An Anti-Plane Problem of Cracks at Edges of Regular Hexagonal Holes in 1D Hexagonal Piezoelectric Quasicrystals

BAI Qiaomei; DING Shenghu

doi:10.21656/1000-0887.390362

Volume 40 Issue 10

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BAI Qiaomei, DING Shenghu. An Anti-Plane Problem of Cracks at Edges of Regular Hexagonal Holes in 1D Hexagonal Piezoelectric Quasicrystals[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1071-1080. doi: 10.21656/1000-0887.390362

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An Anti-Plane Problem of Cracks at Edges of Regular Hexagonal Holes in 1D Hexagonal Piezoelectric Quasicrystals

doi: 10.21656/1000-0887.390362

School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, P.R.China

Funds: The National Natural Science Foundation of China（11762016；11762017；11832014）

Received Date: 2018-12-29
Rev Recd Date: 2019-08-30
Publish Date: 2019-10-01

Abstract

Abstract

The anti-plane problem of cracks near regular hexagonal holes in 1D hexagonal piezoelectric quasicrystals was studied. By means of the Cauchy integral formula in the complex variable functions and through construction of conformal mapping functions, the analytical solutions of stress distribution and field intensity factors at the crack tip near the hole were obtained under the electrically impermeable boundary condition. The effects of the edge length and the crack length of the regular hexagon as well as the shear stress on the field intensity factors were discussed with numerical examples.
- 1D hexagonal piezoelectric quasicrystal,
- regular hexagonal hole edge crack,
- complex variable function method,
- stress intensity factor

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References

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