地下结构和岩土介质弹塑性耦合分析的摄动半解析法*

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。

Elasto_Plastic Coupled Analysis of Buried Structure and Soil Medium by Perturbational Semi_Analytic Method

In this paper, an effective numerical method for the physically nonlinear interaction analysis is studied, in which the elasto_plastic problem of the 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 medium, 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 method developed in last years.