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Periodic set of the interface cracks with contact zones
Author(s) -
Kozinov S.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810217
Subject(s) - isotropy , holomorphic function , mathematical analysis , elasticity (physics) , mathematics , plane (geometry) , boundary value problem , stress intensity factor , geometry , stress functions , contact mechanics , physics , materials science , structural engineering , engineering , finite element method , composite material , optics , fracture mechanics
A closed form solution to the plane problem of the theory of elasticity for an infinite isotropic bimaterial space (plane) with a periodic set of the interface cracks with frictionless contact zones near its tips is obtained. By means of the complex function presentation the problem is reduced to the combined Dirichlet–Riemann boundary value problem for a sectionally–holomorphic function and solved exactly. The equations for the determination of the contact zone length as well as the closed form expressions for the stress intensity factors are carried out. The variation of the mentioned values with respect to the distance between the cracks is illustrated. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)