Dynamic analysis of three-dimensional polycrystalline materials using the boundary element method

BESLE: Boundary element software for 3D linear elasticity

“…Program Title: BESLE CPC Library link to program files: (to be added by Technical Editor) Developer's repository link: https://github.com/Afgr1087/BESLE_v1.0.git Licensing provisions: GPL-v3.0 Programming language: Fortran 90, C++/C External libraries: LAPACK [1], BLAS [2], SCOTCH [3], ScaLAPACK [4], MUMPS [5], Voro++ [6], Triangle [7] Nature of problem: The solution of 3D elasticity models of heterogeneous materials is often arduous owing to the complexity of the underlying system of partial differential equations.…”

“…In Eq. ( 6), α j n represents unknown coefficients that are functions of radial expressions related to the body force term ρ üi , see details in [6,36]. The ûm in term is called a particular solution, and in BESLE, and many other studies in the literature, it is a radial function [35] written as…”

“…Some additional desirable features include the possibility to assess high-gradient mechanical fields and accurate solutions at material points within the domain. The BEM has been successfully implemented in homogenization, failure and multiscale analyses in polycrystal aggregates [4][5][6][7][8][9], composites [10][11][12] and bone tissue [13,14] and has been shown to be a versatile and adaptable method for realistic continuum modelling.…”

A fully dynamic bridging approach for modeling the intergranular failure mechanisms in 2D polycrystalline materials

“…To illustrate a typical multiscale approach, Figure 1 describes the range of space and time scales for a connecting rod. The BEM is a powerful numerical method to model high stress and strain gradients, typical of problems with sharp corners or cracks, only using the surface discretization (Galvis et al, 2018). These features make the BEM particularly appealing for modeling polycrystal aggregates and multiscale failure analysis coupled with other numerical approaches (Galvis and Sollero, 2016;Alvarez et al, 2018;Galvis et al, 2018).…”

“…The BEM is a powerful numerical method to model high stress and strain gradients, typical of problems with sharp corners or cracks, only using the surface discretization (Galvis et al, 2018). These features make the BEM particularly appealing for modeling polycrystal aggregates and multiscale failure analysis coupled with other numerical approaches (Galvis and Sollero, 2016;Alvarez et al, 2018;Galvis et al, 2018). In order to model failure in crystals, Sfantos and Aliabadi (2007) introduced a 2D macro and micro analysis of polycrystalline materials under static loads.…”