{ "cells": [ { "cell_type": "markdown", "id": "47a1546e-1a5d-49f2-85ad-10927c030342", "metadata": {}, "source": [ "# EAM Analysis" ] }, { "cell_type": "code", "execution_count": 1, "id": "9ab98796-5bff-4409-82f8-251e8ce54da8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'1.0.0a2'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import mdapy as mp\n", "from mdapy.potential_tool import get_eos\n", "mp.__version__" ] }, { "cell_type": "markdown", "id": "aed998bd-7b84-43b9-8ed0-0db260bf4148", "metadata": {}, "source": [ "### Generate an EAM alloy for CoNiFeAlCu" ] }, { "cell_type": "code", "execution_count": 2, "id": "c9f87325-0923-46c6-a3ba-51e47c78bd52", "metadata": {}, "outputs": [], "source": [ "element_list = ['Co', 'Ni', 'Fe', 'Al', 'Cu']\n", "element_ratio = [0.25, 0.25, 0.25, 0.075, 0.175]" ] }, { "cell_type": "code", "execution_count": 3, "id": "a7c18252-c573-4a04-8091-b7b44339db6c", "metadata": {}, "outputs": [], "source": [ "mp.EAMGenerator(element_list);" ] }, { "cell_type": "code", "execution_count": 4, "id": "8f468cc4-412d-407b-8a9a-fb93b1c5d82a", "metadata": {}, "outputs": [], "source": [ "eam = mp.EAM('CoNiFeAlCu.eam.alloy')" ] }, { "cell_type": "markdown", "id": "bb96bd02-8328-4692-ac90-f81ec9349172", "metadata": {}, "source": [ "### Generate an average EAM" ] }, { "cell_type": "code", "execution_count": 5, "id": "f664ef53-b9b9-4101-88a2-0bc17081d009", "metadata": {}, "outputs": [], "source": [ "mp.EAMAverage('CoNiFeAlCu.eam.alloy', element_ratio);" ] }, { "cell_type": "code", "execution_count": 6, "id": "8504ca5d-b07a-43ea-a450-7a961f3bfbbf", "metadata": {}, "outputs": [], "source": [ "eam_ave = mp.EAM('CoNiFeAlCu.average.eam.alloy')" ] }, { "cell_type": "markdown", "id": "d8fbe7d3-893a-48fd-8968-ce57b52cfc75", "metadata": {}, "source": [ "### Check EAM data" ] }, { "cell_type": "code", "execution_count": 7, "id": "a4aa0612-2f59-45aa-a3a1-91dffbe83e65", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = eam_ave.plot()\n", "ax[2].set_ylim(-20, 400);" ] }, { "cell_type": "markdown", "id": "76ffde08-135e-4c4a-8ca4-4256dbaae1f8", "metadata": {}, "source": [ "### Compare the mechanical properties predicted by EAM and average EAM" ] }, { "cell_type": "code", "execution_count": 8, "id": "25a38044-bd63-46b0-8268-9b9a68e68005", "metadata": {}, "outputs": [], "source": [ "a_model = mp.build_crystal('A', 'fcc', 3.6, nx=3, ny=3, nz=3)\n", "a_model.calc = eam_ave\n", "a_eos = get_eos(a_model, 0.9, 1.1, 21)" ] }, { "cell_type": "code", "execution_count": 9, "id": "e17e7f8f-cd70-4baf-bf0f-ab6c5cd56bb7", "metadata": {}, "outputs": [], "source": [ "model = mp.build_hea(element_list, element_ratio, 'fcc', 3.6, nx=3, ny=3, nz=3, random_seed=1)\n", "model.calc = eam\n", "eos = get_eos(model, 0.9, 1.1, 21)" ] }, { "cell_type": "markdown", "id": "8b7d07e2-b6bc-429c-891a-9f0e94706421", "metadata": {}, "source": [ "### Compare with lammps" ] }, { "cell_type": "markdown", "id": "73a1a105-f4f8-4787-9e35-4797452d8d26", "metadata": {}, "source": [ "Make sure you have installed LAMMPS python package" ] }, { "cell_type": "code", "execution_count": 10, "id": "cd4fd094-8585-49e2-89cb-8ca42310c095", "metadata": {}, "outputs": [], "source": [ "from mdapy.lammps_potential import LammpsPotential" ] }, { "cell_type": "code", "execution_count": 11, "id": "3bdb9f62-0580-42c9-8348-17095d93c5bc", "metadata": {}, "outputs": [], "source": [ "eam_lmp = LammpsPotential(\n", " pair_parameter=\"\"\"\n", " pair_style eam/alloy\n", " pair_coeff * * CoNiFeAlCu.eam.alloy Co Ni Fe Al Cu\n", " \"\"\",\n", " element_list=element_list\n", ")\n", "model.calc = eam_lmp\n", "eos_lmp = get_eos(model, 0.9, 1.1, 21)" ] }, { "cell_type": "code", "execution_count": 12, "id": "cb68b304-7cfc-4568-a03f-17fcc0cf5cb7", "metadata": {}, "outputs": [], "source": [ "eam_lmp_a = LammpsPotential(\n", " pair_parameter=\"\"\"\n", " pair_style eam/alloy\n", " pair_coeff * * CoNiFeAlCu.average.eam.alloy A\n", " \"\"\",\n", " element_list=['A']\n", ")\n", "a_model.calc = eam_lmp_a\n", "a_eos_lmp = get_eos(a_model, 0.9, 1.1, 21)" ] }, { "cell_type": "code", "execution_count": 13, "id": "4621bc73-c3c9-427d-b7f0-d3c3c68d7d8c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'PE (eV/atom)')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = mp.set_figure()\n", "\n", "ax.plot(eos[:, 0], eos[:, 1], label='HEA')\n", "ax.plot(eos_lmp[:, 0], eos_lmp[:, 1], '--', label='HEA_lmp')\n", "ax.plot(a_eos[:, 0], a_eos[:, 1], 'o', label='Ave')\n", "ax.plot(a_eos_lmp[:, 0], a_eos_lmp[:, 1], '*', label='Ave_lmp')\n", "ax.legend()\n", "\n", "ax.set_xlabel(r'Volume ($\\mathregular{A^3}$/atom)')\n", "ax.set_ylabel('PE (eV/atom)')" ] }, { "cell_type": "code", "execution_count": 14, "id": "4dc694af-8236-4fa2-a5ec-99fc0119368f", "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "os.remove('CoNiFeAlCu.average.eam.alloy')\n", "os.remove('CoNiFeAlCu.eam.alloy')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.13" } }, "nbformat": 4, "nbformat_minor": 5 }