PARTIAL CLOSURE OF RECTILINEAR CRACKS WITH BONDS IN A STRINGER PLATE WITH A HOLE

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J. of Mech. Eng., 2017, vol. 20, no. 2, pp. 46-53

DOI:   https://doi.org/10.15407/pmach2017.02.046

Journal Journal of Mechanical Engineering 
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 20, no. 2, 2017 (June)
Pages 46–53

 

Authors

M. V. Mir-Salim-zade, Institute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences (9, F. Agaev St., Baku, AZ1141, Azerbaijan), e-mail: minavar.mirsalimzade@imm.az

 

Abstract

An infinite elastic isotropic plate with a circular hole is studied, from the contour of which two symmetric straight-line cracks originate. A case of partial closure of cracks in the end zones is considered. In order to determine the parameters characterizing the closure of cracks, a singular integral equation is obtained, which is reduced to a finite non-linear algebraic system using an algebraization procedure. When solving the algebraic system by the method of successive approximations, we found the cohesive forces in the bonds, contact stresses, and size of the contact zones of cracks.

 

Keywords: stringer plate, circular hole, cohesive forces, contact faces, contact stresses

 

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Received 11 May 2017