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Dynamic intensity factors for multiple permeable cracks in piezoelectric materials
Author(s) -
Liu HaiTao
Publication year - 2020
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.201900344
Subject(s) - electric displacement field , stress intensity factor , piezoelectricity , intensity (physics) , fourier transform , displacement (psychology) , plane (geometry) , mathematical analysis , integral transform , mode (computer interface) , dynamic stress , integral equation , mathematics , materials science , structural engineering , fracture mechanics , geometry , acoustics , physics , optics , dynamic loading , computer science , engineering , psychology , psychotherapist , operating system
This article presents the dynamic intensity factors for multiple permeable Mode‐I cracks in piezoelectric materials plane by means of the generalized Almansi's theorem. The Fourier transform is used and the present problem is formulated into two pairs of dual integral equations. The dual integral equations are solved by the Schmidt method. The dynamic stress intensity factors (DSIFs) and the dynamic electric displacement intensity factor (DEDIF) at the crack tips are given. It is shown that the effects of the crack length, the distance between two parallel cracks and the circular frequency of incident wave near the crack tips on the DSIFs and DEDIF.