THE EVOLUTIONARY EQUATION FOR ONE-DIMENSIONAL SHEAR WAVES OF A RUPTURE OF STRAINS

The problem about formation and the subsequent distribution of the one-di
mensional shear shock wave in nonlinear elastic incompressible isotropic half-s
pace is solved. Application of a method of the spliced asymptotic expansions in
front field of a shock wave leads to the evolutionary quasilinear wave equation
which is distinct from the equations of Hopf, characteristic for volume shock
waves. Some methods of build-up of solutions for the evolutionary equations of
the shift waves, allowing to consider the manifold time functions in the capacity
of boundary conditions for a field of transitions, are offered.