Khoroshev K. The two-dimensional problems of thermoelectro- and thermomagnetoelasticity

The methods of thermal conductivity, thermoelastic, electroelastic and magnetoelastic problems solving for multiconnected mediums are extended on two-dimensional and plane thermoelectroelastic and thermomagnetoelastic problems in thesis. The complex potentials are introduced and investigated, there are obtained the boundary conditions for their determination, using the conformal mapping and expansions in series the singularities of functions derivatives are investigated, the boundary conditions are carried by least-squares method. There are shown the developed methods effectiveness and the received results steadiness by the numerical investigations. There are given the thermoelectroelastic and thermomagnetoelastic problems solutions for the solid and half-space (plate and half-plane) with cavities and cracks. The detailed numerical investigations of the TEES and TMES (thermoelectroelastic and thermomagnetoelastic states) are carried out. The new mechanical regularities of the thermophysical material properties, geometrical characteristics of holes and cracks, their quantity and position relatively each other and boundary of half-plane influence on the basic TEES and TMES characteristics, internal energy density and SITIF (stress, induction and tension intensity factors) values are determined.