μMech micromechanics library

•A first micromechanical library, as far as we are aware of•Multiple inclusion problem based on polynomial Eshelby solution to the single inclusion problem.•Consistent implementation of analytical homogenization schemes including a novel direct integration method.

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.