Multiscale modeling of nano/micro systems by a multiscale continuum field theory

  • Authors:

  • Xiaowei Zeng;Xianqiao Wang;James D. Lee;Yajie Lei

  • Affiliations:

  • Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, USA 94720;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, USA 20052;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, USA 20052;Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, USA 20052

  • Venue:
  • Computational Mechanics
  • Year:
  • 2011

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Abstract

This paper presents a multiscale continuum field theory and its application in modeling and simulation of nano/micro systems. The theoretical construction of the continuum field theory will be briefly introduced. In the simulation model, a single crystal can be discretized into finite element mesh as in a continuous medium. However, each node is a representative unit cell, which contains a specified number of discrete and distinctive atoms. Governing differential equations for each atom in all nodes are obtained. Material behaviors of a given system subject to the combination of mechanical loadings and temperature field can be obtained through numerical simulations. In this work, the nanoscale size effect in single crystal bcc iron is studied, the phenomenon of wave propagation is simulated and wave speed is obtained. Also, dynamic crack propagation in a multiscale model is simulated to demonstrate the advantage and applicability of this multiscale continuum field theory.