Research on Interfacial Collinear Cracks Between 1D Hexagonal Piezoelectric Quasicrystal Bimaterials

LU Shaonan; ZHAO Xuefen; MA Yuanyuan

doi:10.21656/1000-0887.430111

Volume 44 Issue 7

Jul. 2023

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LU Shaonan, ZHAO Xuefen, MA Yuanyuan. Research on Interfacial Collinear Cracks Between 1D Hexagonal Piezoelectric Quasicrystal Bimaterials[J]. Applied Mathematics and Mechanics, 2023, 44(7): 809-824. doi: 10.21656/1000-0887.430111

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Research on Interfacial Collinear Cracks Between 1D Hexagonal Piezoelectric Quasicrystal Bimaterials

doi: 10.21656/1000-0887.430111

1.
School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, P.R.China
2.
Xinhua College, Ningxia University, Yinchuan 750021, P.R.China

Received Date: 2022-03-31
Rev Recd Date: 2022-06-28
Publish Date: 2023-07-01

Abstract

Abstract

By means of the analytic continuation, the singularity principal part analysis and the extended Liouville theorem in the complex function theory, the anti-plane elastic problem of interfacial collinear cracks between 1D hexagonal piezoelectric quasicrystal bimaterials under concentrated loads, was addressed. The closed solutions for biomaterial interface containing 1 and 2 finite-length cracks under concentrated loads were derived. At the same time, the crack tip field intensity factors (including the phonon field, the phason field stress intensity factors and the electric displacement intensity factor) were given. The effects of the ratio of the external load to the coupling coefficient on the intensity factor variation of the crack tip field were analyzed by numerical examples. The numerical results show that, the intensity factor of the crack tip field increases with the crack length and with the ratio of coupling coefficients, while the electric displacement intensity factor keeps almost unchanged. The field intensity factor of the crack tip varies with the crack length in different styles under different loads. The research results provide a theoretical reference for the design and preparation of piezoelectric quasicrystals.
- 1D hexagonal piezoelectric quasicrystal bimaterial,
- interfacial collinear crack,
- complex function method,
- field strength factor

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References(21)

References

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