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Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method

gping Shen1, S. N. Atluri1

Center for Aerospace Research & Education, University of California at Irvine, 5251 California Avenue, #140, Irvine, CA 92612, USA

Computer Modeling in Engineering & Sciences 2004, 5(3), 235-256.


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.

Cite This Article

Shen, G., Atluri, S. N. (2004). Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method. CMES-Computer Modeling in Engineering & Sciences, 5(3), 235–256.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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