Open Access

ABSTRACT

Bridging Domain Multiscale Method

S.P. Xiao¹

1 Department of Mechanical and Industrial Engineering, Center for Computer-Aided Deisgn, University of Iowa, Iowa City, IA. 52242, USA

The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(1), 15-20. https://doi.org/10.3970/icces.2007.003.015

Abstract

A bridging domain method for coupling continuum models with molecular models is described. In this method, the continuum and molecular domains are overlapped in a bridging subdomain, where the Hamiltonian is taken to be a linear combination of the continuum and molecular Hamiltonians. We enforce the compatibility in the bridging domain by Lagrange multipliers or by the augmented Lagrangian method. An explicit algorithm for dynamic solutions is developed. In this paper, the bridging domain multiscale method is employed to study nanotube-based composites.

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