阶谱块体单元法及其在连续介质力学问题中的应用  

Hierarchical block element method and its application to continuum mechanical problems

作　　者：李永明[1] 汪卫明[1] 陈胜宏[1] 

机构地区：[1]武汉大学水利水电学院,湖北武汉430072

出　　处：《岩土力学》2002年第3期362-367,共6页Rock and Soil Mechanics

基　　金：国家自然科学基金项目(编号:59979021)

摘　　要：介绍了阶谱块体单元法的基本概念和原理,比较了该方法与有限元法、数值流形方法的异同,并对其在连续介质力学问题中的应用进行了探讨。计算研究表明,经过简单的处理后,阶谱块体单元法可以应用于连续介质力学问题并得到与有限元法十分接近的结果。通过对形函数阶次、块体单元形状、块体单元网格密度、虚拟结构面的参数取值等问题的研究,得出了一些规律性的认识,据此提出了提高计算精度的措施和虚拟结构面参数建议取值范围。The basic concepts and principles of hierarchical block element method(HBEM)were briefly introduced and its application to continuum mechanical problem was researched.It is shown that the new methodology can be applied to continuum mechanical problems,and the obtained results are quite similar to those from FEM.From the research on the order of shape functions,the geometric shape,density of block elements,as well as the material parameters on the virtual discontinuities,some important conclusions were drawn.Also the measures to improve numerical accuracy and the reasonable range of material parameters of the virtual discontinuity were recommended.

关 键 词：块体单元法 阶谱 连续介质力学 

分 类 号：TU457[建筑科学—岩土工程]