Elasto-Plastic Coupled Analysis of Buried Structure and Soil Medium by Perturbational Semi-Analytic Method
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摘要: 本文研究了一个用于物理非线性相互作用分析的有效的数值方法。结构和介质耦合分析的弹塑性问题可用摄动法转化为几个线性问题,然后对相应的线性问题分别用有限条和有限层法分析地下结构和岩土介质以达到简化计算的目的。这种方法用了两次半解析技术——摄动和半解析解函数——将三维非线性耦合问题化为一维的数值问题。此外,本法是半解析法结合解析的摄动法应用于非线性问题的新进展,同时也是近年来发展的摄动数值法的一个分支。Abstract: In this paper,an effective numerical method for physically nonlinear interation analysis is studied,in which the elasto-plastic problem of coupled analysis between the structure and medium may be transformed into several linear problems by means of the perturbation technique,then the finite strip method and finite layer method are used to analyse the underground structure and rock respectively,for their corresponding linear problems,so the purpose of simplifing the calculation can be achieved.This kind of method has made use of the twice semi-analytical technique.the perturbation and semi-analytic solution function to simplify 3-D nonlinear coupled problem into 1-D linear numerical one.In addition,this method is a new advance of semi-analytical method in the application to nonlinear problems by means of combinating with the analytical perturbation method,and it is also a branch of the perturbational numerical,nethod developed in last years.
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Key words:
- perturbation /
- semi-analytic method /
- elasto-plasticity /
- coupling
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[1] 魏悦广,用摄动法计算椭圆形巷道的弹塑性问题,工程力学,7(2) (1990),93-102. [2] 谢志成、王瑞五、杨学忠、钱振东,在材料非线性问题中的摄动有限元法,应用数学和力学,4(1)(1983),123-134. [3] 曹志远,解析与数值结合法的发展,《第一届全国解析与数值结合法会议论文集》,长沙(1990),1-5. [4] C1A1布雷拜,S.沃克,《边界法的工程应用》,龙述尧等译,陕西科学技术出版社(1980),118-207. -
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