The Half Space Problem of Cubic Quasicrystal Piezoelectric Materials

LI Guangfang; LIU Fangfang; YU Jing; LI Lianhe

doi:10.21656/1000-0887.430221

Volume 44 Issue 7

Jul. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(7): 825-833

LI Guangfang, LIU Fangfang, YU Jing, LI Lianhe. The Half Space Problem of Cubic Quasicrystal Piezoelectric Materials[J]. Applied Mathematics and Mechanics, 2023, 44(7): 825-833. doi: 10.21656/1000-0887.430221

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The Half Space Problem of Cubic Quasicrystal Piezoelectric Materials

doi: 10.21656/1000-0887.430221

LI Guangfang^{1, 2
,},
LIU Fangfang^{2, 3},
YU Jing²,
LI Lianhe^{2, 3
,
,}

1.
College of Science, Inner Mongolia Agricultural University, Hohhot 010018, P.R.China
2.
Center for Applied Mathematics Inner Mongolia, Hohhot 010022, P.R.China
3.
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, P.R.China

Received Date: 2022-07-04
Rev Recd Date: 2022-10-24
Publish Date: 2023-07-01

Abstract

Abstract

The half space problem of cubic quasicrystal piezoelectric materials was considered. The governing equations of elasticity for cubic quasicrystal piezoelectric materials under anti-plane deformation and in-plane electric field were given. Combined with the surface boundary conditions in the semi-infinite region, a general solution was obtained by means of the operator theory and the complex function method. Then the analytical expressions of the displacements and stresses of the phonon field and the phason field, and the electric displacements of the half space problem under concentrated linear surface forces, were derived.
- cubic quasicrystal piezoelectric material,
- complex function method,
- half space,
- linear force

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References(24)

References

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