Nanotech 2007 Vol. 1
Nanotech 2007 Vol. 1
Technical Proceedings of the 2007 NSTI Nanotechnology Conference and Trade Show, Volume 1

Nanoscale Modeling Chapter 6

A Temperature-related Homogenization Technique for Nanoscale Continuum Approximation

Authors: S.P. Xiao and W.X. Yang

Affilation: The University of Iowa, United States

Pages: 520 - 523

Keywords: homogenization, temperature, meshfree, crack

A new homogenization technique, the temperature-related Cauchy-Born (TCB) rule, is proposed in this paper with the consideration of the free energy instead of the potential energy. The TCB rule is verified via stress analyses of several crystalline solids. We also implement the TCB rule into the meshfree particle method to investigate crack propagation in a nanoplate.

ISBN: 1-4200-6182-8
Pages: 726
Hardcopy: $139.95