Method Of Boundary Integral Equations (BIEM) And Generalized Solutions Of Transient Problems Of Thermoelastodynamics

The purpose of the research is to construct the method of the boundary integral equations (BIEM) for solving a transient value problem of coupled thermoelastodynamics. The following problems have been solved: (i) Dispersion properties of mountain rocks (marble, granite, limestone, sandstone etc) were investigated regarding their thermoelastic properties in the range 0 divided by 1000 H; (ii) the influence of the temperature on the character of distribution of thermoelastic waves was investigated; (iii) The thermoelastic statement of media in two- and three-dimensional cases was considered under by action of the non-stationary concentrated mass forces and thermal sources; (iv) Two types of Tensors of fundamental stresses were constructed, their properties were investigated, and their asymptotics were constructed. The BIEM for the thermostresses condition of media was developed at the given non-stationary loadings and thermal flow on its border in bounds in two- and three-dimensional cases.