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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 2, Pages 35–40 (Mi vmumm477)

Mechanics

A crack on the interface between a linear elastic medium and a stress-state dependent physically nonlinear medium

N. V. Gaganova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A crack on the interface between a linear elastic medium and a stress-state dependent physically nonlinear medium is studied. A numerical method is proposed for the solution of such problems. Asymptotic distributions of stresses, deformations and displacements are obtained near the crack tip under the assumption that stresses and displacements are continuous on the interface.

Key words: crack, interface, hardening material, stress-state dependent material, asymptotic solution, numerical method.

UDC: 519.95

Received: 22.12.2010


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2012, 67:2, 29–34

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