PROBLEMS OF STATIONARY HEAT CONDUCTION AND THERMOELASTICITY FOR A BODY WITH HEAT RELEASE ON A CIRCULAR DOMAIN (CRACK)

摘要

An exact solution of singular integral equations given on a circular domain with polar and hypersingular kernels is presented. The right-hand sides of the equations are polynomials of the third degree and, in the axisymmetric case, of the fourth degree. These equations describe the stationary temperature field and the stress state in a body in the case where the temperature or the heat flow is given on a circular domain in the solid body or on a crack. Stress intensity factors are determined in the case of a crack.