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- Title
Interaction of anti‐plane shear waves with two collinear cracks in 1D hexagonal piezoelectric quasicrystals.
- Authors
Panja, Sourav Kumar; Mandal, Subhas Chandra
- Abstract
The present article presents the interaction of anti‐plane shear waves by two collinear cracks in one dimensional (1D) hexagonal piezoelectric quasicrystals (PQCs). With the aid of Fourier transform, the mixed boundary value problem (MBVP) is transformed into three pairs of dual integral equations, which are solved analytically by Hilbert transform. The explicit expressions for dynamic stress intensity factors (DSIFs) of phonon and phason fields, crack opening displacement (COD) and electric displacement (ED) are derived in closed form and some special cases are studied. Numerical values of DSIFs of phonon and phason fields, COD and ED are plotted to show the effect of crack length and electric boundary condition. Moreover, the DSIFs of phonon field and COD are represented graphically for single crack.
- Subjects
SHEAR waves; QUASICRYSTALS; BOUNDARY value problems; HILBERT transform; ELECTRIC displacement
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2024, Vol 104, Issue 2, p1
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/zamm.202300393