Marchuk A. Applied theor and solution methods for problems of mechanics of composite constructions with layered structure.

The dissertation is devoted to the development of new applied theor for calculation of composite constructions with layered structure on the base of a model which allows to account conditions of contact with another elastic bodies at both external surfaces. It is a model with two base surfaces, two-dimensional in terms of mathematical content but spatial in terms of geometric and physical nature. The proposed theor generalizes continual and discrete directions of modelling of the stress-strained state of the layered systems and creates premises for calculation of the composite construction with layered structure by thickness. Validation of the model reliability was executed by means of correlation with known and received in the dissertation spatial solutions of the theor of elasticity which substantially complete the former.