$\mu$MECH Micromechanics Library

TL;DR

The paper introduces $MECH, an open source C/C++ library providing analytical solutions for micromechanical fields in media with ellipsoidal heterogeneities, incorporating inclusion interactions and homogenization tools.

Contribution

It presents a novel open source library that implements analytical micromechanical solutions, including inclusion interactions and homogenization, with comparison to finite element reference solutions.

Findings

Library effectively models micromechanical fields in heterogeneous media.

Inclusion interactions are partially accounted for via self-compatibility algorithm.

Comparisons show good agreement with finite element solutions.

Abstract

The paper presents the project of an open source C/C++ library of analytical solutions to micromechanical fields within media with ellipsoidal heterogeneities. The solutions are based on Eshelby's stress-free, in general polynomial, eigenstrains and equivalent inclusion method. To some extent, the interactions among inclusions in a non-dilute medium are taken into account by means of the self-compatibility algorithm. Moreover, the library is furnished with a powerful I/O interface and conventional homogenization tools. Advantages and limitations of the implemented strategies are addressed through comparisons with reference solutions by means of the Finite Element Method.