, time, Val{:detJ}) + n = sel("normal", ip, time) + t = sel("tangent", ip, time) + la = sel("lambda", ip, time) + Rn += w*dot(n, la) + Rt += w*dot(t, la) + end +end + +println("2d hertz contact resultant forces: Rn = $Rn, Rt = $Rt") + +using Base.Test +@test isapprox(Rn, 35.0e3) +@test isapprox(Rt, 0.0) + +# Visualization of the results can be done using ParaView: +# ![](2d_hertz_contact/results_displacement.png) + +# For optimization loops, we want to programmatically find, for example, maximum +# contact pressure. We can, for example, get all the values in nodes: + +lambda = contact("lambda", time) +normal = contact("normal", time) +p0 = 0.0 +p0_acc = 3585.0 +for (nid, n) in normal + lan = dot(n, lambda[nid]) + println("$nid => $lan") + p0 = max(p0, lan) +end +p0 = round(p0, 2) +rtol = round(norm(p0-p0_acc)/max(p0,p0_acc)*100, 2) +println("Maximum contact pressure p0 = $p0, p0_acc = $p0_acc, rtol = $rtol %") + +# To get rough approximation where does the contact open, we can find the element +# from slave contact surface, where contact pressure is zero in the other node +# and something nonzero in the other node. + +a_rad = 0.0 +for element in contact_slave_elements + la1, la2 = element("lambda", time) + p1, p2 = norm(la1), norm(la2) + a, b = isapprox(p1, 0.0), isapprox(p2, 0.0) + if (a && !b) || (b && !a) + X1, X2 = element("geometry", time) + println("Contact opening element geometry: X1 = $X1, X2 = $X2") + println("Contact opening element lambda: la1 = $la1, la2 = $la2") + x11, y11 = X1 + x12, y12 = X2 + a_rad = 1/2*abs(x11+x12) + break + end +end +println("Contact radius: $a_rad") + +# This example briefly described some of the core features of JuliaFEM. + +close(xdmf.hdf) # src diff --git a/test/test_problems_contact_2d/hertz_2d_full.med b/examples/2d_hertz_contact/hertz_2d_full.med similarity index 100% rename from test/test_problems_contact_2d/hertz_2d_full.med rename to examples/2d_hertz_contact/hertz_2d_full.med diff --git a/examples/2d_hertz_contact/model.png b/examples/2d_hertz_contact/model.png new file mode 100644 index 0000000000000000000000000000000000000000..e7ecd68c90eb8c7c7cd3c1d53dad329eacdc24d4 GIT binary patch literal 25956 zcmeFZWmJ`I+b&9XNH-`*DAL{1N+U>jcXx_(iy(+Jh%`*PVFJ>P#FTE3?v8a&9-rs+ z-Ru3<`u18s_Mgod48}dVu`v1IR}*O2 zb_kXPAJqa>5y$8;tk6;ttD-*{jZRvw*r%J%*}bNk<+dYeAWM&?d8s)agg-VClECRh zPWaw%e!;oR*qAIOql?6QzRYUe1Jr$Xc*tj;!N*|?iv#?SkiwGzf8yHMKo5uH|KAprOu=>I6$!8o{chtH+uC zMDFe>u8}%j=qU5!o1}wFS?;Q{ah6OH`G?s<_FlR&x?bokDc&Mqf2fDygzYO~VuU?R$ 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https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md + +# # Generating local matrices for problems + +using JuliaFEM + +# Plane stress Quad4 element with linear material model: + +X = Dict(1 => [0.0, 0.0], 2 => [2.0, 0.0], 3 => [2.0, 2.0], 4 => [0.0, 2.0]) +element = Element(Quad4, [1, 2, 3, 4]) +update!(element, "geometry", X) +update!(element, "youngs modulus", 288.0) +update!(element, "poissons ratio", 1/3) +problem = Problem(Elasticity, "test problem", 2) +problem.properties.formulation = :plane_stress +add_elements!(problem, [element]) +assemble!(problem, 0.0) +K = round.(full(problem.assembly.K), 5) diff --git a/test/test_problems_contact_2d.jl b/test/test_problems_contact_2d.jl deleted file mode 100644 index f17f14c..0000000 --- a/test/test_problems_contact_2d.jl +++ /dev/null @@ -1,175 +0,0 @@ -# This file is a part of JuliaFEM. -# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md - -using JuliaFEM -using JuliaFEM.Preprocess -using JuliaFEM.Postprocess -using JuliaFEM.Testing - -testdir = joinpath(Pkg.dir("JuliaFEM"), "test") -datadir = first(splitext(basename(@__FILE__))) - -@testset "hertz contact, full 2d model, linear elements, flat slave surface" begin - meshfile = joinpath(testdir, datadir, "hertz_2d_full.med") - mesh = aster_read_mesh(meshfile) - - upper = Problem(Elasticity, "CYLINDER", 2) - upper.properties.formulation = :plane_strain - upper.elements = create_elements(mesh, "CYLINDER") - update!(upper, "youngs modulus", 70.0e3) - update!(upper, "poissons ratio", 0.3) - - lower = Problem(Elasticity, "BLOCK", 2) - lower.properties.formulation = :plane_strain - lower.elements = create_elements(mesh, "BLOCK") - update!(lower, "youngs modulus", 210.0e3) - update!(lower, "poissons ratio", 0.3) - - # support block to ground - bc_fixed = Problem(Dirichlet, "fixed", 2, "displacement") - bc_fixed.elements = create_elements(mesh, "FIXED") - update!(bc_fixed, "displacement 2", 0.0) - - # symmetry line - bc_sym_23 = Problem(Dirichlet, "symmetry line 23", 2, "displacement") - bc_sym_23.elements = create_elements(mesh, "SYM23") - update!(bc_sym_23, "displacement 1", 0.0) - - nid = find_nearest_node(mesh, [0.0, 100.0]) - #load = Problem(Dirichlet, "load", 2, "displacement") - load = Problem(Elasticity, "point load", 2) - load.properties.formulation = :plane_strain - load.elements = [Element(Poi1, [nid])] - #update!(load.elements, "displacement 2", -10.0) - update!(load, "displacement traction force 2", -35.0e3) - - contact = Problem(Contact2D, "contact between block and cylinder", 2, "displacement") - contact.properties.rotate_normals = true - contact_slave_elements = create_elements(mesh, "BLOCK_TO_CYLINDER") - contact_master_elements = create_elements(mesh, "CYLINDER_TO_BLOCK") - add_master_elements!(contact, contact_master_elements) - add_slave_elements!(contact, contact_slave_elements) - - solver = Solver(Nonlinear) - push!(solver, upper, lower, bc_fixed, bc_sym_23, load, contact) - solver() - - node_ids, la = get_nodal_vector(contact_slave_elements, "lambda", 0.0) - node_ids, n = get_nodal_vector(contact_slave_elements, "normal", 0.0) - pres = [dot(ni, lai) for (ni, lai) in zip(n, la)] - #@test isapprox(maximum(pres), 4060.010799583303) - # 12 % error in maximum pressure - # integrate pressure in normal and tangential direction - Rn = 0.0 - Rt = 0.0 - Q = [0.0 -1.0; 1.0 0.0] - time = 0.0 - for sel in contact_slave_elements - for ip in get_integration_points(sel) - w = ip.weight*sel(ip, time, Val{:detJ}) - n = sel("normal", ip, time) - t = Q'*n - la = sel("lambda", ip, time) - Rn += w*dot(n, la) - Rt += w*dot(t, la) - end - end - info("2d hertz: Rn = $Rn, Rt = $Rt") - info("2d hertz: maximum pressure pmax = ", maximum(pres)) - @test isapprox(maximum(pres), 3585.0; rtol = 0.13) - # under 0.15 % error in resultant force - @test isapprox(Rn, 35.0e3; rtol=0.020) - @test isapprox(Rt, 0.0; atol=200.0) -end - -function get_model() - meshfile = joinpath(testdir, datadir, "block_2d.med") - mesh = aster_read_mesh(meshfile) - println(mesh.nodes[1]) - - upper = Problem(mesh, Elasticity, "UPPER", 2) - lower = Problem(mesh, Elasticity, "LOWER", 2) - - for body in [upper, lower] - body.properties.formulation = :plane_stress - update!(body, "youngs modulus", 288.0) - update!(body, "poissons ratio", 1/3) - end - - load = Problem(mesh, Elasticity, "UPPER_TOP", 2) - load.properties.formulation = :plane_stress - update!(load, "displacement traction force 2", -28.8) - bc1 = Problem(mesh, Dirichlet, "LOWER_BOTTOM", 2, "displacement") - update!(bc1, "displacement 2", 0.0) - bc2 = Problem(mesh, Dirichlet, "LOWER_LEFT", 2, "displacement") - update!(bc2, "displacement 1", 0.0) - bc3 = Problem(mesh, Dirichlet, "UPPER_LEFT", 2, "displacement") - update!(bc3, "displacement 1", 0.0) - - interface = Problem(Contact2D, "interface", 2, "displacement") - interface.properties.rotate_normals = true - interface_slave_elements = create_elements(mesh, "LOWER_TOP") - interface_master_elements = create_elements(mesh, "UPPER_BOTTOM") - add_master_elements!(interface, interface_master_elements) - add_slave_elements!(interface, interface_slave_elements) - - # in LOWER_LEFT we have node belonging also to contact interface - # let's remove it from dirichlet bc - create_node_set_from_element_set!(mesh, "LOWER_LEFT") - nid = find_nearest_node(mesh, [0.0, 0.5]; node_set="LOWER_LEFT") - coords = mesh.nodes[nid] - info("nearest node to (0.0, 0.5) = $nid, coordinates = $coords") - dofs = [2*(nid-1)+1, 2*(nid-1)+2] - info("removing nid $nid, dofs $dofs from LOWER_LEFT") - push!(bc2.assembly.removed_dofs, dofs...) - - solver = Solver(Nonlinear) - #push!(solver, upper, lower, load, bc1, interface) - push!(solver, upper, lower, load, bc1, bc2, bc3, interface) - return solver -end - -@testset "small sliding 2d patch test, linear Seg2 elements, standard basis" begin - - solver = get_model() - interface = solver["interface"] - solver() - - node_ids, displacement = get_nodal_vector(interface.elements, "displacement", 0.0) - node_ids, geometry = get_nodal_vector(interface.elements, "geometry", 0.0) - node_ids, lambda = get_nodal_vector(interface.elements, "lambda", 0.0) - u2 = [u[2] for u in displacement] - f2 = [f[2] for f in lambda] - maxabsu2 = maximum(abs.(u2)) - stdabsu2 = std(abs.(u2)) - info("max(abs(u2)) = $maxabsu2, std(abs(u2)) = $stdabsu2") - @test isapprox(stdabsu2, 0.0; atol=1.0e-12) - maxabsf2 = maximum(abs.(f2)) - stdabsf2 = std(abs.(f2)) - info("max(abs(f2)) = $maxabsf2, std(abs(f2)) = $stdabsf2") - @test isapprox(stdabsf2, 0.0; atol=1.0e-12) - @test isapprox(mean(abs.(f2)), 28.8; atol=1.0e-12) -end - -@testset "small sliding 2d patch test, linear Seg2 elements, dual basis" begin - - solver = get_model() - interface = solver["interface"] - interface.properties.dual_basis = true - solver() - - node_ids, displacement = get_nodal_vector(interface.elements, "displacement", 0.0) - node_ids, geometry = get_nodal_vector(interface.elements, "geometry", 0.0) - node_ids, lambda = get_nodal_vector(interface.elements, "lambda", 0.0) - u2 = [u[2] for u in displacement] - f2 = [f[2] for f in lambda] - maxabsu2 = maximum(abs.(u2)) - stdabsu2 = std(abs.(u2)) - info("max(abs(u2)) = $maxabsu2, std(abs(u2)) = $stdabsu2") - @test isapprox(stdabsu2, 0.0; atol=1.0e-12) - maxabsf2 = maximum(abs.(f2)) - stdabsf2 = std(abs.(f2)) - info("max(abs(f2)) = $maxabsf2, std(abs(f2)) = $stdabsf2") - @test isapprox(stdabsf2, 0.0; atol=1.0e-12) - @test isapprox(mean(abs.(f2)), 28.8; atol=1.0e-12) -end diff --git a/test/test_problems_contact_2d/block_2d.med b/test/test_problems_contact_2d/block_2d.med deleted file mode 100644 index 55e8b7a7287238055ab3c65ebfa5276f488d735a..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 18949 zcmeGk3vg7`^=!h1Bm_tTC;<$K5hO+=KR$vQlI+`j*dMzaej))vp&vnvLSanLxu4yA``+$8UUplO$(^~m zZ|^<#+;h)4@7#0Gy)Ub4ZT6n&1JaXHQ$eOSk*xK+rdTw*-q!mbcdgBvl=sEvS(8Ka 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