三维数值流形方法及其在复合材料中的应用

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。

Three-dimensional Manifold Method with Applications to Composites

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.