The stressed state of piecewise-homogeneous bodies subject to nonsteady thermal fields

Abstract

The study of the distribution of thermal fields and the thermal stresses they generate, and the influence of these factors on the strength of piecewise-homogeneous bodies was begun and developed in the work of Ya. S. Pidstrigach, Yu. M. Kolyano, and their students [5, 12, 13]. In the present paper we use the theory of generalized functions to reduce the two-dimensional quasistatic problem of thermal stresses for piecewise-homogeneous bodies to solving systems of integral equations. The kernels of these equations are chosen as the corresponding Green's functions. We obtain a single system of integral equations for the entire region under consideration. To solve the system we apply the method of boundary elements [2]. On the basis of the results obtained we carry out a study of the thermostressed state of a half-plane with rectangular inclusions. ©1998 Plenum Publishing Corporation.