CURVILINEAR CRACK CLOSURE IN A SHEET ELEMENT UNDER THE INFLUENCE OF A TEMPERATURE FIELD

Authors

V. M. Mirsalimov, Azerbaijan Technical University, (25, H. Cavid Ave., Baku, AZ 1073, Azerbaijan), e-mail: mir-vagif@mail.ru, ORCID: 0000-0002-4551-6065

A. B. Mustafayev, Institute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences (9, F. Agaev St., Baku, AZ1141, Azerbaijan), e-mail: azer_bm@list.ru

Abstract

This paper considers the change in the temperature field near the ends of a curved crack in a sheet element under the action of an inhomogeneous stress field. The solution to the boundary problem of equilibrium of a curvilinear crack with partially contacting faces under the action of an external inhomogeneous stress field  and induced thermoelastic field of stresses and forces on the crack contacting surfaces reduces to the problem of linear conjugation of analytical functions. It is accepted that on some part of the contact a cohesion of crack faces occurs, and on the rest of the contact, slippage is possible.

Keywords: curvilinear crack in a sheet element, inhomogeneous stress field, temperature field, contact stresses, contact zone, slippage zone

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Received 01 November 2016

Published 30 December 2016