微平面模型取向与权重的改进计算方法  

AN IMPROVED METHOD TO CALCULATE ORIENTATION AND WEIGHT IN A MICROPLANE CONSTITUTIVE MODEL

作　　者：贾明晓[1] 王君杰[2] 

机构地区：[1]华北水利水电学院土木与交通学院,郑州450011 [2]同济大学桥梁工程系,上海200092

出　　处：《工程力学》2013年第6期54-59,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(90715022);华北水利水电学院高层次人才引进项目

摘　　要：在介绍微平面模型中数值离散算法的基础上,指出了现有文献中对微平面取向及权重的确定方法的特点和不足。针对微平面取向不够均匀以及微平面形状和物理意义不明确的问题,提出了一种基于正多面体表面网格划分后向球面进行投影的方法计算微平面取向,再利用球面几何的知识计算微平面权重的方法。在比选基于不同微平面划分方案时,提出了拟合宏观弹性刚度矩阵的优化目标。计算结果表明,该文所提方法可以得到微平面形状、大小完全均匀的划分方案,计算精度比文献中的最优方案更精确。The deficiency of orientation and weight calculation methods for a microplane model is pointed out after its discretization algorithm analysis. A new microplane grid division method is proposed to solve the problem of non-uniform orientations and the vague microplane physical concept in an original method. Firstly, the unit regular polyhedron surface is divided into regular grids, and then mapping them to the unit sphere surface to generate a series of spherical triangles, of which each one represents a microplane. The method of calculating microplane weights is derived from spherical geometry theory. The optimization goal of fitting macro elastic stiffness matrix is proposed in the program evaluation. Calculation results shows that the method proposed can accurately obtain programs of uniform microplane shape and size.

关 键 词：微平面本构模型 取向 权重 数值离散 球面几何 

分 类 号：TU318[建筑科学—结构工程]