Dynamic Behavior of Interface Cracks in 1D Hexagonal Piezoelectric Quasicrystal Coating–Substrate Structures Subjected to Plane Waves
Publication: Journal of Engineering Mechanics
Volume 150, Issue 12
Abstract
The study of elastic wave scattering is crucial for nondestructive testing, quality assurance, and failure prevention of quasicrystal (QC) structures. In the present paper, the dynamic behavior of an interface crack in one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) coating and semiinfinite homogeneous elastic substrate subjected to incident elastic-time harmonic waves is studied. The scattering problem of plane waves is reduced to a set of the Cauchy singular integral equations (SIEs) of the second kind by introducing the dislocation density functions. The SIEs are solved employing excellent properties of the Jacobi Polynomials, and the dynamic stress intensity factors (DSIFs) at the crack tips are obtained. The effects of the different PQC coating, incidence waves, crack size, incidence angle, and coupling coefficients on the DSIFs are displayed graphically. The consequences indicate that the presence of the phason field intensifies the fluctuation of the DSIFs at the crack tips, and the higher the coupling coefficients of the phonon-phason field, the easier the crack propagates. Additionally, the crack propagation can be suppressed by selecting the appropriate PQC coating and incidence angle. This work will benefit the understanding of the dynamic failure of PQC and its application.
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Data Availability Statement
No data, models, or code were generated or used during the study.
Acknowledgments
This work was supported by National Natural Science Foundation of China (12262033, 12062021, 12062022, and 12272269), Ningxia Hui Autonomous Region Science and Technology Innovation Leading Talent Training Project (KJT2020001), the Natural Science Foundation of Ningxia (2023AAC02003 and 2022AAC03012), and the Key Project of Scientific Research Fund of Xinhua College of Ningxia University (No. 23XHKY01).
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Published In
Journal of Engineering Mechanics
Volume 150 • Issue 12 • December 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jan 18, 2024
Accepted: Jun 3, 2024
Published online: Sep 25, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 25, 2025
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