Analysis of lattices with non-linear interphases

作     者：S. Haq A. B. Movchan G. J. Rodin 

作者机构：Faculty of Engineering Sciences GIK Institute Topi 23640 NWFP Pakistan Department of Mathematical Sciences University of Liverpool Liverpool L69 3BX UK Institute for Computational Engineering and Sciences The University of Texas at Austin Austin TX 78712 USA 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2006年第22卷第4期

页      面：323-330页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：National Science Foundation NSF: CMS-0219839 

主　　题：Interphases in lattices Stability Green's functions Evolution algroithm 

摘      要：Anti-plane deformation of square lattices containing interphases is analyzed. It is assumed that lattices are linear elastic but not necessarily isotropic, whereas interphases exhibit non-linear elastic behavior. It is demonstrated that such problems can be treated effectively using Green＇s functions, which allow to eliminate the degrees of freedom outside of the interphase. Illustrative numerical examples focus on the determination of applied stresses leading to lattice instability.