Selfsimilar problems of star-shaped crack development under the action of a cleaving gas flow (Q1175066)

The problem of the development of a system of radial slits from zero at a constant rate under plane strain conditions is considered. Selfsimilar solutions of problems on the development of normal separation crack stars were obtained by the Smirnov-Sobolev method of functionally invariant solutions [\textit{E. F. Afanas'ev} and \textit{G. P. Cherepanov}, ibid. 37, 618-639 (1973; Zbl 0298.73033)]. The solution of the problem of the cleavage of a star-shaped crack by an isothermal inviscid gas flow being liberated instantaneously at the initial time is presented.