Aj. Lu et Zy. Cao, ELASTOPLASTIC COUPLED ANALYSIS OF BURIED STRUCTURE AND SOIL MEDIUM BYPERTURBATIONAL SEMIANALYTIC METHOD, Applied mathematics and mechanics, 19(4), 1998, pp. 361-366
In this paper, an effective numerical method for physically nonlinear
interaction analysis is studied, in which the elasto-plastic problem o
f 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 anal
yze the underground structure and rock medium, respectively, for their
corresponding linear problems, so the purpose of simplifying the calc
ulation can be achieved. This kind of method has made use of the twice
semi-analytical technique: the perturbation and semi-analytic solutio
n function to simplify 3-D nonlinear coupled problem into 1-D linear n
umerical one. In addition, this method is a new advance of semi-analyt
ical method in the application to nonlinear problems by means of combi
nating with the analytical perturbation method, and it is also a branc
h of the perturbational numerical method developed in last years.