About a solving method of thermoelastic boundary value problem for growing multi layer sphere

Formation of thermoelastic pressure in a growing multilayered hollow sphere in quasistatic approach of kinetics processes of growth and temperature change is considered. The nonclassical regional problem for a growing multilayered sphere in speeds a component of a thermoelastic field is formulated, its equivalence for a multilayered sphere with the stationary borders, reduced to the integrated equation of type of Volterra of II sort is established. For a two layer spherical cover with one stationary surface criteria of similarity of growing bodies are established, and the effect of inversion district components of pressure near to border of section of growing and basic layers in the course of growth is investigated.