The use of near-front ray expansions in deformation dynamics

A method is proposed for the constructing approximate solutions of problems in impact deformation dynamics in the form of a ray expansion of the solution at the strain discontinuity surface. The fundamental difference in the proposed approximate method is the fact that, when constructing the ray expansions of the solutions, account is taken of the regularities in the change in the curvatures of the surfaces of strain discontinuities and the divergence of the rays. The main qualitative features of the method are illustrated using the example of a one-dimensional cylindrical shock wave.