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Philosophical Magazine Volume 98, 2018 - Issue 19
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Part A: Materials Science

Exact solution of two collinear cracks normal to the boundaries of a 1D layered hexagonal piezoelectric quasicrystal

Y.-B. ZhouSchool of Civil Engineering, Central South University, Changsha, China.View further author information
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X.-F. LiSchool of Civil Engineering, Central South University, Changsha, China.;State Key Laboratory of Powder Metallurgy, Central South University, Changsha, China.Correspondence [email protected]
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Pages 1780-1798 | Received 07 Nov 2017, Accepted 20 Mar 2018, Published online: 15 Apr 2018

Citations (14)

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Read on this site (2)

V. Loboda, A. Sheveleva, O. Komarov & Y. Lapusta. (2022) An interface crack with mixed electrical conditions at it faces in 1D quasicrystal with piezoelectric effect. Mechanics of Advanced Materials and Structures 29:23, pages 3334-3344.
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Y.-B. Zhou & X.-F. Li. (2018) Elasto-hydrodynamics of quasicrystals with a crack under sudden impacts. Philosophical Magazine Letters 98:10, pages 419-436.
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Articles from other publishers (12)

Ying Li & Yanbin Zhou. (2023) Dynamic response of a piezoelectric quasicrystal rod with the generalized thermoelasticity. Acta Mechanica.
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Jiaqi Zhang, Xiangyu Li & Guozheng Kang. (2023) Mode-I penny-shaped crack problem in an infinite space of one-dimensional hexagonal piezoelectric quasicrystal: exact solutions. International Journal of Fracture.
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Yuyan Xin & Junhua Xiao. (2023) An analytic solution of an arbitrary location through-crack emanating from a nano-circular hole in one-dimensional hexagonal piezoelectric quasicrystals. Mathematics and Mechanics of Solids.
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Volodymyr Loboda, Alla Sheveleva, Oleksandr Komarov, Werner Wagner & Yuri Lapusta. (2022) Interaction of two collinear interface cracks with different electrical conditions at their faces in a one-dimensional piezoelectric quasicrystal. Acta Mechanica 233:7, pages 2719-2735.
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Ya-Ru Suo, Yan-Bin Zhou & Guan-Ting Liu. (2021) Effect of T-stress on the fracture in an infinite two-dimensional decagonal quasicrystals of a cruciform crack with unequal arms. International Journal of Solids and Structures 232, pages 111181.
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Keqiang Hu, Cunfa Gao, Zheng Zhong & Zengtao Chen. (2021) Interaction of collinear interface cracks between dissimilar one‐dimensional hexagonal piezoelectric quasicrystals. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:11.
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Yan-Bin Zhou, Guan-ting Liu & Lian-he Li. (2021) Effect of T-stress on the fracture in an infinite one-dimensional hexagonal piezoelectric quasicrystal with a Griffith crack. European Journal of Mechanics - A/Solids 86, pages 104184.
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K. Q. Hu, S. A. Meguid, Z. Zhong & C. -F. Gao. (2020) Partially debonded circular inclusion in one-dimensional quasicrystal material with piezoelectric effect. International Journal of Mechanics and Materials in Design 16:4, pages 749-766.
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Xin Lv & Guan-Ting Liu. (2020) Exact Solutions for Interaction of Parallel Screw Dislocations with a Wedge Crack in One-Dimensional Hexagonal Quasicrystal with Piezoelectric Effects. Mathematical Problems in Engineering 2020, pages 1-15.
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CuiYing Fan, Shuai Chen, QiaoYun Zhang, Ming Hao Zhao & Bing Bing Wang. (2020) Fundamental solutions and analysis of an interfacial crack in a one-dimensional hexagonal quasicrystal bi-material. Mathematics and Mechanics of Solids 25:5, pages 1124-1139.
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Yan-Bin Zhou & Xian-Fang Li. (2019) Fracture analysis of an infinite 1D hexagonal piezoelectric quasicrystal plate with a penny-shaped dielectric crack. European Journal of Mechanics - A/Solids 76, pages 224-234.
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Keqiang Hu, Hui Jin, Zhenjun Yang & Xi Chen. (2019) Interface crack between dissimilar one-dimensional hexagonal quasicrystals with piezoelectric effect. Acta Mechanica 230:7, pages 2455-2474.
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