{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2D Hyper-elasticity\n", "\n", "***\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## General formulation of the problem\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Transformation\n", "\n", "Let us consider a deformation\n", "\\begin{equation}\n", " \\mathbf{y}(\\mathbf{X}):=\\mathbf{X} + \\mathbf{u}(\\mathbf{X}),\n", "\\end{equation}\n", "as on the picture (REF) above (we denote $\\chi$ by $\\mathbf{y}$)\n", "and let us denote by\n", "\\begin{equation}\n", " \\mathbf{F}(\\mathbf{X}):=\\mathrm{Grad}\\,\\mathbf{y}(\\mathbf{X}),\n", "\\end{equation}\n", "its gradient.\n", "The lenght, surface area and volume are then transformed by\n", "\\begin{align*}\n", "\\mathrm{d}l &= \\mathbf{F}\\,\\mathrm{d}L, \\\\\n", "\\mathrm{d}s &= (\\mathrm{det}\\,\\mathbf{F})\\mathbf{F}^{-\\top}\\mathrm{d}S, \\\\\n", "\\mathrm{d}v &= \\mathrm{det}\\mathbf{F}\\,\\mathrm{d}V,\n", "\\end{align*}\n", "respectively.\n", "It follows then that the unit normal $\\mathbf{N}$ in the reference configuration\n", "and the corresponding unit normal in the deformed configuration are related by\n", "\\begin{equation}\n", " \\mathbf{n}\n", " = \\frac{(\\mathrm{det}\\,\\mathbf{F})\\mathbf{F}^{-\\top}\\mathbf{N}}\n", " {|(\\mathrm{det}\\,\\mathbf{F})\\mathbf{F}^{-\\top}\\mathbf{N}|}.\n", "\\end{equation}\n", "\n", "For Lagrangian description it is more suitable to use the 1st Piola-Kirchhoff stress tensor $\\mathbf{P}$,\n", "which assings to a normal $\\mathbf{N}$ the corresponding traction in the deformed configuration.\n", "Its relation to the Cauchy stress tensor ${\\boldsymbol \\sigma}$ is\n", "\\begin{equation}\n", " \\mathbf{P} = (\\mathrm{det}\\,\\mathbf{F})\\,{\\boldsymbol \\sigma}\\,\\mathbf{F}^{-\\top},\n", "\\end{equation}\n", "For rewriting the problem fully in the Lagrangian coordinates we will also transform\n", "the body and surface forces\n", "\\begin{align*}\n", " \\mathbf{B} &= (\\mathrm{det}\\,\\mathbf{F})\\mathbf{b}, \\\\\n", " \\mathbf{G} &= |(\\mathrm{det}\\,\\mathbf{F})\\mathbf{F}^{-\\top}\\mathbf{N}|\\,\\mathbf{g}.\n", "\\end{align*}\n", "Using the Piola identity\n", "\\begin{equation}\n", " \\mathrm{Div}\\left[(\\mathrm{det}\\,\\mathbf{F})\\mathbf{F}^{-\\top} \\right] = \\mathbf{0},\n", "\\end{equation}\n", "we obtain that\n", "\\begin{equation}\n", " \\mathrm{div}{\\boldsymbol \\sigma} = \\mathrm{det}\\mathbf{F}\\,\\mathrm{Div}\\,\\mathbf{P}.\n", "\\end{equation}Having all these formulas at hand, the original problem\n", "\\begin{align*}\n", " &&\n", " \\mathrm{div}\\boldsymbol{\\sigma} + \\mathbf{b}\n", " &=\n", " \\mathbf{0} && \\text{in}\\ \\mathbf{y}(\\Omega), \\\\\n", " &&\n", " \\boldsymbol{\\sigma} \\cdot \\mathbf{n}\n", " &=\n", " \\mathbf{g}, && \\text{on}\\ \\mathbf{y}(\\Gamma_N), \\\\\n", " &&\n", " \\mathbf{u}\n", " &=\n", " \\bar{\\mathbf{u}}, && \\text{on}\\ \\mathbf{y}(\\Gamma_D),\n", "\\end{align*}\n", "can be now easily rewritten in Lagrangian coordinates\n", "\\begin{align*}\n", " &&\n", " \\mathrm{Div}\\,\\mathbf{P} + \\mathbf{B}\n", " &=\n", " \\mathbf{0} && \\text{in}\\ \\Omega, \\\\\n", " &&\n", " \\mathbf{P}\\cdot\\mathbf{N}\n", " &=\n", " \\mathbf{G}, && \\text{on}\\ \\Gamma_N, \\\\\n", " &&\n", " \\mathbf{u}\n", " &=\n", " \\bar{\\mathbf{u}}, && \\text{on}\\ \\Gamma_D,\n", "\\end{align*}Purely formally, the problem above is nothing but the Euler-Lagrange equations of the energy functional\n", "\\begin{equation}\n", " I(\\mathbf{u})\n", " = \\int_\\Omega\n", " W(\\mathbf{F}) \\,\n", " \\mathrm{d} V\n", " -\\int_\\Omega\n", " \\mathbf{B} \\cdot \\mathbf{u} \\,\n", " \\mathrm{d} V\n", " -\\int_{\\partial \\Omega}\n", " \\mathbf{G} \\cdot \\mathbf{u} \\,\n", " \\mathrm{d} S\n", "\\end{equation}\n", "minimized over the displacements satisfying the dirichlet boundary condition.\n", "The 1st Piola-Kirchhoff stress tensor is then given by the stored energy density $W$ by\n", "\\begin{align*}\n", " \\mathbf{P} = \\frac{\\partial W}{\\partial \\mathbf{F}}.\n", "\\end{align*}\n", "We will profit form this in the sequel,\n", "since it is enough to prescribe the energy functional\n", "and the corresponding E-L equations are compouted in FEniCS automatically." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choice of the stored energy function\n", "Linear elasticity is well established.\n", "The symmetric gradient of displacement $\\boldsymbol{\\varepsilon}$ is a good strain measure for small deformations\n", "and quadratic energy is the simplest choice working for broad range of materials.\n", "Its form is completely specified by its second derivative, the so-called tensor of elastic constants,\n", "whose experimental fitting is well known.\n", "\n", "This is not true for large deformations,\n", "where the situation is much more complicated.\n", "There is no universal strain measure (by itself immaterial),\n", "nor a general ansatz for the stored energy function $W$.\n", "Even though there are materials with same elastic moduli in the small deformations regime,\n", "their response differ significantly in large strain regime.\n", "Nevertheless, the tensor of elastic constants obtained from the quadratic envelope of $W$\n", "provides a good clue\n", "and even in some situations determines $W$ completely.\n", "\n", "Let us now mention a few examples of the most used stored energy densities of isotropic materials.\n", "Probably the simplest one is the St. Venant-Kirchhoff energy\n", "\\begin{align*}\n", " W(\\mathbf{E}) &= \\frac{\\lambda}{2} (\\mathrm{tr} \\, \\mathbf{E})^2 + \\mu |\\mathbf{E}|^2,\n", " &&\n", " \\mathbf{I} + 2 \\mathbf{E} = \\mathbf{F}^\\top \\mathbf{F},\n", "\\end{align*}\n", "where the strain measure $\\boldsymbol{\\varepsilon}$ was just replaced by the Green-St. Venant tensor $E$.\n", "This energy depends explicitly on the known elastic constants\n", "and is therefore very popular among experimentalists.\n", "It lacks, however, other important properties.\n", "For example no existence theory is known for such an~energy,\n", "but here are others 'more interesting from the engineering point of view'.\n", "It is known the material can be deformed in such a way\n", "that linear waves around this new configuration does not have a real speed of propagation.\n", "Hence we rather choose the Mooney-Rivlin energy\n", "\\begin{align*}\n", " W(\\mathbf{F}) &= a |\\mathbf{F}|^2 + b|J\\mathbf{F}^{-\\top}|^2 + cJ^2 - d\\ln J + e,\n", " &&\n", " J = \\det \\mathbf{F}.\n", "\\end{align*}\n", "The positive parameters (except of $e$) can be expressed in terms of the Lame constants $\\lambda$ and $\\mu$\n", "in such a way that the Mooney-Rivlin energy approximates the St. Venant-Kirchhoff one for very small $|\\mathbf{E}|$;\n", "see e.g. [Ciarlet P.G. - Mathematical Elasticity (1988), Thm. 4.10-2].\n", "For our purposes it will be sufficient to consider its simplified form,\n", "the so-called Neo-Hook energy\n", "\\begin{align*}\n", " W(\\mathbf{F}) &= \\frac{\\mu}{2}( |\\mathbf{F}|^2 - 3 - 2 \\ln \\det \\mathbf{F} ),\n", "\\end{align*}\n", "where $\\mu$ is indeed the shear modulus ($\\lambda = 0$),\n", "i.e. $a=\\frac{\\mu}{2}$, $b=c=0$, $d = \\mu$, and $e = -\\frac{3}{2}$.\n", "The last energy we mention here is the isotropic Hencky strain energy\n", "\\begin{align*}\n", " W(\\mathbf{E}^H) &= \\frac{\\kappa}{2} (\\mathrm{tr} \\, \\mathbf{E}^H)^2 + \\mu |\\mathbf{E}^H_0|^2\n", "\\end{align*}\n", "where $\\kappa$ is the bulk modulus,\n", "\\begin{align*}\n", " \\mathbf{E}^H = \\frac{1}{2} \\ln (\\mathbf{F} \\mathbf{F}^\\top),\n", "\\end{align*}\n", "is the Hencky strain and\n", "\\begin{align*}\n", " \\mathbf{E}^H_0 = \\mathbf{E}^H - \\frac{1}{3} (\\text{tr}\\, \\mathbf{E}^H) \\mathbf{I},\n", "\\end{align*}\n", "is its deviatoric part.\n", "Note that\n", "\\begin{align*}\n", " &&\n", " \\text{tr } \\mathbf{E}^H = \\ln J,\n", " &&\n", " \\mathbf{E}^H_0 = \\frac{1}{2} \\ln \\left( \\frac{\\mathbf{F} \\mathbf{F}^\\top}{J^{2/3}} \\right).\n", " &&\n", "\\end{align*}\n", "Although much more involved, this energy is in good agreement with experiments\n", "on a wide class of materials for principal stretches ranging between 0.7 and 1.3;\n", "see [Gurtin M. E., Fried E., Anand L. - The Mechanics and Thermodynamics of Continua (2010), p. 330]\n", "and references therein.\n", "However, a general existence theory for this energy is still out of reach." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing deformation of an infinite cork tunnel\n", "Now we will re-compute the 2D in-plane strain problem.\n", "Since cork is the material of this course (and because it makes our lifes easier by $\\lambda = \\nu = 0$),\n", "we choose\n", "\\begin{align*}\n", " \\mu = \\frac{E}{2(1 + \\nu)} = \\frac{E}{2} = 10 \\text{ MPa}.\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import fenics as fe\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import ufl\n", "\n", "fe.set_log_level(13)\n", "\n", "# --------------------\n", "# Functions and classes\n", "# --------------------\n", "def bottom(x, on_boundary):\n", " return (on_boundary and fe.near(x[1], 0.0))\n", "\n", "\n", "# Strain function\n", "def epsilon(u):\n", " return 0.5*(fe.grad(u) + fe.grad(u).T)\n", "\n", "\n", "# Stress function\n", "def sigma(u):\n", " return lmbda*fe.div(u)*fe.Identity(2) + 2*mu*epsilon(u)\n", "\n", "\n", "# --------------------\n", "# Parameters\n", "# --------------------\n", "# Lame's constants\n", "#lmbda = 1.25\n", "#mu = 20\n", "\n", "E = 20.0e6\n", "mu = 0.5*E\n", "rho_0 = 200.0\n", "\n", "l_x, l_y = 5.0, 5.0 # Domain dimensions\n", "n_x, n_y = 500, 500 # Number of elements\n", "\n", "# Load\n", "g_int = 1.0e5\n", "b_int = -10.0\n", "\n", "# --------------------\n", "# Geometry\n", "# --------------------\n", "mesh = fe.Mesh(\"external_mesh.xml\")\n", "\n", "fe.plot(mesh)\n", "plt.show()\n", "\n", "# Definition of Neumann condition domain\n", "boundaries = fe.MeshFunction(\"size_t\", mesh, mesh.topology().dim() - 1)\n", "boundaries.set_all(0)\n", "\n", "top = fe.AutoSubDomain(lambda x: fe.near(x[1], 5.0))\n", "\n", "top.mark(boundaries, 1)\n", "ds = fe.ds(subdomain_data=boundaries)\n", "\n", "# --------------------\n", "# Function spaces\n", "# --------------------\n", "V = fe.VectorFunctionSpace(mesh, \"CG\", 1)\n", "u_tr = fe.TrialFunction(V)\n", "u_test = fe.TestFunction(V)\n", "u = fe.Function(V)\n", "g = fe.Constant((0.0, g_int))\n", "b = fe.Constant((0.0, b_int))\n", "N = fe.Constant((0.0, 1.0))\n", "\n", "aa, bb, cc, dd, ee = 0.5*mu, 0.0, 0.0, mu, -1.5*mu\n", "\n", "# --------------------\n", "# Boundary conditions\n", "# --------------------\n", "bc = fe.DirichletBC(V, fe.Constant((0.0, 0.0)), bottom)\n", "\n", "# --------------------\n", "# Weak form\n", "# --------------------\n", "I = fe.Identity(2)\n", "F = I + fe.grad(u) # Deformation gradient\n", "C = F.T*F # Right Cauchy-Green tensor\n", "J = fe.det(F) # Determinant of deformation fradient\n", "\n", "#psi = (aa*fe.tr(C) + bb*fe.tr(ufl.cofac(C)) + cc*J**2 - dd*fe.ln(J))*fe.dx - fe.dot(b, u)*fe.dx + fe.inner(f, u)*ds(1)\n", "n = fe.dot(ufl.cofac(F), N)\n", "surface_def = fe.sqrt(fe.inner(n, n))\n", "psi = (aa*fe.inner(F, F) + ee - dd*fe.ln(J))*fe.dx - rho_0*J*fe.dot(b, u)*fe.dx + surface_def*fe.inner(g, u)*ds(1)\n", "\n", "# --------------------\n", "# Solver\n", "# --------------------\n", "Form = fe.derivative(psi, u, u_test)\n", "Jac = fe.derivative(Form, u, u_tr)\n", "\n", "problem = fe.NonlinearVariationalProblem(Form, u, bc, Jac)\n", "solver = fe.NonlinearVariationalSolver(problem)\n", "prm = solver.parameters\n", "#prm[\"newton_solver\"][\"error_on_convergence\"] = False\n", "#fe.solve(Form == 0, u, bc, J=Jac, solver_parameters={\"error_on_convergence\": False})\n", "solver.solve()\n", "\n", "print(np.amax(u.vector()[:]))\n", "\n", "# --------------------\n", "# Post-process\n", "# --------------------\n", "fe.plot(u, mode=\"displacement\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison with linear elasticity\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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20y0mkmXw9tXUtWNMBhKNo7wxz1GKAUC/v8xoB8MZ0owQG+YunRrkvvMs7aHv8DJuGjxtPW/iS/oXIMZvyUMsjjl1jrT18VxiipCyPexyA688luxL+hfwV/NTzneouOIKyOMUyOP4wkwvKGlGOBjOcHk6WKSb7MloC49RCkxiY/U5OZGhd7Q8V2uNl2xpx1FUtnHfxae2idNaiOhVAB5n5gcc191FROeI6Nz589WV1uryd7/7p72vTUbkXH8XGRaTyHrm9ZnybU4yIB2ys/SJxlG+Fq96IBcVcWjfkxFSpUdCiIvg4rxhqapwKh6XDpk5lw+bh1FnVK/t2j6i0jtt4fXFJbZqXKpxrUuPRXjldNSlNxuqzRLJiQzpkHPbsvSGL2xTslfjM33sXqJOnloXPuX6SwF8OxE9CuDdAF5BRJWVppn5PmY+y8xnT5/2X7pwFepGMABjoqWDasLTnMAE45EeGLyXGgXLhfEeTg0mFYMXmERGZKgnLNWdLyTPQkwZLmU76l8DiClDTJm1eiTiwCQypjgU8X5h7N4WFoCxsAByW7DZCs3LdqqztwU1u5lr54EN4hQYZn4rM9/MzGcAvAbAHzKzewn3LlMkoEhkW4kSzQwjhotdHHmuj0Kf3iPBo8/oh/cLXJ6MSWRu6jerQq0D3diZVTB9i01gAXfcueJexpSmwgayfX2BY7IhQGODDcewdFVkdmYcjPBWkhFhehhhck2Ur+wuHzWoM6LXZiA2fERm2E8wtJSMAjmjNGl78fFi9olwbB3e33O2rQDwaH9JsO+xJ0gTz0uOG58qpk/cA/UKjKZ4rjKxRLH/yTURpodRM8++JWoJDDN/iJlf1VZgVGRR8cIhOOne8gAAathGZiqpBP09aWi8xTCFcV8zHGOSug344nyEyFDEqSW5rsS3ZVifDC+wCYh8zuXF2N6pC6v6TSbvJULmJS6TtIdrhmOnyMtpKKetDtU2fAsn4vyQ7bN6EWoVqHL+2ZbgdNKDOfsD92C+bxj2X6xvYdrMSiYb5oct0XxFRhiKTlzkapLOAFWRMRm0TWRO9Y9xqp+3AEaULQ6ZJ5JDxMTWqpEu46oZXefF+FR5fLwb9dk6kbEJ4U39pxETl8RFjg8RJ3J86dDFtS5ddAWEnMa6KrKwkTrioiIXhsKOnc8pTNO0Bsx8n3D2B+7xCtO66PRkR7G9axPkRXlckyRFArPDHqIZIdsHtD21aYRoWDZOkrqiR4P8nMsln6Q9jOLlNbZMAqAkMralMk3U8VxkUnZPDwCqkx1NYTj2XHpAcEM/X9T8fGIfOSHi74K0GJDLW0w5WqTXaJDgaJwbkzxdIOplyKY9rS1w5icuPoWbbP/JEOjV291mGaYtuRKd9GBk5IhRlVnnxSRDzYpf8FsLVbippoRPr0304iI/I+LFITghjQ49npkr2if6U5zoT9GLUnzxwRNOcRGo6/B+IbGPI3myKA5t4iJ7GibvRfZYmngvMiIsTzqKavXbfEX1VP8YX3zwBHpRuohnX0T66dJWB0W5rRjPW2ysdJ0mSo32reQFOa9sS1yAHRAYwBxBWT8/x5E54lVcIpPsMWanMmQDrhyYmzOk8F4SZWuLE5ppAbLIXDPMx3qoBv8342swzfQZ+7HpsuejjtdyMpriZNSwCHTgO3XAh7rhlAVWjhuZadbD34zL50ScizQA7AWAQKSx6rGWmJPWhubPypDsuVehc9ppYe/C/k2dFtsUF2BHBAZYRpQ6hLoJlBk2tSoSPppWhYTFHkgWkVk8pzBAnbgIhCG7StNp1tMKjWv3ABlThnVVS445sba9+IrKkHpW78UUliZCo2KKP4Ec/1bvskhLtQDRUtgIa/bNEraV7LFWaOo2CaRSPlDzxrbFBeigwJgaoZI9MopK2kBsSnVbQ2IbUURGV5LpxIWIS8fzTlzwfqUro+jwyaA2kTkZ9ZFA35quExeT4CRIcTIyJ5JL6Jp4XnXj63knLlTSR0WXppW09yiAZGS7s40wr0vWh3GC4yYbejsnMEZamHZhExadF1OHCxf2nQbbhGnWw4sP/t9Kz3i2klnrNrCuE/Xdatjqcmb0RG0hNqGm37rSUKV2AedLB6YqdV5g5D58js3badpIh/ojnpHXeAKdqytKqmiYN/yqxzXXXLY+8/qDI0TEi8PFYW+Cw94Et+x/wbrhGAA8p5d7RnUGqqkZXfY4VC/Gdza1eq/qxdQRNvEt4tts3LL/hUV8yVw/rFah5DS4/sA9e12X1gsvRuO9yLZjLLQot0WTndZFzifbHnTXWYGxRYwcgaY6aHJgTyCxwHc8pUYjgTHMgIi1vUqD4dy6vqvOkGVDf87oIp4zyjct1mUUAEaRUTOgKjI+HoKuOmOqKtlocg9QDaP6DSaR0cWJiL/D3mQRtwCMwm4TmePJAINhdUUoipCvZGfZq7x60/KIC+ExLTov7Dg50LdBijxgK4C3JTSdE5g6EcGxvdHXZzBe+QaUxCaaUtV7GWb1DElBNmB1dTUVNQPcOChnLDVDmTLepWzo5c34eBS+yzWYxEWIl8+7bOFWv1WNCzWu5AWpdMIip4WPJ2NEYx88zJbeS5PCDHpblm3f17PftNB0aqDdi954L9ADyHNVAFPjrlwSUFqNfK8dG0eSEdYQFLmEO54MsD9abozmY7iqG3+UDnEiNnsdF9J9nIr9WgcvZUOnB6PzXg5u/IzX82Vkw7r8+edX3nGc2jeMq1O9c1UZ1dXurh9ewuNT+wC96w+O8Pjl5S4Gskc6GM4xmzp6FmSbmUYLe3K17WUDQN1LTxYX3Xkgzwux5xry3Mvz2kM/c7ffDSvQKYERcBEqm9AIcam7lYlOXOIp5Wt1AMiG5dKNZhF4VBiLbkj3NEY8NLtKQmRWKRWP0iG+dO9vrdfY2iZeceZTjd+9DnQC9QLHPfL5P3z0Fu01z+ldwCenzzU+48bBBfzl+AaPEOoRIuPaziQ1dV0Lp2W2NFBhX0JoYo3gmETEhOgRFXnCJDS8hdzeSYERsMGbsXVL6wRE58VU7ht6NDjKtqC5XK2fC+/FJi5PTfdx7TD3QHSNkIK/HN9gFJnvfuEfGe+7ErAJ5CsA/PynvkF7ziYushdjq6pef3CEx1EVGaMX41n7EPamE5jS43RVI4cA6byZbYgL0HGBAZYiMzs0b+fg48UkB+7Rk7pnZKMMmEWggVJNUuxiMJyXqkNt8fpbPtj6O3YNXZyYRKcpprSdTftWUeHCA44mVeOiDMj6ersUbYr9iw4BMi2g1geyfWBwcXviAnRcYBbrYxT/1zXkyqKziX2lVQYHueGlNfc3UjF5L/e++N0rPfdqRRWdux98TeUan7YYG2kWIe6niPspZpc3a3w6L0aXP+SdCuL2y78KxC0Msjp79iyfO3eu1j0veuO9i7/VhXd8x01lQ7Mnk47M3ylXj9T7s9GyiFC9GCEugpP75tWcXW0wX36YV3+CoGwGITifvGhvo5EbelUuHZfXnFFFhqW2F9WDkT0PW8NvPDHv3ug7JjFSmhlkoWnS0EtEDzDzWZ9rO+PB1F7NS8HZ6ZAVuzI6sFW3WKoqqeKyCu992b9b27MCfshCfueH37CWZw4OZguRkcVFxXu+kWOb2mzoLzIyq+a1OnRGYFZBFhedQCzXO62KjK5xVzxD9l5kTOJy6Xhk9WJUgrB0A5EOdYRG9V4EssjIZEU7jE5csiFXvZhCXNJBtWojP6OpyGyKzgiMqAap7tz6X+TnyQBANNIHRsxJYdcKVRqCqHQXOW2aeDXCLijKQLrCydHdvcDhuVQubyAya5qu5aQzAiPIemWRsUVEsg9EjtG6OneQ47z7z9Y1TZl7rlgdoQnCsluI9Prq9/4z57W+kyBtVSPhxXBcvU7nxagk++bZ2HXy1LrpnMAAbm9GrhJl0vgWITa6ahIr3YHpHoNji2EcpN4jum1C88Cd/8rzKYEuItJPJzR1Z1dnpxLgsnlAFkf5Upuyrar7KaniI9u/y5PZpLAIOikwAhEhvqPGF1tsLhY/rgqLDKVkFRnOIpDHlqSL5xHjaDzEib1pEJYrDFlojsbD2uLCjmEMlBom9hb2m4IWXkxmGTSqyyvR1Cwut/74vfjzd7Q3ZaATAnPrj9+r/V2exFUnPZORXViygVRCrFlkPvX3f8L72sDuIYTmlvf8S+976ohLNmDtguHcZyT93KMxDTjVvpvyvdYpNQ9UbZPOzaYWiEFDYqi0T3tq06U0TaWHwGUggiAuVw++ad3Uc7Hha+ciz4g8tMoys03phAcjY4uERYQpDsc6Im4VTyYIy9WJSHeTN9OGuMgIu1c9E1thbLqnLTrlwfgKBVNxbQTzF1hqNdGMwD2uHCAAowwYZaC4eujW8gjiEqjYQGEnWhsq7AsErQ1a91My2LTIC1nfz9Nf3LMBOuHByLsumpZoME3Y0jV4WXuHAKT7hpSqse5LEJaAjMubqTDMgGm1dEz3M8TH5nKfY7Z6PnI+sS13wj3AY7filemUBwPkH64edZS5hG7UZJ8rXX8AqquQzcxN9UFcAiZstlGxKU2BRnPSz7BusIhiaQsTJU9tis4JjIrcvaaKjK27Tvss0/gCg+eiE5m/fu1b6700cNWhsxFjgWWwPdMyDibUvCDnlVQ/q2EjbF1gbvkpfRd1UyrVo6xYu3fA5TV3RQLUqBYFcQn4UstWChukhEr2mQ1Yu5C3qwmgLuvOgzJbFxgbusFBqhfDMZcOAOB++TDiMSdJlDxBXAJ1ETZjq24vcNiias86uxdejK45YRujeIGOC4yJdMBIB/qh/lZBka8Ta7vIO94bjiAugab89Wvf6mVjgGSTDnQ2LoQmHZiFahsi4xQYIhoR0ceI6CEi+gQR/WSbAVpsxWDqNbLUTbmHfIaiwzEpJaRl3Q4AePT73mJ/WCDgwGlDkg16iQzbG2pteWTVfd3r4uPBTAG8gplfBODFAO4goq9ZVwDkvV3kDxd1T/XwRoljSgk8yLxLCSCIS2B91LElYaeV7miPwnNxqSP/mPLdunEKDOeI9R77xdH6rre6qe3suY7L8gbP6zReTBCXwLrR2pTDg15Q1/Q1ecV7Jb014vV1RBQT0YMAHgdwPzOvbZ8M4/KUNVuHjC6jr+pLCR3EJdAWJdvyEReL/dYdz7KuvFYHr0czc8rMLwZwM4DbiOgr1WuI6C4iOkdE586fP18rED4fWFHkSDkWv7P28PV+grgE2sbXxthgy6UeJ1M+gJ/H36a4ADV7kZj5AoAPAbhDc+4+Zj7LzGdPnz5dOyDOD7VGpLhGH6Heo4B93dVAYFU8bc1ou4WtV/KNJZ9Unr0Bc/fpRTpNRKeKv/cAfBOAT7YRGPHBjT9cs5ZpKYESu9I8etebG744EKiH09YkW9WKTM11exfPWjWP1cSnFncjgF8lohi5IP02M/9+WwHKejVXClMjSlrUW5swCQE13xEIbBRNQcgkLVOiiAtH5gZcXTUpv361pSJ88elF+lNmfgkz/x1m/kpm9l/Kqya1e4lMzyFHtUiTgMF7CWwarc1ZvGwmNPZcKs9aU15z0ZlGhyYfvJKbJyVkEJfAtijZnqMKD5jnITXJC3Kee+G/aWc+0lbXgxEfVUdcGi3bYMIjQQOB1lmTHcp5w3cNa4641erSVj0YeaKWlcij2uPxLh2Pvv5Hmz80EFgDJhtcZdb0Ir/4DAHxzYcN6EYVSbMUpcw6vJZV1z8NBDbNOmzWmncc+W4ddENgBOpaLQAQ1duyJBAILCFGOZfr8liLdEtgZJRI0Mxurz0/Qy0RQvUo0BVUW2zqvWjzCbBRUZHprsAIXCJSY4YpEKpKge5Ty0YZ7jywxRpA9wUG8Isgn4iWCN5LoGvUsklfW99y80Inti3xguHt4lGS73tU+k0qFYIXE+gqkTJHSe3doR0bWrE7AlOTaE4bm28RCLRFqWDMavaodqBzZLcExuHFlBq1MuxKBTAQ8CMDSLJpq9h0QFyAXRMYoCIy2i5ssZ53sbPdJjeaCgTWTWmHRqnglG2/JDYdERdgy2X8X/3Im5rdyHkVyHd8jG0LzUCgy/jaLok80bE2mp2qRFBKiwPIG7zkCI2mZNxik5L86B0THnljQ2ELBFrmkTe+Cb0PCPQzAAAc0klEQVRjWtirlqyw9QI1H8h5xJfGhb2Dnag8uCKLEkKU5G5iVGwJq27dEM+6peyBgA1hr+o+R5G05XE8IeteRyLftDXPyIfOCczCO5E8EVdvUKRRellogrgEdpV4RkgHXBIWmShxb6gm37tY0W5DotOZKpLNrfPdbkHXJtMbB3EJ7DY6G/ZufzQ1GTSoRjVh6wLj+6GmiNJ5L+o5SvMjENg1hN362HnlXo+CuW2h2brA1Bner0aYLdK19weRCewIqxaK3pus1ZzLV5ftC4zA80NdESdcR6Oqp8CXvaOd5QEDgVX5snfcaxSWhUeuySeLc5mnuLQsLILuCIzAU2Tqei+l+4MnE7gC8coTGxIWQed6kQAArGzToCGaOx4hSWc0W0+wAoG2icfV37JB+d8220+H5nNrXc/ak24KTIFtFCMl9ikAlIURvIErA1FAcg+ILYUlJQDF5vPcX2+4fOheFanA5aEAdgGJZjUaugKBjkOZ3RP3KUx98tS66ZzARHN3RETzZRXIFbGmRq+v+BehoTfQLXQ26dNou5jUG/nlnU3SKYHx+XjdNT7qHbyZwK7hNY5FO4rdfo9PIb4uti4wn37L3QCai4vAV2QoA3rHwOAZzwAGAhti8Exum75dzdYmghr5SeTBNuhEI2889Zhv5NkmE0+Kvy0JtI26aCDgg9P7KNph0pHfszJHw2489QtXU7buwQiEaqvq3T/yf4YQF8AsWHICvuiHQztMoBvItmgSGdmmZVu30T+q5iFdPmuLTngwOihbqqsaQWpfv29kBwJXEvFE78novJLe2D5Gpi0648Go2Fy3eJof0dwuLqoXoysZghcT6CKqrZo88niSH9F8mS9MtF0d0tFJgZEjgi0Dh6IZEKXLw0Zodwl0FVMh52yPkWzfNkZGzkObFhmnwBDR84jog0T0MBF9goje0FZgXArsQic2PmMDAoGuIo/5KgnKCvPpVs1ndfDxYBIAP8LMXwHgawD8EBHdus5AfOon7q79wa75RSIRRk8zehMYj+EzjNu+957mgQ8EVuC2770Hw2dcNuonKHXn3MXTPO+1iVNgmPnzzPzx4u9LAB4GcNO6A2Jd5FhBjsgO7dAQCLQCZXYrl8/6ikyd/LYKtdpgiOgMgJcA+CPNubuI6BwRnTt//nzjAOk+XK5D+kZgb5wfgDmB4uny9+DFBDaNbHOyLcoI25Xt2UWpAFbaMDclLIuw+F5IRCcA/A6ANzLzRfU8M9/HzGeZ+ezp06dXDljTiFATIuuLRcSDrxPYLXQ2W0doSs/asLAIvASGiPrIxeU3mPk97QZJebeIGDZ7L9Ec6F3OD+uzHCITvJjApnDZmmyropCUEfYezYFY04kRzQDw9oRF4BxoR0QE4BcBPMzMW8uBvaIROIv0EbpAjE40SCdlDI7I6JIGAtsinjLSIbm9bc0IXDlPpH0gyoBoCiRbGFwn4+PBvBTA6wC8gogeLI5vWXdAPvFOfWt2b7oUF5NaA9VVv0w7PAJ2TyZ4MYG2sdmYVVwylOy6YvMFsTRbWs4/28DpwTDzR1Dabn4zmCJFzKFwbTYFoLRRuEo855LrmOyF/ZMCm6c3XgoK93JxmO9rbNFz3lCU6Ef9ivwkezSmQn2ddG4kr6/iRkl5kePBJUZvujwWKAnTP2b0j3WNZ4zRhRSjCyle9up3NQx9IGDnZa9+18LOZHGRqdinYsPCxvtHy+vU/GBi0x5NpwSmf2xe8V8ejVta0DsB+kcMpvKixrLYREkuQDphWV5fTsUgMoF1o9qUanMy/WPG4FJuu7Iti8JT2Hr/iEvCUsobhuYESvO8tgk6JTCCOtuKxBN3Y60oKUzPtSV0INAmJtsTtmrycmR88oD63E3RSYEB3DvbcaSPWHVrBjWB6kRw8GIC66KOLak2qtqwbvuReMLWRdu2tX1ypwTmwZ+rNjr1jov+/ln56FmqO679X0REc8/tvQSRCayKy4Z602yxBY9LBGy23Tvmaj65nOchFV1ea4NOCYzKYgKk6pUU7SquRi2be0kp0L8cqkaBbtC/nFnFxVVVEvmhp47vKvLONtaCATq8op0zQgj56F6DyPTGmXVJwHiSn4xSR8JNU3zjy9+B//GhH3cEKBCo8o0vfwf6ALKhZWEjAFlMiGK7LfZTRrJnqwfZwxJPN7+qXac9mBJF5FUUWkNvbPdMhLi4iKbLIuUbX/4Or3sCAYFsM7ItmYgnmdM2XbYNSHlE11bTtQWntoEpEkzunwldo5evuOgIIhPwZRVb0dmobMtakdE0I3SBTgpMLSq9RnoB0ZUOUcLGBWV8SpxAoA5Gm+LCFiVqFYQ1B6Fv0ovpnMA8+HN3I5pz5QCg/V2cA+ziYoXhvXJV8GICLmrZiMXubFUm2dZt+UL3+wP3baYHCeigwJiQhaRyLmEMjrJKKQC4N3QrX1w8z+G9BJEJmHDZxsK2ahRqOhu22fziGkue2RSd7UVSiWf5QCJdz1BPDLgj0ka4+lvWs/iUDMQe1aPbX/I2vP9PftJ5XeDq4faXvA3xyJ2lsoG9R0m1V62IUG7DvQkjGVXtmaM8z6SD7U7i3RkPRlDLI0HhSipxHCWM/uVy/3Y8TRFPU/Qv+a+cfPtL3lYvMIErljq20L80W9hb6ffLSVVMyK/nSKZuHmmTDgXFTDxThkrLLerqdAFaqomxTaZIWJHI4t/RzK9hlyZLcQoiE5BtQLYNG8LWVBs0ec8lW6ZyiSnnAVVc1LyzaTopMH/8y29a/C0iKJ5y6ehfzqri4oFP9acuQWSuXtpIey+RUc9N8jyh5hOgLDJy3toEnW2DGT6TOV09UkbhcmzxXoqRv6viW0IFrl5okoA92mLcD3KcdoxCB5a7FcRT3shm9yqd9GAEYvU6H6JZhnicon8xQf+SvgRY1XuxiUvwYq4+bGm+akFkstX+pdzG43GKaOaXOerko3XTWQ9GRkSO8Ghkl88UyVQ0lrGtxwhANE2K6w3Pmcmr+cjLG1aj7s4Xvhnv/XSYfX01cOcL3wyc3K/8TsnSXujyUiR4ULWXeJ6Ce7lRZ0N7ViRDd7Sw/2yQP0fuOdqWqMh02oNRkSMsmmVeCk4JLxInHeXdg9E0WRzWe2fm85QkiyO6PEF0eQKgMLzAFY1IY5Husi2YsNkSULZJ2S5l+7Xer+SHLogLsGMCA+QR1xunzlnQKvE4Qf/pqVFUREmyeI/DIACApglIPC9bpmgQmSuXUtoWaV6yAwuqTak2JxONE8TjetWsKGX0xmlnxAXosMB85D0/WvmtN87KQ6RTLh/KyMVoni6OBZm5OiTwFRcbQWSuPFxp2kRkKueTrLTIt9aGUUwBUOxfoOYTgS5PtU1nBUbGFGEmtAkyKf+bkkwrNOsQF8GdL3xzEJorBN90bCoyOntUbVZn1zbq5ps26Hwjb60IiurPghaJyr0INJ6Dsur7uF8M7SYCTWzbSuoJjb+7S5MCQogMj/rL31RhSDkfObHXR12ieepcwEqmN87sC1W1SKc9GJO4ZIa6q0lc1JKAo+r90aWp8RzN08XRlDtv/uHG9wa2wyppxqO+0W5kG6Px3HgOqNru4neDrZvyxrY8mU4LDKXsNZgIaL5+C43nlUQ2Mp0D85oezGyeHwgis0ss0kpKP2/mc9DRxPtyb/tT8LX5Ovlo3XRaYASuCLJFtKkE4Ciql7BT6dr5fHkAwPF4eU4YpGyYcg9TEJnOU0ojkXa6dAWWaa/aBFC2GQc0nmu9Z8Bsw4Dd9rcpLIKdEBiBLsJ6R3NE80x7xJdmiGZJ5QCA6LJ5Wa9KQtsMRRhUjZIuiEx38U4bOb3lAkZlaq8CyQib1NlsfGmW27PGzntH5Xd0QVgExLz+gJw9e5bPnTu3lmd9wyvfWfp3rAzBjuaGEbjFdWT6Pkd7yqKxVxUXVt43l8KjMx5No7HMez/7s9bzgc3gFBZX2vaV/hJSrh/mjbk2gcmfo2+85WIGtW2OU9bPn51qrvngB95if28NiOgBZj7rc+1OeTB1xQVYJkzlmizLj3kCmhu6Fl0uruk+H+ZzYDrDnad/sPkzAmvhztM/CExn9dvXZFy2YLAlYX/CHnXINuwzxymeJJW8si12QmA2EWGLhBaCYxIXUTLpDMrhrWjr6UAQmS1SiXtDGlXSVpfWwiZU70UwnVftrEW6IDTdHwdT1C9dkxYFOoVnolJViWTxiCMg1RhLlgKR/1iD5X3Z0p2eWpZvz8pVN2Ho7z3/H+u/M1AbrahnDESSnakiMyx2LXMVJCayFIDGpmKp23o6Bw+XY2N0Hnid5SAo4UobzSZxejBE9EtE9DgR/dkmAmQMh8eEL5olRjdzcY1Py/6sWDYzSwujUNCVPEmyOPj4OD/S+l3nwZtpn6ZxLNJVTusKWs9WsqOZe0lWl41SlvmNOPfIM23jI4O/AuDfA/i1doPixrQEgxzZ3Iv0c42IzAln8mIEwjiiGDjW7CRuQYgMxVLJldkTPngz7eAlLKoXA9gLCq3IzIGDA33hpBLry3jhyWhHlheD6YTdq0tBdEFYBE4Phpk/DOCpDYTFG0oY8eVZ7rF4KPmCJM0PG7oSRtw3m+VrwohDAxum7HOa1vJoeDrFHYff7319wM4dh98PtlVZFUR66dLMlMYlu5jNlnaj2pzLiynuoct+g/VEPogvzzolLsAaG3mJ6C4iOkdE586fP7+ux+L+j/7zlZ9Bs6ScWLqEl0sS+bx8jVonb9DFz2kKNhgYJ0l+SBnhjsPvD0KzAmr88XS6iGcdPJuBJw22PlRtQbUVm82Z7A1+k2+7zNoaeZn5PgD3Afk4mHU914RcDbKtq+FMIJGgx+PKau0lTF2YwrCIzCVb6TmFW+tzrYTIJO+7+Mu17rta8RHlummg3ku9nr2Qmc+BvmYyY5ICyTi/d3/P+S5TVah0jcgPw+q5dRTSTel8L5JKNBW9Ssu2FnlGNLCC6kti0fheG3IDoNzbJOOoRgWhsePl7aUpEGt6c+T2jnlSHTyn0nSQasP7FkLTG+T/VtoauRct8kc2rD9Luw12SmAiR+t6dOy/aVqJqXIfc1lkPAZgsTpNQG28M42bcY3sNHD73usAAO8f/6dG919piPgglygIVJExjWtRnyd1BnCagQaOjKx6Maq4TGfAcOAX5gJh5zaPJprOOyEyztQgot8E8HIA1xHRZwG8jZl/se2AybiEBWjotajCIiNExiEuFWERCEOMI/8Rvw26ta92oRHf3xpCZAy9jDyb+4uMyXMRdlhTaGiWOEVm2zgFhpm/axMBsaFWgQSimlRbXFRhMWVshytrFJfSsx2DsoQX4ykupp6oq01oTMKiHRZgQngxroFzjjQUdmAVGpMtyZ5UQ6EB9O2QrqVhN8FOVZF8G3a12LwVHVIDoJqpKY79xEW532j0niNDfbq5b997HcAZ3j/5De/w7RK3j15rHoovwWnqJzKWuF+km2c1VngzOntZ2JNmu5sKsq327I3AqhfTBVGR2SmBkaEkWy5fKQZGrWNuh0fPQq0RutK1WsODvTeD4hgsvivyaHwuZnvfPnrt4qddFxv5WwAsZ7Q7hEbEG/V71jQjKdNX0kh4lz5ipblf/LYQuzpCA9htumgfosk8X35ztP02F5XdFRh5bdxVhaVJd6UwJJvhSSUg60ZkeghV6RrNKNPlheaSaxfFpiIqOjgzi4w0Wtoaz0R+BYZLZBb24OlZyzbnKV4VhN0X99Nk3jmR2TmBabLothXH6E6t8c2TvAGYudx2IhkKz2YlF90kMrXRTTOwiIuKyLjiuz4wf/fqYVoDr+y/BoBn24mMKjKOaRglMs6HmpqW9FCqRjybgQZS+4hqG0R+3dstIvJHV4RmJwTmfQ/9FO685Z9uOxg5Nm9JGVou/23MOKLxz+ad2KghLstblplQZGzBpgRHfa+AMwbVjQebJ2NCFiLL+Ce1gBGjsK1CWFdkptO8ytTUk9HQFaHZCYFZGbVBtkF3sFZYhBdTYHO1F+cyzjOEdqCXp8g0EJX8NnfpLjK+6dr709/yetc3x//QeM4lIOLdtYTG1i6jxqspHsTQhDQDInvVqdKIrIqTsJc6QqOrds/mgKsb3ML7Hvqpxveug90RGN9BaToxEVUT9X7fthePNh6verxs2GqdPqL8vC4zNBSURdjqVBsc19uEY92sJDQCVXBscSHSkKLmHqWKrzeTJMuG30VhlC3/rRZILtFZR3V8DeyOwADlSBNiMbbMOBUJFUX5vbr7LSwmvenGMIgSS/FitJiM2jhkfXVREaxTXNZF3WpQo2rT8ub8/0L/ZcGRn6krIERcGN698GJk70VnC/MEPE9AI81Eoco7lXQXdqraSqkgnQN7I/39W2a3BEbGNfXe5VEIj6hIEFa9FPl+nYh4Vo2cjY46kVmTuFihqPKeTYiL/K7GorHai6tejdNWHN6MrYCRxIcn00pal6Y2OAf8WXqyRH7QTa7cIjuxJm+FVRZnluD5HFyULiXqrNsyT5ZVGxXfDCvex9laxaWOYGxSXIzvtDTUrjV8cjz7prUhfbX2Y0NtNC7u9x5b5bpuTXljXeyewPhEoC4R1C7HuTJIz4Wuh0E1LCE04qgjFk0antfENsSlC++uFeecVdNXPm3qBPB5b2GDrNp2w4mwXRKZ3RKYNXouJVx1cYHs7rpKLSEuLXklnLH2UK/zfd42aRJW2/ev/ZvktLRdJtuE75If6vKc6xKHjojM7rTB+EbYfL6sy2qGY1sT0HfCYZORw5q6v5oRbG0SvuLh62p3QVhk8vCk7i5sXWNt5Tl+PVDO+G8yxmie+C0ZYWlP4fkcpF2oqrC7LPNra+mAyOyOwIiV53qGRi5dZCrd0MYJinGUlySmSdXyc9K0/qCuxYMyuzgYGj69xWATjcNdwXNwXZ04Xf7mFjpbuHg2K4kHmeYdiXdoZmtzOrXPzhb2bhIa19rTG2J3BEagRlydZQ5MuwfM5sth/LYeAbkxVocweM35OtUAYdy1vIxtiYv83qbCu8q7PUUGQK14NXpA8jttcS55KNrJrERAmubTEXSeTBz5zQgXQrPGUcDrZLfaYFSSxDkGxbmav24+ic912peV21t0bSO+cJr6i0ZNcVlb9Uh97xpErnbYasRR3Z0dRHgqaejbrmZ6l2pjjhHDzjAzN5uwuwF2z4PRoS5xKX6uIywyPoPnbMHRPdundC+MltPqb8ZndMFzUX/viidjCyPgH04lXWpPyJRxFWCmdhmTN7OCnW6C3fVgVMVWIrqxuAjIs2dJwfheU6knfvcRCvlaj+tba8jtaltPzfixXlvnOTbUAZt1rleDpJ5TxaWDXsxuejBJs60/AFSWUQAA4zIKNT0ZL/d7nZnT8ixdl+1aRs76Ztw1eDE6gTR+w6rxKsLsI9x1luUE7D1GWaZdFgIASAz/V989mWrnN1GvV57T1AG6ExIPeOKx052hC9m0jAIAe8my4lq5xuubTORb8f6udU2baBrOVaYf+HaTl+7xXZYTsNqYvkpN4Mm0VnVsUeAW/6dRVaA2zc4IDF+W9oQ2rRrmIS5abIs6e5RqTcVF/tvXsNXMt9Y5PZtsP1nzu+qMfzHdK/5eu8iQY+9z21gd0/Nds7TTrJxntsRutsG4VuqXcGZ+R2nJaWrtDVpFXHx+l8+vZXSuq12h6bl1PccRPvv4lfJvTeO09gx03Tq88gjjNdigN2lWK3+0zc54MBXSrOzJaLyXNhJ2YXyiZ8GzxGvUVd1g7ExrNGnj2IBH5CMigiZejbdnKa8lYzhv9XQcM7a196teTIeERbAzHsz7nv6F6o9CrTckLsuT1WUOXCN0nUjjNJqMnfGahyOH2zaGpc1eojWEoemcI9mj8B1n5EpX7RgZ0/UrTmg1rg/dMa9FZmc9GNHSrkVOiAYt6nXEhSLSG3ydEa7rXFyq7hgP88P8Rqxu6jny8wBwtqay0cPLqnYKeKRnk/h3eDFIErCjV7O0KHkH2EmB8RYXQD82gCK9iKxjUJtpTEWdZzY1UNUDkJ/R5D3r8mRWiTfTN6wjjlzP8hxMqK1GGZ7JiTQfTnOeEOdV/4ZjWuSdD7Re/4bZKYGxCgvg1aXMaQqQX5XFmUF19/icX6VEr+Oh+GTCbYy8bULdaRN1v6mup9Ukbn3H2CRzc3uNxyZwznyyQXZKYKw4xKXksfhmqrqZ2ZdVhEX9tytT+GaEbbGKcNtEoYnQ1I2HxfWObuoGtmEdzOchMl1hpwTGuNZGneHVixM1vImiAXaj+I4sXYdn1WVW/X45nVuKB+u2tDYd8PCajELjEJlGaxa1wE4JDIDSfsOA3h1c7PnsO3TftRbstjLoLgtD19hSXLK0ftAq0xzkbuqFXQvxkRp2uyIsgp0TGIFYKFm7mFAR8T6jLPNrV1hEKhDwRNvlzXmjr5+dGs7NZp21X69QEdEdRPQpIvo0EXViD9eFiKwwnmXjkxMDVyc1JlDWPZc/vrtzzJwCQ0QxgP8A4E4AtwL4LiK6te2A2fARBuvkRt1vtu7lQGBVPEWmshe2w459zm0THw/mNgCfZuZHmHkG4N0AXt1usMxYh+/brpGqTcFzCWwF28hl+WfJVk3nlo/w3ABwS/gIzE0A/kb692eL3zZOK0OttRcGcQm0hKdtNfVWuiYyPo28uqbvSqWPiO4CcBcAfNEXfdGKwdJzf/pbrTw3EAi0g48H81kAz5P+fTOAz6kXMfN9zHyWmc+ePn16XeELBAI7jI/A/DGALyWiLyaiAYDXAPiv7QYrEAhcCTirSMycENE/AfB+5GOif4mZP9F6yAKBwM7jNdCOmf8AwB+0HJZAIHCF0c3hf4FA4IogCEwgEGiNIDCBQKA1gsAEAoHWCAITCARag1yLCDd6KNF5AJ9Z+4OB6wA80cJz10kI4+p0PXzA1R3G5zOz12jaVgSmLYjoHDOf3XY4bIQwrk7XwweEMPoSqkiBQKA1gsAEAoHW2DWBuW/bAfAghHF1uh4+IITRi51qgwkEArvFrnkwgUBgh9gZgeniwuMyRPRLRPQ4Ef3ZtsOig4ieR0QfJKKHiegTRPSGbYdJhYhGRPQxInqoCONPbjtMOogoJqI/IaLf33ZYTBDRo0T0f4noQSI6t7Vw7EIVqVh4/C8AfDPyBbD+GMB3MfOfbzVgEkT0MgBHAH6Nmb9y2+FRIaIbAdzIzB8nopMAHgDwHR2LQwJwwMxHRNQH8BEAb2Dm/7PloJUgojcBOAvgkJlfte3w6CCiRwGcZeatjtXZFQ+mUwuP62DmDwN4atvhMMHMn2fmjxd/XwLwMLa0trIJzjkq/tkvjk6VgER0M4BvBbD9neV3gF0RmM4sPH4lQERnALwEwB9tNyRViurHgwAeB3A/M3ctjD8D4McAdH1leAbwASJ6oFgveyvsisB4LTwecENEJwD8DoA3MvPFbYdHhZlTZn4x8rWfbyOizlQ3iehVAB5n5ge2HRYPXsrMX4V8P7MfKqrwG2dXBMZr4fGAnaJd43cA/AYzv2fb4bHBzBcAfAjAHVsOisxLAXx70b7xbgCvIKJf326Q9DDz54r/Pw7gd5E3M2ycXRGYsPD4ihQNqL8I4GFmvmfb4dFBRKeJ6FTx9x6AbwLwye2Gagkzv5WZb2bmM8ht8A+Z+Xu2HKwKRHRQNOSDiA4AvBLAVno3d0JgmDkBIBYefxjAb3dt4XEi+k0A/xvALUT0WSL6R9sOk8JLAbwOean7YHF8y7YDpXAjgA8S0Z8iL1TuZ+bOdgV3mBsAfISIHgLwMQD/nZnft42A7EQ3dSAQ2E12woMJBAK7SRCYQCDQGkFgAoFAawSBCQQCrREEJhAItEYQmEAg0BpBYAKBQGsEgQkEAq3x/wHOn73EwZbpvAAAAABJRU5ErkJggg==\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import fenics as fe\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import ufl\n", "\n", "fe.set_log_level(13)\n", "\n", "# --------------------\n", "# Functions and classes\n", "# --------------------\n", "def bottom(x, on_boundary):\n", " return (on_boundary and fe.near(x[1], 0.0))\n", "\n", "\n", "# Strain function\n", "def epsilon(u):\n", " return 0.5*(fe.grad(u) + fe.grad(u).T)\n", "\n", "\n", "# Stress function\n", "def sigma(u):\n", " return lmbda*fe.div(u)*fe.Identity(2) + 2*mu*epsilon(u)\n", "\n", "\n", "def calc_linear():\n", " fe.solve(a == l, u_small, bc)\n", " return u_small((2.5, 5.0))[1]\n", "\n", "\n", "def calc_nonlinear():\n", " Form = fe.derivative(psi, u_large, u_test)\n", " Jac = fe.derivative(Form, u_large, u_tr)\n", "\n", " problem = fe.NonlinearVariationalProblem(Form, u_large, bc, Jac)\n", " solver = fe.NonlinearVariationalSolver(problem)\n", " prm = solver.parameters\n", " prm[\"newton_solver\"][\"error_on_nonconvergence\"] = False\n", " solver.solve()\n", " \n", " return u_large((2.5, 5.0))[1]\n", "\n", "\n", "# --------------------\n", "# Parameters\n", "# --------------------\n", "# Lame's constants\n", "#lmbda = 1.25\n", "#mu = 20\n", "\n", "E = 20.0e6\n", "mu = 0.5*E\n", "rho_0 = 200.0\n", "\n", "# Lame's constants\n", "lmbda = 0.0\n", "\n", "l_x, l_y = 5.0, 5.0 # Domain dimensions\n", "n_x, n_y = 500, 500 # Number of elements\n", "\n", "# Load\n", "#g_int = fe.Expression(\"t\", t=0, degree=0)\n", "b_int = -10.0\n", "\n", "# --------------------\n", "# Geometry\n", "# --------------------\n", "mesh = fe.Mesh(\"external_mesh.xml\")\n", "\n", "fe.plot(mesh)\n", "plt.show()\n", "\n", "# Definition of Neumann condition domain\n", "boundaries = fe.MeshFunction(\"size_t\", mesh, mesh.topology().dim() - 1)\n", "boundaries.set_all(0)\n", "\n", "top = fe.AutoSubDomain(lambda x: fe.near(x[1], 5.0))\n", "\n", "top.mark(boundaries, 1)\n", "ds = fe.ds(subdomain_data=boundaries)\n", "\n", "# --------------------\n", "# Function spaces\n", "# --------------------\n", "V = fe.VectorFunctionSpace(mesh, \"CG\", 1)\n", "u_tr = fe.TrialFunction(V)\n", "u_test = fe.TestFunction(V)\n", "u_small = fe.Function(V)\n", "u_large = fe.Function(V)\n", "g = fe.Expression((0.0, \"t\"), t=0, degree=0)\n", "b = fe.Constant((0.0, b_int))\n", "N = fe.Constant((0.0, 1.0))\n", "\n", "aa, bb, cc, dd, ee = 0.5*mu, 0.0, 0.0, mu, -1.5*mu\n", "pseudo_time = np.linspace(0.0, 3.5e5, 100)\n", "\n", "# --------------------\n", "# Boundary conditions\n", "# --------------------\n", "bc = fe.DirichletBC(V, fe.Constant((0.0, 0.0)), bottom)\n", "\n", "# --------------------\n", "# Weak form\n", "# --------------------\n", "I = fe.Identity(2)\n", "F = I + fe.grad(u_large) # Deformation gradient\n", "C = F.T*F # Right Cauchy-Green tensor\n", "J = fe.det(F) # Determinant of deformation fradient\n", "\n", "#psi = (aa*fe.tr(C) + bb*fe.tr(ufl.cofac(C)) + cc*J**2 - dd*fe.ln(J))*fe.dx - fe.dot(b, u)*fe.dx + fe.inner(f, u)*ds(1)\n", "n = fe.dot(ufl.cofac(F), N)\n", "surface_def = fe.sqrt(fe.inner(n, n))\n", "psi = (aa*fe.inner(F, F) + ee - dd*fe.ln(J))*fe.dx - rho_0*J*fe.dot(b, u_large)*fe.dx + surface_def*fe.inner(g, u_large)*ds(1)\n", "\n", "a = fe.inner(sigma(u_tr), epsilon(u_test))*fe.dx\n", "l = rho_0*fe.dot(b, u_test)*fe.dx - fe.inner(g, u_test)*ds(1)\n", "\n", "# --------------------\n", "# Time-loop\n", "# --------------------\n", "u_lin = []\n", "u_nlin = []\n", "for ti in pseudo_time:\n", " g.t = ti\n", " u_lin.append(calc_linear()*1000.0)\n", " u_nlin.append(calc_nonlinear()*1000.0)\n", "\n", "# --------------------\n", "# Post-process\n", "# --------------------\n", "fe.plot(u_small, mode=\"displacement\")\n", "plt.show()\n", "fe.plot(u_large, mode=\"displacement\")\n", "plt.show()\n", "plt.plot(pseudo_time, u_lin, label=\"linear\")\n", "plt.plot(pseudo_time, u_nlin, label=\"non-linear\")\n", "plt.xlabel(\"pseudotime\")\n", "plt.ylabel(\"displacement [mm]\")\n", "plt.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 2 }