Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F78457347
hybrid-elastic.cpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Wed, Aug 21, 00:18
Size
13 KB
Mime Type
text/x-c
Expires
Fri, Aug 23, 00:18 (2 d)
Engine
blob
Format
Raw Data
Handle
20049219
Attached To
rGOOSEFEM GooseFEM
hybrid-elastic.cpp
View Options
#include <catch2/catch.hpp>
#include <xtensor/xrandom.hpp>
#include <xtensor/xmath.hpp>
#include <Eigen/Eigen>
#include <GooseFEM/GooseFEM.h>
#include <GMatElastic/Cartesian3d.h>
#define ISCLOSE(a,b) REQUIRE_THAT((a), Catch::WithinAbs((b), 1.0e-12));
TEST_CASE("hybrid-elastic", "GooseFEM.h")
{
SECTION("Vector/Matrix - GMatElastic")
{
size_t N = 5;
GooseFEM::Mesh::Quad4::Regular mesh(N, N);
size_t nelem = mesh.nelem();
xt::xtensor<size_t, 1> elem_a = xt::arange<size_t>(N, 2 * N);
xt::xtensor<size_t, 1> elem_b = xt::concatenate(xt::xtuple(
xt::arange<size_t>(N),
xt::arange<size_t>(2 * N, nelem)));
size_t nelem_a = elem_a.size();
size_t nelem_b = elem_b.size();
auto dofs = mesh.dofs();
auto conn = mesh.conn();
xt::xtensor<size_t, 2> conn_a = xt::view(conn, xt::keep(elem_a), xt::all());
xt::xtensor<size_t, 2> conn_b = xt::view(conn, xt::keep(elem_b), xt::all());
GooseFEM::Vector vector(conn, dofs);
GooseFEM::Vector vector_a(conn_a, dofs);
GooseFEM::Vector vector_b(conn_b, dofs);
GooseFEM::Matrix K(conn, dofs);
GooseFEM::Matrix K_a(conn_a, dofs);
GooseFEM::Matrix K_b(conn_b, dofs);
auto coor = mesh.coor();
GooseFEM::Element::Quad4::QuadraturePlanar quad(vector.AsElement(coor));
GooseFEM::Element::Quad4::QuadraturePlanar quad_a(vector_a.AsElement(coor));
GooseFEM::Element::Quad4::QuadraturePlanar quad_b(vector_b.AsElement(coor));
size_t nip = quad.nip();
GMatElastic::Cartesian3d::Array<2> mat({nelem, nip});
GMatElastic::Cartesian3d::Array<2> mat_a({nelem_a, nip}, 3.0, 4.0);
GMatElastic::Cartesian3d::Array<2> mat_b({nelem_b, nip}, 5.0, 6.0);
{
xt::xtensor<size_t, 2> I = xt::zeros<size_t>({nelem, nip});
xt::view(I, xt::keep(elem_a), xt::all()) = 1;
mat.setElastic(I, 3.0, 4.0);
}
{
xt::xtensor<size_t, 2> I = xt::zeros<size_t>({nelem, nip});
xt::view(I, xt::keep(elem_b), xt::all()) = 1;
mat.setElastic(I, 5.0, 6.0);
}
for (size_t iter = 0; iter < 10; ++iter) {
xt::xtensor<double, 2> disp = xt::random::rand<double>(coor.shape());
auto Eps = quad.SymGradN_vector(vector.AsElement(disp));
auto Eps_a = quad_a.SymGradN_vector(vector_a.AsElement(disp));
auto Eps_b = quad_b.SymGradN_vector(vector_b.AsElement(disp));
mat.setStrain(Eps);
mat_a.setStrain(Eps_a);
mat_b.setStrain(Eps_b);
auto Sig = mat.Stress();
auto Sig_a = mat_a.Stress();
auto Sig_b = mat_b.Stress();
auto C = mat.Tangent();
auto C_a = mat_a.Tangent();
auto C_b = mat_b.Tangent();
K.assemble(quad.Int_gradN_dot_tensor4_dot_gradNT_dV(C));
K_a.assemble(quad_a.Int_gradN_dot_tensor4_dot_gradNT_dV(C_a));
K_b.assemble(quad_b.Int_gradN_dot_tensor4_dot_gradNT_dV(C_b));
auto f = vector.AssembleNode(quad.Int_gradN_dot_tensor2_dV(Sig));
auto f_a = vector_a.AssembleNode(quad_a.Int_gradN_dot_tensor2_dV(Sig_a));
auto f_b = vector_b.AssembleNode(quad_b.Int_gradN_dot_tensor2_dV(Sig_b));
REQUIRE(xt::allclose(f, f_a + f_b));
REQUIRE(xt::allclose(f, K.Dot(disp)));
REQUIRE(xt::allclose(f_a, K_a.Dot(disp)));
REQUIRE(xt::allclose(f_b, K_b.Dot(disp)));
REQUIRE(xt::allclose(f, f_a + K_b.Dot(disp)));
REQUIRE(xt::allclose(f, f_b + K_a.Dot(disp)));
auto fd = vector.AssembleDofs(quad.Int_gradN_dot_tensor2_dV(Sig));
auto fd_a = vector_a.AssembleDofs(quad_a.Int_gradN_dot_tensor2_dV(Sig_a));
auto fd_b = vector_b.AssembleDofs(quad_b.Int_gradN_dot_tensor2_dV(Sig_b));
REQUIRE(xt::allclose(fd, fd_a + fd_b));
REQUIRE(xt::allclose(fd, K.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd_a, K_a.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd_b, K_b.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd, fd_a + K_b.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd, fd_b + K_a.Dot(vector.AsDofs(disp))));
auto Sig_c = decltype(Sig)::from_shape(Sig.shape());
xt::view(Sig_c, xt::keep(elem_a)) = Sig_a;
xt::view(Sig_c, xt::keep(elem_b)) = Sig_b;
REQUIRE(xt::allclose(Sig, Sig_c));
}
}
SECTION("Vector/Matrix - GMatElastic - Periodic")
{
size_t N = 5;
GooseFEM::Mesh::Quad4::Regular mesh(N, N);
size_t nelem = mesh.nelem();
xt::xtensor<size_t, 1> elem_a = xt::arange<size_t>(N, 2 * N);
xt::xtensor<size_t, 1> elem_b = xt::concatenate(xt::xtuple(
xt::arange<size_t>(N),
xt::arange<size_t>(2 * N, nelem)));
size_t nelem_a = elem_a.size();
size_t nelem_b = elem_b.size();
auto dofs = mesh.dofsPeriodic();
auto conn = mesh.conn();
xt::xtensor<size_t, 2> conn_a = xt::view(conn, xt::keep(elem_a), xt::all());
xt::xtensor<size_t, 2> conn_b = xt::view(conn, xt::keep(elem_b), xt::all());
GooseFEM::Vector vector(conn, dofs);
GooseFEM::Vector vector_a(conn_a, dofs);
GooseFEM::Vector vector_b(conn_b, dofs);
GooseFEM::Matrix K(conn, dofs);
GooseFEM::Matrix K_a(conn_a, dofs);
GooseFEM::Matrix K_b(conn_b, dofs);
auto coor = mesh.coor();
GooseFEM::Element::Quad4::QuadraturePlanar quad(vector.AsElement(coor));
GooseFEM::Element::Quad4::QuadraturePlanar quad_a(vector_a.AsElement(coor));
GooseFEM::Element::Quad4::QuadraturePlanar quad_b(vector_b.AsElement(coor));
size_t nip = quad.nip();
GMatElastic::Cartesian3d::Array<2> mat({nelem, nip});
GMatElastic::Cartesian3d::Array<2> mat_a({nelem_a, nip}, 3.0, 4.0);
GMatElastic::Cartesian3d::Array<2> mat_b({nelem_b, nip}, 5.0, 6.0);
{
xt::xtensor<size_t, 2> I = xt::zeros<size_t>({nelem, nip});
xt::view(I, xt::keep(elem_a), xt::all()) = 1;
mat.setElastic(I, 3.0, 4.0);
}
{
xt::xtensor<size_t, 2> I = xt::zeros<size_t>({nelem, nip});
xt::view(I, xt::keep(elem_b), xt::all()) = 1;
mat.setElastic(I, 5.0, 6.0);
}
for (size_t iter = 0; iter < 10; ++iter) {
xt::xtensor<double, 2> disp = xt::random::rand<double>(coor.shape());
disp = vector.AsNode(vector.AsDofs(disp));
auto Eps = quad.SymGradN_vector(vector.AsElement(disp));
auto Eps_a = quad_a.SymGradN_vector(vector_a.AsElement(disp));
auto Eps_b = quad_b.SymGradN_vector(vector_b.AsElement(disp));
mat.setStrain(Eps);
mat_a.setStrain(Eps_a);
mat_b.setStrain(Eps_b);
auto Sig = mat.Stress();
auto Sig_a = mat_a.Stress();
auto Sig_b = mat_b.Stress();
auto C = mat.Tangent();
auto C_a = mat_a.Tangent();
auto C_b = mat_b.Tangent();
K.assemble(quad.Int_gradN_dot_tensor4_dot_gradNT_dV(C));
K_a.assemble(quad_a.Int_gradN_dot_tensor4_dot_gradNT_dV(C_a));
K_b.assemble(quad_b.Int_gradN_dot_tensor4_dot_gradNT_dV(C_b));
auto f = vector.AssembleNode(quad.Int_gradN_dot_tensor2_dV(Sig));
auto f_a = vector_a.AssembleNode(quad_a.Int_gradN_dot_tensor2_dV(Sig_a));
auto f_b = vector_b.AssembleNode(quad_b.Int_gradN_dot_tensor2_dV(Sig_b));
REQUIRE(xt::allclose(f, f_a + f_b));
REQUIRE(xt::allclose(f, K.Dot(disp)));
REQUIRE(xt::allclose(f_a, K_a.Dot(disp)));
REQUIRE(xt::allclose(f_b, K_b.Dot(disp)));
REQUIRE(xt::allclose(f, f_a + K_b.Dot(disp)));
REQUIRE(xt::allclose(f, f_b + K_a.Dot(disp)));
auto fd = vector.AssembleDofs(quad.Int_gradN_dot_tensor2_dV(Sig));
auto fd_a = vector_a.AssembleDofs(quad_a.Int_gradN_dot_tensor2_dV(Sig_a));
auto fd_b = vector_b.AssembleDofs(quad_b.Int_gradN_dot_tensor2_dV(Sig_b));
REQUIRE(xt::allclose(fd, fd_a + fd_b));
REQUIRE(xt::allclose(fd, K.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd_a, K_a.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd_b, K_b.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd, fd_a + K_b.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd, fd_b + K_a.Dot(vector.AsDofs(disp))));
auto Sig_c = decltype(Sig)::from_shape(Sig.shape());
xt::view(Sig_c, xt::keep(elem_a)) = Sig_a;
xt::view(Sig_c, xt::keep(elem_b)) = Sig_b;
REQUIRE(xt::allclose(Sig, Sig_c));
}
}
SECTION("VectorPartitioned/Matrix - GMatElastic - Semi-Periodic")
{
size_t N = 5;
GooseFEM::Mesh::Quad4::Regular mesh(N, N);
size_t nelem = mesh.nelem();
size_t ndim = mesh.ndim();
xt::xtensor<size_t, 1> elem_a = xt::arange<size_t>(N, 2 * N);
xt::xtensor<size_t, 1> elem_b = xt::concatenate(xt::xtuple(
xt::arange<size_t>(N),
xt::arange<size_t>(2 * N, nelem)));
size_t nelem_a = elem_a.size();
size_t nelem_b = elem_b.size();
auto dofs = mesh.dofs();
auto conn = mesh.conn();
xt::xtensor<size_t, 2> conn_a = xt::view(conn, xt::keep(elem_a), xt::all());
xt::xtensor<size_t, 2> conn_b = xt::view(conn, xt::keep(elem_b), xt::all());
auto left = mesh.nodesLeftOpenEdge();
auto right = mesh.nodesRightOpenEdge();
xt::view(dofs, xt::keep(right), 0) = xt::view(dofs, xt::keep(left), 0);
xt::view(dofs, xt::keep(right), 1) = xt::view(dofs, xt::keep(left), 1);
auto top = mesh.nodesTopEdge();
auto bottom = mesh.nodesBottomEdge();
size_t nfix = top.size();
xt::xtensor<size_t, 1> iip = xt::empty<size_t>({2 * ndim * nfix});
xt::view(iip, xt::range(0 * nfix, 1 * nfix)) = xt::view(dofs, xt::keep(bottom), 0);
xt::view(iip, xt::range(1 * nfix, 2 * nfix)) = xt::view(dofs, xt::keep(bottom), 1);
xt::view(iip, xt::range(2 * nfix, 3 * nfix)) = xt::view(dofs, xt::keep(top), 0);
xt::view(iip, xt::range(3 * nfix, 4 * nfix)) = xt::view(dofs, xt::keep(top), 1);
GooseFEM::VectorPartitioned vector(conn, dofs, iip);
GooseFEM::VectorPartitioned vector_a(conn_a, dofs, iip);
GooseFEM::VectorPartitioned vector_b(conn_b, dofs, iip);
GooseFEM::Matrix K(conn, dofs);
GooseFEM::Matrix K_a(conn_a, dofs);
GooseFEM::Matrix K_b(conn_b, dofs);
auto coor = mesh.coor();
GooseFEM::Element::Quad4::QuadraturePlanar quad(vector.AsElement(coor));
GooseFEM::Element::Quad4::QuadraturePlanar quad_a(vector_a.AsElement(coor));
GooseFEM::Element::Quad4::QuadraturePlanar quad_b(vector_b.AsElement(coor));
size_t nip = quad.nip();
GMatElastic::Cartesian3d::Array<2> mat({nelem, nip});
GMatElastic::Cartesian3d::Array<2> mat_a({nelem_a, nip}, 3.0, 4.0);
GMatElastic::Cartesian3d::Array<2> mat_b({nelem_b, nip}, 5.0, 6.0);
{
xt::xtensor<size_t, 2> I = xt::zeros<size_t>({nelem, nip});
xt::view(I, xt::keep(elem_a), xt::all()) = 1;
mat.setElastic(I, 3.0, 4.0);
}
{
xt::xtensor<size_t, 2> I = xt::zeros<size_t>({nelem, nip});
xt::view(I, xt::keep(elem_b), xt::all()) = 1;
mat.setElastic(I, 5.0, 6.0);
}
for (size_t iter = 0; iter < 10; ++iter) {
xt::xtensor<double, 2> disp = xt::random::rand<double>(coor.shape());
disp = vector.AsNode(vector.AsDofs(disp));
auto Eps = quad.SymGradN_vector(vector.AsElement(disp));
auto Eps_a = quad_a.SymGradN_vector(vector_a.AsElement(disp));
auto Eps_b = quad_b.SymGradN_vector(vector_b.AsElement(disp));
mat.setStrain(Eps);
mat_a.setStrain(Eps_a);
mat_b.setStrain(Eps_b);
auto Sig = mat.Stress();
auto Sig_a = mat_a.Stress();
auto Sig_b = mat_b.Stress();
auto C = mat.Tangent();
auto C_a = mat_a.Tangent();
auto C_b = mat_b.Tangent();
K.assemble(quad.Int_gradN_dot_tensor4_dot_gradNT_dV(C));
K_a.assemble(quad_a.Int_gradN_dot_tensor4_dot_gradNT_dV(C_a));
K_b.assemble(quad_b.Int_gradN_dot_tensor4_dot_gradNT_dV(C_b));
auto f = vector.AssembleNode(quad.Int_gradN_dot_tensor2_dV(Sig));
auto f_a = vector_a.AssembleNode(quad_a.Int_gradN_dot_tensor2_dV(Sig_a));
auto f_b = vector_b.AssembleNode(quad_b.Int_gradN_dot_tensor2_dV(Sig_b));
REQUIRE(xt::allclose(f, f_a + f_b));
REQUIRE(xt::allclose(f, K.Dot(disp)));
REQUIRE(xt::allclose(f_a, K_a.Dot(disp)));
REQUIRE(xt::allclose(f_b, K_b.Dot(disp)));
REQUIRE(xt::allclose(f, f_a + K_b.Dot(disp)));
REQUIRE(xt::allclose(f, f_b + K_a.Dot(disp)));
auto fd = vector.AssembleDofs(quad.Int_gradN_dot_tensor2_dV(Sig));
auto fd_a = vector_a.AssembleDofs(quad_a.Int_gradN_dot_tensor2_dV(Sig_a));
auto fd_b = vector_b.AssembleDofs(quad_b.Int_gradN_dot_tensor2_dV(Sig_b));
REQUIRE(xt::allclose(fd, fd_a + fd_b));
REQUIRE(xt::allclose(fd, K.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd_a, K_a.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd_b, K_b.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd, fd_a + K_b.Dot(vector.AsDofs(disp))));
REQUIRE(xt::allclose(fd, fd_b + K_a.Dot(vector.AsDofs(disp))));
auto Sig_c = decltype(Sig)::from_shape(Sig.shape());
xt::view(Sig_c, xt::keep(elem_a)) = Sig_a;
xt::view(Sig_c, xt::keep(elem_b)) = Sig_b;
REQUIRE(xt::allclose(Sig, Sig_c));
}
}
}
Event Timeline
Log In to Comment