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The Solution of Plane Problems of Wave Loaded Cracks by an Integral Equation Method
Author(s) -
Zhang Ch.,
Gross D.
Publication year - 1988
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.19880680705
Subject(s) - discontinuity (linguistics) , integral equation , displacement (psychology) , plane (geometry) , stress intensity factor , mathematical analysis , galerkin method , mathematics , harmonic , representation (politics) , geometry , structural engineering , physics , fracture mechanics , finite element method , acoustics , engineering , psychology , psychotherapist , politics , political science , law
The plane problem of straight cracks in an infinite elastic region loaded by time harmonic waves is considered. Using the representation theorem for the displacements the problem is formulated in terms of integral equations for the unknown displacement discontinuity along the cracks. They can be solved by a suitable Galerkin method. Numerical results for the dynamic stress intensity factors of various P‐ or SV‐wave loaded crack configurations are presented and discussed.