期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 69, 期 10, 页码 2099-2125出版社
JOHN WILEY & SONS LTD
DOI: 10.1002/nme.1841
关键词
multiscale; temperature; homogenization; material instability; meshfree particle methods
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. Therefore, temperature effects at the nanoscale can be investigated using continuum approximation with the implementation of the TCB rule. The TCB rule is verified via stress analyses of several crystalline solids. Temperature-related material instability is also studied. In addition, a new hierarchical multiscale method is developed through implementing the TCB rule into meshfree particle methods. Quasicontinuum meshfree particle simulations are conducted to investigate bending of nanobeams, crack propagation in nanoplates and a three-dimensional nanoindentation problem. Copyright (c) 2006 John Wiley & Sons, Ltd.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据