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Philosophical Magazine Volume 93, 2013 - Issue 13
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Part A: Materials Science

Elastohydrodynamic problems in quasicrystal elasticity theory and wave propagation

X.F. Li School of Civil Engineering, Central South University, Changsha, 410075, China; State Key Laboratory of Powder Metallurgy, Central South University, Changsha, 410083, ChinaCorrespondence[email protected]
Pages 1500-1519 | Received 30 Aug 2012, Accepted 29 Oct 2012, Published online: 26 Nov 2012

Citations (20)

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Read on this site (3)

Chao Liu, Xin Feng, Yang Li, Liangliang Zhang & Yang Gao. (2022) Static solution of two-dimensional decagonal piezoelectric quasicrystal laminates with mixed boundary conditions. Mechanics of Advanced Materials and Structures 0:0, pages 1-17.
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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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Y.-B. Zhou & X.-F. Li. (2018) Exact solution of two collinear cracks normal to the boundaries of a 1D layered hexagonal piezoelectric quasicrystal. Philosophical Magazine 98:19, pages 1780-1798.
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Articles from other publishers (17)

Ying Li & Yanbin Zhou. (2023) Dynamic response of a piezoelectric quasicrystal rod with the generalized thermoelasticity. Acta Mechanica.
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Juan Yang, Yan Xu, Shenghu Ding & Xing Li. (2023) Dynamic fracture of a partially permeable crack in a functionally graded one-dimensional hexagonal piezoelectric quasicrystal under a time-harmonic elastic SH-wave. Mathematics and Mechanics of Solids 28:9, pages 1939-1958.
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Xin Feng, Liangliang Zhang, Yang Li & Yang Gao. (2023) On the propagation of plane waves in cubic quasicrystal plates with surface effects. Physics Letters A 473, pages 128807.
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Ying Li & Yan‐Bin Zhou. (2023) Dynamic response of a one‐dimensional hexagonal quasicrystal rod in the framework of fractional‐order thermoelasticity. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.
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F. Long & X.-F. Li. (2022) Thermal stresses of a cubic quasicrystal circular disc. Mechanics Research Communications 124, pages 103913.
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Bo Zhang, Jiangong Yu, Hongmei Zhou, Xiaoming Zhang & Lahoucine Elmaimouni. (2021) Guided waves in a functionally graded 1-D hexagonal quasi-crystal plate with piezoelectric effect. Journal of Intelligent Material Systems and Structures 33:13, pages 1678-1696.
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Xin Feng, Liangliang Zhang, Zhiming Hu, Han Zhang & Yang Gao. (2022) Guided Wave Propagation in Multilayered Two-dimensional Quasicrystal Plates with Imperfect Interfaces. Acta Mechanica Solida Sinica 35:4, pages 694-704.
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F. Long & X.-F. Li. (2022) Elastic field of a rotating cubic quasicrystal disk. Archive of Applied Mechanics 92:7, pages 2191-2205.
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Fei Long & Xian-Fang Li. (2022) Flamant problem of a cubic quasicrystal half-plane. Zeitschrift für angewandte Mathematik und Physik 73:3.
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B. Zhang, J. G. Yu, X. M. Zhang & X. H. Wang. (2020) Guided Waves in the Multilayered One-Dimensional Hexagonal Quasi-crystal Plates. Acta Mechanica Solida Sinica 34:1, pages 91-103.
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Radoslaw Strzalka, Ireneusz Buganski, Pawel Kuczera, Lucjan Pytlik & Janusz Wolny. (2019) Atomic Structure of Decagonal Al-Cu-Rh Quasicrystal–Revisited: New Correction for Phonons. Crystals 9:2, pages 78.
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Y.-B. Zhou & X.-F. Li. (2019) A Yoffe-type moving crack in one-dimensional hexagonal piezoelectric quasicrystals. Applied Mathematical Modelling 65, pages 148-163.
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G. E. Tupholme. (2018) Nonuniformly Loaded Stack of Antiplane Shear Cracks in One-Dimensional Piezoelectric Quasicrystals. Advances in Materials Science and Engineering 2018, pages 1-11.
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Hui Cheng, Tianyou Fan & Hao Wei. (2016) Solutions for hydrodynamics of 5- and 10-fold symmetry quasicrystals. Applied Mathematics and Mechanics 37:10, pages 1393-1404.
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Tian-You FanTian-You Fan. 2016. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 233 269 .
X.F. Li, L.Y. Xie & T.Y. Fan. (2013) Elasticity and dislocations in quasicrystals with 18-fold symmetry. Physics Letters A 377:39, pages 2810-2814.
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Xin Feng, Liangliang Zhang, Yang Li & Yang Gao. (2022) On the Propagation of Plane Waves in Three-Dimensional Cubic Quasicrystal Nanoplates with Surface Effects. SSRN Electronic Journal.
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