ΜMech micromechanics library. (October 2016)

• Record Type: Journal Article
• Authors: Svoboda, Ladislav; Šulc, Stanislav; Janda, Tomáš; Vorel, Jan; Novák, Jan
• Is Part Of: Advances in engineering software. Volume 100(2016)
• Page Start: 148
• Page End: 160
• Publication Date: 2016-10
• Subjects: C/C++ library -- Micromechanics -- Eshelby solution -- Polynomial eigenstrains -- Multiple inclusion problem -- Internal/External fields -- Analytical homogenization schemes; Computer-aided engineering -- Periodicals; Engineering -- Computer programs -- Periodicals; Engineering -- Software -- Periodicals; Periodicals; 620.0028553
• DOI: 10.1016/j.advengsoft.2016.07.010
• Languages: English
• ISSNs: 0965-9978

Abstract

Highlights: 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. 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.