This article is cited in 1 paper

Mechanics

Formation fronts of a nonlinear elastic medium from a medium without shear stresses

A. G. Kulikovskii, E. I. Sveshnikova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Fronts in which a medium without tangential stresses is converted in an incompressible nonlinear anisotropic elastic medium are considered. The mass flow through unit area is considered as known and variations of velocity tangential components and stresses are investigated. The boundary conditions at the fronts which correspond to the correction conditions are obtained as the existence conditions of the front structure. The model of a visco-elastic Kelvin–Voight medium is adopted for this structure.

Key words: elastic medium, structure of shock front, shock adiabatic curve.

UDC: 539.3:534.1

Received: 19.02.2016

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:3, 59–65

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