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Stress concentration in an anisotropic body with three equal collinear cracks in Mode II of fracture. I. Analytical study
Author(s) -
Craciun E.M.,
Sadowski T.,
Răbâea A.
Publication year - 2014
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200293
Subject(s) - anisotropy , formalism (music) , fissure , displacement (psychology) , stress (linguistics) , mathematical analysis , mechanics , mathematics , physics , materials science , classical mechanics , composite material , optics , art , musical , psychology , linguistics , philosophy , visual arts , psychotherapist
One consider an anisotropic, unbounded elastic body containing three collinear, equal cracks subjected to asymmetrically tangential stresses, case corresponding to Mode II of classical Fracture. We determine the elastic state produced in the body using the formalism of Riemann‐Hilbert problem and the representation of elastic stresses and displacements fields due to Lekhnitskii. Using the asymptotical analysis, we obtain the asymptotic values of the stress and the displacement fields in a vicinity of the cracks tips.