Gorun O. Thermoelastic state of a three-part thermosensitive flat layered bodies

In the thesis analytical and numerical method of determination and research one-dimensional unsteady temperature fields and caused them quasi-static stress and displacement in three-part thermosensitive bodies with plane-parallel dividing surfaces for various thermal actions for a wide range components thickness was developed. For this purposes Kirchhoff transformation, generalized functions approach and Green function of linear non-stationary heat conductivity problem for a three-part space in a functional series and linear spline-functions was used. Integral presentation of solutions for appropriate non-stationary heat conduction problems for three-part infinite, half infinite rod and layer regarding to the temperature or Kirchhoff variable, whose at the interfaces contain at most one unknown time depended function was obtained. On the problems of thermoelasticity for infinite three-part body with constant physical and mechanical properties was researched speed of convergence of series depending on the thermal characteristics, time and intermediate layer thickness and was illustrated the way of obtaining engineering formulas for finding the temperature field and caused by him stress and displacement. An solutions of thermoelasticity problems for a three-part thermosensitive infinite, semi-infinite rod and layer with and without considering the convective-radiant heat exchange, uneven initial heating of the components and uniformly distributed over the volume or focused on one of the separation surfaces of heat source with impulse intensity changes was obtained. The particular cases was compared with known from literature which was obtained by other methods. By using numerical researches the influence of the temperature dependence of physical and mechanical characteristics, parameters of heat exchange and thickness of components for the distribution of temperature, stress and displacement was analyzed.