Approximate Near-Front Ray Solutions
in the Axisymmetric Strain Dynamics
of a Linear Elastic Half-Space
摘要
The dynamics of axisymmetric two-dimensional strains in a linear elastic half-spacebounded by a smooth surface of revolution with positive Gaussian curvature is considered. Anapproximate solution of the initial–boundary value problem is constructed on the basis of rayseries with expansion in a time-like variable. The limited number of terms of the ray series is usedfor near-front domains of curvilinear waves of strong discontinuities. The coefficients of this seriesare the discontinuities of the derivatives of displacements with respect to time (starting from thefirst derivative). It is shown that it is necessary to take into account the ray series components upto the