三维数值流形方法及其在复合材料中的应用  

Three-dimensional Manifold Method with Applications to Composites

作　　者：魏高峰[1] 冯伟[1] 

机构地区：[1]上海大学

出　　处：《应用力学学报》2005年第3期351-355,502,共5页Chinese Journal of Applied Mechanics

摘　　要：数值流形方法在进行接触判断时,传统的直接判断法在三维情况下检索困难,计算量大,对大规模工程问题是不适用的。为此,本文将公共面法引入三维数值流形方法的接触判断,使接触判断的计算量大大减少。目前,数值流形方法主要应用于岩石力学分析,为了拓宽其应用领域,作者比较了复合材料与岩石结构的异同,将其应用于复合材料的数值模拟,数值结果表明,该方法收敛快、精度高,弥补了有限元的不足。Because of huge computation and difficulty in categorization, the conventional contact detection method cannot be applied to large engineering structure in three-dimensional numerical manifold analysis. Common Plane Technique is adopted to detect and categorize contacts between three-dimensional blocks with arbitrary shapes to reduce computation. Now numerical manifold method is usually applied to rock mechanical analysis, a comparison between composites and rocks is presented to widen the applications. The results verify the higher convergence and accuracy.

关 键 词：流形方法 接触判断 复合材料 数值模拟 公共面法 

分 类 号：O343.2[理学—固体力学]