Multiscale simulation based on the meshless local petrov-galerkin (MLPG) method

Shengping Shen, S. N. Atluri

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate time-dependent interfacial conditions, between the atomistic and continuum regions, are systematically studied, for the seamless multiscale simulation, by decomposing the displacement of atoms in the equivalent-continuum region into long and short wave-length components. All of these methods for enforcing the interface conditions can ensure the passage of information accurately between the atomistic and continuum regions, while they lead to different performances at short wavelengths. The presently proposed Solution Method 2 reduces the phonon reflections at the interface, without increasing the computational burden. Multiple length scale, multiple time step, and meshless local Petrov-Galerkin (MLPG) methods are used in the numerical examples.

Original languageEnglish
Pages (from-to)235-255
Number of pages21
JournalCMES - Computer Modeling in Engineering and Sciences
Volume5
Issue number3
StatePublished - 2004

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