The Anti-Plane Problem of Collinear Interface Cracks Emanating From a Circular Hole in 1D Hexagonal Quasicrystal Bi-Materials

ZHANG Bingcai; DING Shenghu; ZHANG Laiping

doi:10.21656/1000-0887.420202

Volume 43 Issue 6

Jun. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(6): 639-647

ZHANG Bingcai, DING Shenghu, ZHANG Laiping. The Anti-Plane Problem of Collinear Interface Cracks Emanating From a Circular Hole in 1D Hexagonal Quasicrystal Bi-Materials[J]. Applied Mathematics and Mechanics, 2022, 43(6): 639-647. doi: 10.21656/1000-0887.420202

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The Anti-Plane Problem of Collinear Interface Cracks Emanating From a Circular Hole in 1D Hexagonal Quasicrystal Bi-Materials

doi: 10.21656/1000-0887.420202

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

Received Date: 2021-07-14
Rev Recd Date: 2021-10-10

Available Online: 2022-05-21

Publish Date: 2022-06-30

Abstract

Abstract

The anti-plane problem of asymmetric collinear interface cracks emanating from a circular hole in 1D hexagonal quasicrystal bi-materials was studied. With the Stroh formula and the complex function method, the complex potential functions under the coupling action of the phonon field and the phason field were obtained. The analytical expressions of the stress intensity factor (SIF) and the energy release rate (ERR) at the crack tip were given. The effects of the circular hole radius and the crack length on the SIF, and the effects of the coupling coefficient, the phonon field stress and the phason field stress on the ERR, were discussed. The results show that, the SIF tends to be stable with the increase of the right crack length for a constant circular hole radius. For a certain phason field stress value, the ERR reaches the minimum value, which indicates that a specific phason field stress can inhibit the crack growth.
- quasicrystal bi-material,
- circular hole,
- interface crack,
- complex function method

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References

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