期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 59, 期 8, 页码 1536-1551出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2011.04.020
关键词
Quasi-continuum method; Homogenization; Density functional theory; Mathematical analysis; Cell-size effects
资金
- Air Force Office of Scientific Research [FA9550-09-1-0240]
- National Science Foundation [CMMI 0927478]
- Army Research Office [W911NF-09-0292]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0927478] Funding Source: National Science Foundation
Using the orbital-free density functional theory as a model theory, we present an analysis of the field theoretic approach to quasi-continuum method. In particular, by perturbation method and multiple scale analysis, we provide a formal justification for the validity of numerical coarse-graining of various fields in the quasi-continuum reduction of field theories by taking the homogenization limit. Further, we derive the homogenized equations that govern the behavior of electronic fields in regions of smooth deformations. Using Fourier analysis, we determine the far-field solutions for these fields in the presence of local defects, and subsequently estimate cell-size effects in computed defect energies. (C) 2011 Elsevier Ltd. All rights reserved.
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