Refined equations of elliptic boundary layer in shells of revolution under normal shock surface loading

Abstract

This paper continues the studies on the construction of the first order approximation of equations for a boundary layer in the vicinity of a surface Rayleigh wave front in shells of revolution under normal shock surface loading. Since the first order asymptotic approximation is insufficient for determination of all components of the stress-deformed state, we obtain refined asymptotic equations for construction of solutions for all components of displacements and stresses with an asymptotic error of the order of the relative shell thickness.