Title: A meshfree particle method with stress points and its applications at the nanoscale

Authors: Shaoping Xiao, Weixuan Yang

Addresses: Department of Mechanical and Industrial Engineering, Centre for Computer-Aided Design, University of Iowa, Iowa City, IA, USA. ' Department of Mechanical and Industrial Engineering, Centre for Computer-Aided Design, University of Iowa, Iowa City, IA, USA

Abstract: In this paper, a meshfree particle method with the stress point integration scheme is studied. It has been shown that this meshfree particle method with Lagrangian kernel can provide a stable method. A finite element mapping technique is introduced to insert stress points and to calculate volumes associated with particles/stress points so that the triangulation and the Voronoi diagram can be avoided. This meshfree particle method can be used for nanoscale simulations via the implementation of the Cauchy-Born rule. It can also be coupled with molecular dynamics based on the bridging domain coupling technique.

Keywords: meshfree particle methods; Lagrangian kernel; stress points; stability; nanoscale technology; nanotechnology; finite element mapping; nanoscale simulation; molecular dynamics.

DOI: 10.1504/IJCSE.2006.012775

International Journal of Computational Science and Engineering, 2006 Vol.2 No.3/4, pp.213 - 220

Available online: 14 Mar 2007 *

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