{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-phase-field model for grain growth (Steinbach's model)\n", "This python code was developed by Yamanaka research group of Tokyo University of Agriculture and Technology in August 2019." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem\n", "Let us consider an example: polycrystalline grain growth in a system containing four crystal grains (three crystal grains in a mother phase (grain)). \n", "This notebook shows one-dimensional multi-phase-field simulation of polycrystalline growth using the multi-phase-field model proposed by Professor Ingo Steinbach. \n", "\n", "For details of the model, please see reference (*I. Steinbach and F. Pezzolla, \"A generalized field method for multiphase transformations using interface fields,\" Physica D: Nonlinear Phenomena, Vol. 134 (1999), pp. 385-393.*).\n", "## Formulation\n", "### 1. Order parameter\n", "Phase-field variable $\\phi_{i}$ ($i$ = 1, 2, ..., $N$) is defined as $\\phi _{i}= 1$ inside $i$-th grain and $\\phi_{i} = 0$ outside of the grain. The phase-field variable $\\phi_{i}$ smoothly changes from 0 to 1 in an \"diffuse\" interfacial region (grain boundary). $N$ is the total number of crystal grains at the initial condition. In this source code, we use $N$ = 4. \n", "\n", "The phase-field variable must satisfies the following constraint: \n", "$$\n", "\\sum_{i=1}^{N}\\phi_{i} = 1\n", "$$\n", "### 2. Total free energy\n", "The total Gibbs free energy of the system is defined by\n", "$$\n", "G = \\int_{V} \\left[ g_{chem} + g_{doub} + g_{grad} + \\lambda \\left( \\sum_{i}^{N}\\phi_{i} -1 \\right) \\right] dV\n", "$$\n", "where $\\lambda$ is the Lagrange multiplier in the last term which is introduced into the total free energy so that the sum of the phase-field variable is 1. $g_{chem}$, $g_{doub}$, and $g_{grad}$ are the chemical free energy, the double-obstacle potential energy and the gradient energy densities, respectively. Note that the double-well potential energy is not used, but the double-obstacle potential is used for this multi-phase-field model. These energy densities are defined as follows: \n", "$$\n", "g_{chem} = \\sum_{i}^{N} \\phi_{i} g_{i}\n", "$$\n", "$$\n", "g_{doub} = \\sum_{i}^{N}\\sum_{j=i+1}^{N} W_{ij}\\phi_{i}\\phi_{j}\n", "$$\n", "$$\n", "g_{grad} = \\sum_{i}^{N}\\sum_{j=i+1}^{N} \\left( -\\frac{a_{ij}^{2}}{2}\\nabla\\phi_{i}\\cdot\\nabla\\phi_{j} \\right)\n", "$$\n", "where $g_{i}$ is Gibbs free energy density of $i$-th grain. Here, $g_{i}$ is assumed to be constant. \n", "\n", "$W_{ij}$ and $a_{ij}$ are the height of double-obstacle potential energy and the gradient energy coefficient, respectively, which are given by\n", "$$\n", "W_{ij} = \\frac{4\\sigma_{ij}}{\\delta}\n", "$$\n", "$$\n", "a_{ij} = \\frac{2}{\\pi}\\sqrt{2\\delta\\sigma_{ij}}\n", "$$\n", "where $\\sigma_{ij}$ is the grain boundary energy between $i$-th and $j$-th grains. $\\delta$ is the thickness of grain boundary \n", "(please see Appendix in the handout for the derivations). Note that in this source code, the diagonal components of $\\sigma_{ij}$ is assumed to be zero. \n", "\n", "### 3. Time evolution equation \n", "The time evolution of the phase-field variables (that describes the grain boundary migration) is given by assuming that the total free energy of the system $G$ decreases monotonically with time. \n", "$$\n", "\\frac{\\partial \\phi_{i}}{\\partial t} = -\\frac{2}{N} \\sum_{j=1}^{N} M^{\\phi}_{ij} \\left( \\frac{\\delta G}{\\delta \\phi_{i}} - \\frac{\\delta G}{\\delta \\phi_{j}} \\right)\n", "$$\n", "where the functional derivative is expressed by: \n", "$$\n", "\\frac{\\delta G}{\\delta \\phi}=\\frac{\\partial g}{\\partial \\phi}-\\nabla\\cdot\\frac{\\partial g}{\\partial (\\nabla \\phi)}\n", "$$\n", "Therefore, \n", "$$\n", "\\frac{\\delta G}{\\delta \\phi_{i}} = \\sum_{j=1}^{N} \\left( \\frac{1}{2} a_{ij}^{2} \\nabla^{2}\\phi_{j}\\right) + \\sum_{j=1}^{N} W_{ij}\\phi_{j} +g_{i} + \\lambda\n", "$$\n", "$M_{ij}^{\\phi}$ is the mobility of phase-field variables and is given by: \n", "$$\n", "M_{ij}^{\\phi} = \\frac{\\pi^{2}}{8\\delta}M_{ij}\n", "$$\n", "Here, $M_{ij}$ is the mobility of grain boundary between $i$-th and $j$-th grains. \n", "The diagonal components of $M_{ij}$ is assumed to be zero. \n", "\n", "The final form of the time evolution equation of the phase-field variables is given by the following equation: \n", "$$\n", "\\frac{\\partial \\phi_{i}}{\\partial t} = -\\frac{2}{N} \\sum_{j=1}^{N} M^{\\phi}_{ij} \\left( \n", "\\sum_{k=1}^{N} \\left( \\frac{1}{2} \\left( a_{ik}^{2} - a_{jk}^{2} \\right) \\nabla^{2}\\phi_{k} + \\left( W_{ik} - W_{jk} \\right) \\phi_{k} \\right) + g_{i} - g_{j}\n", "\\right)\n", "$$\n", "where the term $g_{i}-g_{j}$ corresponds to the driving force of the migration of grain boundary between $i$-th and $j$-th grains. \n", "\n", "For stable computation, the driving force term is replaced by \n", "$$\n", "g_{i}-g_{j} = -\\frac{8}{\\pi}\\sqrt{\\phi_{i}\\phi_{j}}\\Delta G_{ij}\n", "$$\n", "where $\\Delta G_{ij}$ is the magnitude of the driving force. In this code, the driving force only at the grain boundary between mother phase and other grains is non-zero value. The grain ID of the mother grain is defined as 0 in this program. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### import libraries" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from numpy.random import *\n", "import matplotlib.pyplot as plt\n", "import math" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### set parameters and physical values" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "nx = 64 # number of computational grids along x direction\n", "number_of_grain = 4 # total number of grains: N\n", "dx = 0.5e-6 # spacing of computational grids [m]\n", "dt = 0.05 # time increment [s]\n", "nsteps = 10000# total number of time-steps\n", "pi = np.pi \n", "sigma = 1.0 # grain boundary energy [J/m2]\n", "delta = 6.0 * dx # thickness of diffuse interface\n", "eee = 1.0e+6 # magnitude of driving force" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### calculate phase-field parameters ($a, W$ and $M_{\\phi}$)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "aaa = 2.0 / pi * np.sqrt(2.0*delta*sigma) # gradient energy coefficient\n", "www = 4.0 * sigma/delta # height of double-obstacle potential\n", "pmobi = pi*pi/(8.*delta)*1.0e-13 # mobility of phase-field " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### declair arrays for the phase-field parameters ($a_{ij}, W_{ij}$ and $M_{ij}^{\\phi}$)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "wij = np.zeros((number_of_grain,number_of_grain)) # array for the height of double-obstacle potential\n", "aij = np.zeros((number_of_grain,number_of_grain)) # array for the gradient energy coefficient\n", "mij = np.zeros((number_of_grain,number_of_grain)) # array for the mobility of phase-field " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### declair arrays for the phase-field variables, grain ID, and number of grain" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "phi = np.zeros((number_of_grain,nx)) # phase-field variable at time t\n", "phi_new = np.zeros((number_of_grain,nx)) # phase-field variable at time t+dt\n", "mf = np.zeros((15,nx),dtype = int) # array for saving the grain IDs at the computational grid [i, j] \n", "nf = np.zeros((nx),dtype = int) # array for saving the number of grains at the computational grid [i, j] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### declair arrays for dirving force $\\Delta G_{ij}$ and grain boundary (only for visualization)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "eij = np.zeros((number_of_grain,number_of_grain)) # arrays for saving the magnitude of driving foce of grain boundary migration\n", "gb = np.zeros((nx)) # array for visuallizing the grain boundary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### calculate the phase-field parameters ($a_{ij}, W_{ij}$ and $M_{ij}^{\\phi}$) and the driving force $\\Delta G_{ij}$\n", "Remind that the diagonal terms of the parameters $a_{ij}$, $W_{ij}$ and $M_{ij}^{\\phi}$ are assumed to be zero. " ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "for i in range(0,number_of_grain):\n", " for j in range(0,number_of_grain):\n", " wij[i,j] = www\n", " aij[i,j] = aaa\n", " mij[i,j] = pmobi\n", " eij[i,j] = 0.0\n", " if i == j:\n", " wij[i,j] = 0.0\n", " aij[i,j] = 0.0\n", " mij[i,j] = 0.0\n", " if i == 0 or j == 0:\n", " eij[i,j] = eee\n", " if i < j:\n", " eij[i,j] = -eij[i,j]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### define the function which updates the grain ID (array: nf) and the number of grains (array: mf)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "def update_nfmf(phi,mf,nf):\n", " for l in range(nx):\n", " l_p = l + 1\n", " l_m = l - 1\n", " if l_p > nx-1:\n", " l_p = l_p - nx\n", " if l_m < 0:\n", " l_m = l_m + nx\n", " n = 0\n", " for i in range(number_of_grain):\n", " if phi[i,l] > 0.0 or (phi[i,l] == 0.0 and phi[i,l_p] > 0.0 or phi[i,l_m] > 0.0):\n", " n += 1\n", " mf[n-1,l] = i\n", " nf[l] = n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### define the function which updates the phase-field variables $\\phi_{i}$ by Allen-Cahn equation\n", "The time evolution equation is discretized by simple finite difference method in this program. \n", "The 1st-order Euler method is used for time-integration. The 2nd-order central finite difference method is used for spatial derivatives. The discretized time evolution equation is given as: \n", "$$\n", "\\phi^{t+\\Delta t}_{i,l} = \\phi^{t}_{i,l} -\\frac{2}{N} \\sum_{j=1}^{N} M^{\\phi}_{ij} \\left( \n", "\\sum_{k=1}^{N} \\left( \\frac{1}{2} \\left( a_{ik}^{2} - a_{jk}^{2} \\right) P_{k,l} + \\left( W_{ik} - W_{jk} \\right) \\phi_{k,l} \\right) + \\frac{8}{\\pi}\\sqrt{\\phi_{i,l}\\phi_{j,l}}\\Delta G_{ij}\n", "\\right)\n", "$$\n", "where $\\phi_{i,l}^{t}$ denotes the phase-field variable at a computational grid point $l$ ($l$ = 1,2,...,nx) at time t. The Laplacian of $\\phi_{i,l}$ is calculated by: \n", "$$\n", "\\nabla^{2}\\phi_{k,l} = P_{k,l} = \\frac{\\phi^{t}_{k,l+1}-2\\phi^{t}_{k,l}+\\phi^{t}_{k,l-1}}{(\\Delta x)^{2}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "def update_phasefield(phi,phi_new,mf,nf,eij):\n", " for l in range(nx):\n", " l_p = l + 1\n", " l_m = l - 1\n", " if l_p > nx-1: \n", " l_p = l_p - nx\n", " if l_m < 0:\n", " l_m = l_m + nx\n", " for n1 in range(nf[l]):\n", " i = mf[n1,l]\n", " dpi = 0.0\n", " for n2 in range(nf[l]):\n", " j = mf[n2,l]\n", " ppp = 0.0\n", " for n3 in range(nf[l]):\n", " k = mf[n3,l]\n", " ppp += (wij[i,k]-wij[j,k])*phi[k,l]+0.5*(aij[i,k]**2 - aij[j,k]**2)*(phi[k,l_p]-2.0*phi[k,l]+phi[k,l_m])/dx/dx\n", "# dpi = dpi - 2.0 * mij[i,j] / float(nf[l]) * ppp\n", " phii_phij = phi[i,l]*phi[j,l]\n", " dpi = dpi - 2.0 * mij[i,j] / float(nf[l]) * (ppp - 8./pi*np.sqrt(phii_phij)*eij[i,j])\n", " phi_new[i,l] = phi[i,l] + dpi *dt\n", "\n", " phi_new = np.where(phi_new <= 0.0,0.0,phi_new)\n", " phi_new = np.where(phi_new >= 1.0,1.0,phi_new)\n", "\n", " for l in range(nx):\n", " a = np.sum(phi_new[:,l])\n", " phi[:,l] = phi_new[:,l] / a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### set initial distribution of phase-field variables\n", "The initial distribution of crystal grains (region of $\\phi_{i} = 1$) is determined randomly. \n", "\n", "The initial profile of the phase-field variables is calculated using the equilibrium profile: \n", "$$\n", "\\phi = \\frac{1}{2}\\left[1-\\sin \\frac{\\sqrt{2W}}{a}(r-r_{0}) \\right]\n", "$$\n", "where $r_{0}$ denotes the initial position of the interface. " ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phi = np.zeros((number_of_grain,nx))\n", "phi_new = np.zeros((number_of_grain,nx))\n", "mf = np.zeros((15,nx),dtype = int)\n", "nf = np.zeros((nx),dtype = int)\n", "\n", "phi[0,:] = 1.0\n", "nf[:] = 1\n", "r_nuclei = 4.*dx # radius of the initial grains\n", "\n", "for i in range(1,number_of_grain-1):\n", " x_nuclei = int(rand()*nx)\n", " for l in range(nx):\n", " if l > nx-1: \n", " l = l - nx\n", " if l < 0:\n", " l = l + nx\n", " r = np.sqrt( (l *dx-x_nuclei*dx)**2) - r_nuclei\n", " tmp = np.sqrt(2.*www)/aaa*r\n", " phi_tmp = 0.5*(1.-np.sin(tmp))\n", " if tmp >= pi/2.:\n", " phi_tmp=0.\n", " if tmp <= -pi/2.:\n", " phi_tmp=1.\n", " nf[l] = nf[l] -1\n", " if phi_tmp > 0: \n", " nf_tmp = nf[l]+1\n", " nf[l] = nf_tmp\n", " mf[nf_tmp,l] = i\n", " phi[i,l] = phi_tmp \n", " phi[0,l] = phi[0,l]-phi[i,l]\n", "\n", "for l in range(0,nx):\n", " gb[l] = np.sum(phi[:,l]*phi[:,l])\n", "\n", "fig = plt.figure(figsize=(10,8))\n", "fig.set_dpi(80)\n", "plt.subplots_adjust(hspace=0.2)\n", "\n", "plt.subplot(2,2, 1)\n", "plt.plot(phi[0,:],color=\"b\",marker=\"o\")\n", "plt.title('phase field 0')\n", "plt.subplot(2,2, 2)\n", "plt.plot(phi[1,:],color=\"y\",marker=\"o\")\n", "plt.title('phase field 1')\n", "plt.subplot(2,2, 3)\n", "plt.plot(phi[2,:],color=\"g\",marker=\"o\")\n", "plt.title('phase field 2')\n", "plt.subplot(2,2, 4)\n", "plt.plot(nf[:],marker=\"o\")\n", "plt.title('number of grains')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### calculate time evolution of phase-field variables (simulate grain growth behavior) in 1D\n", "In order to further simulate the grain growth, run this script for many times. Finally, the system will be a single crystal. " ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nstep = 500\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 1000\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 1500\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 2000\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 2500\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 3000\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 3500\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 4000\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "nstep = 4500\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "ename": "KeyboardInterrupt", "evalue": "", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mnstep\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mnsteps\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m 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eij)\u001b[0m\n\u001b[1;32m 25\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 26\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0ml\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 27\u001b[0;31m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mphi_new\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0ml\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 28\u001b[0m \u001b[0mphi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0ml\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m 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69\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_wrapreduction\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mufunc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmethod\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 70\u001b[0;31m passkwargs = {k: v for k, v in kwargs.items()\n\u001b[0m\u001b[1;32m 71\u001b[0m if v is not np._NoValue}\n\u001b[1;32m 72\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mKeyboardInterrupt\u001b[0m: " ] } ], "source": [ "for nstep in range(1,nsteps+1):\n", " update_nfmf(phi,mf,nf)\n", " update_phasefield(phi,phi_new,mf,nf,eij)\n", " \n", " if nstep % 500 == 0:\n", " print('nstep = ', nstep)\n", " for l in range(0,nx):\n", " gb[l] = np.sum(phi[:,l]*phi[:,l])\n", "\n", " fig = plt.figure(figsize=(7,7))\n", " fig.set_dpi(90)\n", " plt.subplots_adjust(hspace=0.3)\n", "\n", " plt.subplot(2,1, 1)\n", " plt.ylim([0,1])\n", " plt.xlim([0,nx])\n", " plt.xlabel('Grid number')\n", " plt.ylabel('phase-field variables')\n", " plt.plot(phi[0,:],color=\"b\",marker=\"o\",label=\"phase field 0\")\n", " plt.legend(loc=\"upper left\")\n", " plt.subplot(2,1, 1)\n", " #plt.title('phase field 1')\n", " plt.plot(phi[1,:],color=\"y\",marker=\"o\",label=\"phase field 1\")\n", " plt.legend(loc=\"upper left\")\n", " plt.subplot(2,1, 1)\n", " #plt.title('phase field 2')\n", " plt.plot(phi[2,:],color=\"g\",marker=\"o\",label=\"phase field 2\")\n", " plt.legend(loc=\"upper left\")\n", " plt.subplot(2,1, 2)\n", " plt.xlim([0,nx])\n", " plt.ylim([0,4])\n", " plt.xlabel('Grid number')\n", " plt.ylabel('number of grains')\n", " plt.plot(nf[:],marker=\"o\")\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }