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.
Cite
@article{arxiv.1602.05421,
title = {$\mu$MECH Micromechanics Library},
author = {Ladislav Svoboda and Stanislav Šulc and Tomáš Janda and Jan Vorel and Jan Novák},
journal= {arXiv preprint arXiv:1602.05421},
year = {2016}
}