Asymptotic approach to analysis of the stress-strain state of elastic bodies.

The article presents the analysis of the stress-strain state of elastic bodies. It states that it is based on the linear theory of elasticity as well as the method of integro-differential relations. It notes that employing the integral formulation of Robert Hooke's law and polynomial representations of the obscure functions of stresses and displacements wherein it is reduced to an integrable system of ordinary differential equations with constant coefficients.