THE TEMPERATURE-FIELD AND THERMOELASTIC STATE OF A PLATE WITH A PERIODIC SYSTEM OF THIN ELASTIC INCLUSIONS

The solution of the planar problem of heat conduction and thermoelasticity in the case of a plate with a periodic system of straight thin elastic inclusions of finite length is constructed using the methods of the theory of functions of a complex variable. Integral representations are obtained for the complex temperature and stress-strain state potentials, the system of integro-differential resolvents of the problem is constructed and expressions are presented for the stress intensity factors at the vertices of the inclusions. A numerical analysis of the solution of the problem is carried out using the method of mechanical quadratures.