A finite element based homogenization code in python: HomPy

Abstract

The ability to predict the effective material property of composites with periodic micro-structures based on homogenization theory has been an effective method to analyze structures with complex heterogeneities. Homogenization codes have been made available for educational purposes including the homogenization code for the prediction of effective elasticity and thermal material properties in MATLAB. The aim of this educational paper is to present a Python version of the existing homogenization code and provide detailed diagrams of its key modules extending its ability to conduct analysis and design studies possibly via integration into commercial FEM software. Python has become a popular programming language due to its wide applicability to several disciplines, its portability, its flexibility by means of programming paradigms, its open-source nature, its well-documented libraries, and its easy-to-learn syntax. To increase the applicability and community reach of the homogenization algorithm presented, we provide a Python translation of the well-known MATLAB implementation. By doing so, we aim to increase the integration potential and adaptability of the homogenization approach to other computing packages and target adoption by a wider audience by leveraging the advantages of basing the solution on a free and open-source platform.