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

Abstract

The first order approximations for boundary layer in the vinicity of the surface Rayleigh wave front in shells of revolution under shock surface loads were obtained. The proposed approach for asymptotic constructing of boundary layer equations allowed to obtain ellyptic equations describing boundary layer variation by thichness and hyperbolic equations defining boundary conditions on the shell surface. However, the analysis shows that first order approximations are insufficient for derivig all stress-strain state components. Therefore, the refined asymptotic equations were constructed, which allows to obtain all stress-strain components with the accuracy of realtive thichness of the shell. Refs 10. Figs 2.