| 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 piecewisehomogeneous 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.
Translated fromMatematichni Metodi i Fiziko-mekhnichni Polya, Vol. 40, No. 1, 1997, pp. 53–58. |
