摘要
本文就几种特殊情形用作者所研究的一种用于横观各向同性体动力学的有限层法作了简化分析,分别讨论了二维问题、轴对称问题以及静力问题,并推广到介质具有粘性性质的情形.对于轴对称情形,本文还给出两个算例,表明作者所研究的有限层法用于分析半无限域层状土壤介质是可行的,因而为研究土壤与结构相互作用问题提供了一条新途径.
In the present paper reductions of the finite layer method once studied in detail by the authors for the elastodynamics of transverse isotropic bodies are given to several special cases. Two-dimensional problems, axisymmetric problems and static problems are discussed, respectively, and this finite layer method is also generalized to the problems in which materials possess viscous properties. Two numerical examples have been presented for the axisymmetric case. From these two examples it can be concluded that the finite layer method can be used to analyse semi-infinite layered soils and to deal with the problem of the interaction between soils and structures.
出处
《应用数学和力学》
CSCD
北大核心
1992年第11期945-950,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
关键词
土壤半空间
有限层法
土动力学
semi-infinite soils, finite layer method, numerical analysis
