{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Static analysis of a 2d console under a concentrated load as a membrane | Q9_M" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# GEOMETRY\n", "Lx = 50.0 # length of the domain in X direction\n", "Ly = 10.0 # length of the domain in Y direction\n", "t = 1.0 # thickness of the domain\n", "\n", "# FEM DISCRETIZATION\n", "nx = 25 # number of finite elements in X direction\n", "ny = 5 # number of finite elements in Y direction\n", "\n", "# MATERIAL\n", "E = 12000.0 # Young's elastic modulus\n", "nu = 0.2 # Poisson's ratio\n", "yield_strength = 100.0\n", "\n", "# LOADS\n", "Fy = -25.0 # vertical load at the free end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define a Mesh" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.mesh import grid\n", "import numpy as np\n", "\n", "coords, topo = grid(size=(Lx, Ly), shape=(nx, ny), eshape=\"Q9\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define a Material" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For simple purposes the material can be a NumPy array, but it comes with advantages to define a proper material using the machincery in `sigmaepsilon.solid.material` like being able to calculate utilizations and material stresses." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.solid.material import MembraneSection as Section\n", "from sigmaepsilon.math.linalg import ReferenceFrame\n", "from sigmaepsilon.solid.material import (\n", " ElasticityTensor,\n", " LinearElasticMaterial,\n", " HuberMisesHenckyFailureCriterion_M,\n", ")\n", "from sigmaepsilon.solid.material.utils import elastic_stiffness_matrix\n", "\n", "array = elastic_stiffness_matrix(E=E, NU=nu)\n", "frame = ReferenceFrame(dim=3)\n", "stiffness = ElasticityTensor(array, frame=frame, tensorial=False)\n", "failure_model = HuberMisesHenckyFailureCriterion_M(yield_strength=yield_strength)\n", "material = LinearElasticMaterial(stiffness=stiffness, failure_model=failure_model)\n", "\n", "section = Section(\n", " layers=[\n", " Section.Layer(material=material, thickness=t),\n", " ]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set Boundary Conditions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.mesh.utils.space import index_of_closest_point\n", "\n", "cond = coords[:, 0] <= 0.001\n", "ebcinds = np.where(cond)[0]\n", "fixity = np.zeros((coords.shape[0], 2), dtype=bool)\n", "fixity[ebcinds, :] = True\n", "\n", "loads = np.zeros((coords.shape[0], fixity.shape[1]))\n", "loadindex = index_of_closest_point(coords, np.array([Lx, Ly / 2, 0]))\n", "loads[loadindex, 1] = Fy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assembly and Solution" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.mesh.space import StandardFrame\n", "from sigmaepsilon.solid.fem import Structure, PointData, MembraneMesh as Mesh\n", "from sigmaepsilon.solid.fem.cells import Q9_M as CellData\n", "\n", "GlobalFrame = StandardFrame(dim=3)\n", "pd = PointData(coords=coords, frame=GlobalFrame, loads=loads, fixity=fixity)\n", "cd = CellData(topo=topo, material=section, frames=GlobalFrame.show())\n", "mesh = Mesh(pd, cd, frame=GlobalFrame)\n", "structure = Structure(mesh=mesh)\n", "\n", "structure.linear_static_analysis()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Postprocessing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate model stresses (internal forces and moments)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "dofsol = structure.nodal_dof_solution()\n", "\n", "points = CellData.Geometry.master_coordinates()\n", "internal_forces_fem = cd.internal_forces(points=points, flatten=False)\n", "cd.db[\"scalars\"] = internal_forces_fem[:, :, 0, 0]\n", "nx_fem = pd.pull(\"scalars\")\n", "cd.db[\"scalars\"] = internal_forces_fem[:, :, 1, 0]\n", "ny_fem = pd.pull(\"scalars\")\n", "cd.db[\"scalars\"] = internal_forces_fem[:, :, 2, 0]\n", "nxy_fem = pd.pull(\"scalars\")\n", "\n", "del internal_forces_fem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate model strains" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "points = CellData.Geometry.master_coordinates()\n", "strains_fem = cd.strains(points=points, flatten=False)\n", "cd.db[\"scalars\"] = strains_fem[:, :, 0, 0]\n", "exx_fem = pd.pull(\"scalars\")\n", "cd.db[\"scalars\"] = strains_fem[:, :, 1, 0]\n", "eyy_fem = pd.pull(\"scalars\")\n", "cd.db[\"scalars\"] = strains_fem[:, :, 2, 0]\n", "exy_fem = pd.pull(\"scalars\")\n", "\n", "del strains_fem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate utilization" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "util_fem = cd.utilization(points=points, z=[0.0])\n", "cd.db[\"scalars\"] = util_fem[:, :, 0]\n", "util_fem = pd.pull(\"scalars\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.86993205386776" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mesh.maximum_utilization()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Triangulate and Plot" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from sigmaepsilon.mesh.utils.topology import Q9_to_Q4, Q4_to_T3\n", "from sigmaepsilon.mesh import triangulate\n", "\n", "tr = lambda c, t : Q4_to_T3(*Q9_to_Q4(c, t))\n", "points, triangles = tr(coords, topo)\n", "x = points[:, :2] + dofsol[:, :2]\n", "triobj = triangulate(points=x, triangles=triangles)[-1]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sigmaepsilon.mesh.plotting import triplot_mpl_mesh, triplot_mpl_data\n", "import matplotlib.pyplot as plt\n", "from matplotlib import gridspec\n", "\n", "plt.style.use(\"classic\")\n", "\n", "fig = plt.figure(figsize=(12, 6)) # in inches\n", "fig.patch.set_facecolor(\"white\")\n", "gs = gridspec.GridSpec(1, 2, width_ratios=[1, 1])\n", "ax1 = fig.add_subplot(gs[0])\n", "ax2 = fig.add_subplot(gs[1])\n", "triplot_mpl_mesh(triobj, ax=ax1, fig=fig)\n", "triplot_mpl_data(\n", " triobj,\n", " ax=ax2,\n", " fig=fig,\n", " data=dofsol[:, 1],\n", " cmap=\"turbo\",\n", " axis=\"off\",\n", " nlevels=10,\n", " refine=True,\n", " contour_colors=\"k\",\n", " draw_contours=True,\n", ")\n", "ax1.set_title(\"Displaced Mesh\")\n", "ax2.set_title(\"UY\")\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from numpy import ndarray\n", "from sigmaepsilon.mesh.plotting import triplot_mpl_data\n", "\n", "\n", "def plot_solution(fem_data: ndarray, title: str):\n", " fig = plt.figure(figsize=(12, 4)) # in inches\n", " fig.patch.set_facecolor(\"white\")\n", " gs = gridspec.GridSpec(1, 1)\n", " ax1 = fig.add_subplot(gs[0])\n", " ax1.set_title(title)\n", " triplot_mpl_data(\n", " triobj,\n", " ax=ax1,\n", " fig=fig,\n", " data=fem_data,\n", " cmap=\"turbo\",\n", " axis=\"off\",\n", " cbsize=\"5%\",\n", " cbpad=\"2%\",\n", " nlevels=10,\n", " contour_colors=\"k\",\n", " draw_contours=True,\n", " )\n", " fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Displacement solution" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(dofsol[:, 0], r\"$U_x$\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(dofsol[:, 1], r\"$U_y$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Strains" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(exx_fem, r\"$\\epsilon_x$\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(eyy_fem, r\"$\\epsilon_y$\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(exy_fem, r\"$\\epsilon_{xy}$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Internal forces" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(nx_fem, r\"$n_{x}$\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(ny_fem, r\"$n_{y}$\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_solution(nxy_fem, r\"$n_{xy}$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Utilization" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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