μMech micromechanics library

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 selfcompatibility 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.

Abaqus2Matlab: A suitable tool for finite element post-processing

“…For instance, Sigmund and co-workers presented an efficient topology optimization implementation [3,4], Bordas and collaborators [5][6][7] described an object-oriented programming library for the extended finite element method (X-FEM) and meshless methods, Giner et al [8] implemented the X-FEM in Abaqus through a user subroutine, Parks and Paulino [9] described the numerical implementation of the PPR potential-based cohesive zone model, Nguyen [10] proposed an open source program to generate zero-thickness cohesive elements and Martínez-Pañeda and Gallego [11] provided a user subroutine to effectively define the material property variation of functionally graded materials in Abaqus. Other open-source software that has recently contributed to scientific progress includes FReET [12], a code to conduct statistical, sensitivity and reliability assessment; FraMePID-3PB [13], a tool to identify fracture parameters in concrete through inverse analysis; NiHu [14], an open source C++ library for the boundary element method; ESFM [15], a general framework for meshless methods; NOSA-ITACA [16], a finite element code for masonry structures; PCLab [17], an object-oriented Monte Carlo/Finite Element software; and, µMECH [18], an open source C/C++ library of analytical solutions to classical micromechanical problems.…”