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Dynamic Stress Intensity Factors around a Rectangular Crack in a Half‐Space under Impact Load
Author(s) -
Itou S.
Publication year - 1982
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.19820620704
Subject(s) - laplace transform , stress intensity factor , mathematics , mathematical analysis , displacement (psychology) , fourier series , series (stratigraphy) , space (punctuation) , fourier transform , intensity (physics) , half space , dual (grammatical number) , structural engineering , fracture mechanics , physics , computer science , geology , engineering , optics , psychology , paleontology , art , literature , psychotherapist , operating system
The three‐dimensional impact response of a rectangular crack in a semi‐space is considered. Application of the Laplace and Fourier transforms reduces the problem to the solution of a pair of dual integral equations. To solve these equations, the crack surface displacement is expanded in a double series of functions which are zero outside of the crack. The unknown coefficients accompanied in that series are solved with the aid of the Schmidt method. Numerical results on the stress intensity factors are obtained.