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Dynamic stress intensity factors of an interfacial crack in orthotropic elastic strips under impact loading conditions
Author(s) -
Singh Anuwedita,
Mishra P. K.,
Das S.
Publication year - 2019
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.201800143
Subject(s) - orthotropic material , laplace transform , stress intensity factor , strips , materials science , fourier transform , mathematical analysis , integral equation , structural engineering , mathematics , composite material , fracture mechanics , finite element method , engineering
The present article deals with the investigation of elasto‐dynamic response of a finite crack under normal and shear impact loading situated at the interface of two semi‐infinite orthotropic strips. Laplace and Fourier Integral transforms are employed to reduce the transient problem to the solution of a pair of dual integral equations in the Laplace transform plane which are solved using iterations in the low frequency domain. The analytical expressions of stress intensity factors of the crack at the interface problem are found. To determine time dependence of the parameters, these equations are inverted to yield the dynamic stress intensity factors for some fiber‐reinforced orthotropic composite materials using Bellman method and the method given by H. Dubner and J. Abate. The results are depicted through graphs for different particular cases.