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Philosophical Magazine Volume 87, 2007 - Issue 18-21: Proceedings of Aperiodic, 2006
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Original Articles

Phonon–phason coupling in decagonal quasicrystals

K. Edagawaa Institute of Industrial Science, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8505, Japan;b SORST, Japan Science and Technology Agency, Japan
Pages 2789-2798 | Received 07 Sep 2006, Accepted 31 Oct 2006, Published online: 02 Dec 2010

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Jinjia Zhang, Yashushi Kamimura, Yuki Tokumoto & Keiichi Edagawa. (2022) Direct experimental evidence of phonon–phason coupling in an Al-Pd-Mn icosahedral quasicrystal. Philosophical Magazine 102:15, pages 1461-1480.
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Lianzhi Yang, Liangliang Zhang, Fan Song & Yang Gao. (2014) General Solutions for Three-Dimensional Thermoelasticity of Two-Dimensional Hexagonal Quasicrystals and an Application. Journal of Thermal Stresses 37:3, pages 363-379.
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Wu Li, Tian You Fan & Yun Long Wu. (2009) Plastic analysis of crack problems in three-dimensional icosahedral quasicrystalline material. Philosophical Magazine 89:31, pages 2823-2831.
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M. De Boissieu. (2008) Phason modes in quasicrystals. Philosophical Magazine 88:13-15, pages 2295-2309.
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Articles from other publishers (27)

Tong Li, Zhenting Yang, Chenghui Xu, Xinsheng Xu & Zhenhuan Zhou. (2023) A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks. Materials 16:10, pages 3628.
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Jinjia Zhang, Jintao Zhou, Yuki Tokumoto & Keiichi Edagawa. (2023) Phonon–Phason Coupling Strength in a Tsai-Type Ag–In–Yb Icosahedral Quasicrystal. MATERIALS TRANSACTIONS 64:5, pages 945-949.
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Jinjia Zhang, Ning Bo, Yasushi Kamimura, Yuki Tokumoto & Keiichi Edagawa. (2023) Evaluating the phonon-phason coupling strength of an Al-Ni-Co decagonal quasicrystal. Journal of Physics: Conference Series 2461:1, pages 012005.
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Wu Li & Yiqing Shi. (2020) Extension of Elastic Models to Decagonal Quasicrystals. Crystals 10:6, pages 469.
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Haobai Cao, Yiqing Shi & Wu Li. (2019) Analytic Solutions to Two-Dimensional Decagonal Quasicrystals with Defects Using Complex Potential Theory. Crystals 9:4, pages 209.
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Qin Xu, Jing Lu & Wu Li. (2017) Defects in Static Elasticity of Quasicrystals. Crystals 7:12, pages 373.
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Zhibin Wang & Andreas Ricoeur. (2018) Simulation of crack growth under mixed‐mode loading in 1D piezoelectric quasicrystals. PAMM 17:1, pages 281-282.
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Zhibin Wang & Andreas Ricoeur. (2017) Numerical crack path prediction under mixed-mode loading in 1D quasicrystals. Theoretical and Applied Fracture Mechanics 90, pages 122-132.
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Zhibin Wang, Johannes Scheel & Andreas Ricoeur. (2016) Mixed-mode crack tip loading and crack deflection in 1D quasicrystals. Applied Physics A 122:12.
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Wu Li & Tianyou Fan. (2016) Elasto-Dynamics of Quasicrystals. Crystals 6:11, pages 152.
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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 71 107 .
Yuki Izumi, Mutsuhiko Yamada, Atsushi Takano & Yushu Matsushita. (2015) A new periodic pattern with five‐neighbored domain packing from ABC triblock terpolymer/ B homopolymer blend . Journal of Polymer Science Part B: Polymer Physics 53:13, pages 907-911.
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Yusuke Asai, Atsushi Takano & Yushu Matsushita. (2015) Creation of Cylindrical Morphologies with Extremely Large Oblong Unit Lattices from ABC Block Terpolymer Blends. Macromolecules 48:5, pages 1538-1542.
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Yang Gao, Lian-Ying Yu, Lian-Zhi Yang & Liang-Liang Zhang. (2015) The refined theory of 2D quasicrystal deep beams based on elasticity of quasicrystals. Structural Engineering and Mechanics 53:3, pages 411-427.
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Wu Li & Yu-Zhen Chai. (2014) Anti-plane problem analysis for icosahedral quasicrystals under shear loadings. Chinese Physics B 23:11, pages 116201.
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Wu Li, Hao Xin & Tianyou Fan. (2014) Boundary Value Problems of Potential Functions in Decagonal Quasicrystals. Mathematical Problems in Engineering 2014, pages 1-8.
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Wu Li & Ling-Yun Xie. (2013) A Dugdale—Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals. Chinese Physics B 22:3, pages 036201.
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Wu Li & Tianyou Fan. (2011) Exact solutions of the generalized Dugdale model of two-dimensional decagonal quasicrystals. Applied Mathematics and Computation 218:7, pages 3068-3071.
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Wu Li. (2011) Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals. Chinese Physics B 20:11, pages 116201.
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Yang Gao & Andreas Ricoeur. (2011) Three-dimensional Green's functions for two-dimensional quasi-crystal bimaterials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467:2133, pages 2622-2642.
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Tian-You Fan, Ling-Yun Xie, Lei Fan & Qing-Zhao Wang. (2011) Interface of quasicrystal and crystal. Chinese Physics B 20:7, pages 076102.
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Yang Gao, Andreas Ricoeur & Liangliang Zhang. (2011) Plane problems of cubic quasicrystal media with an elliptic hole or a crack. Physics Letters A 375:28-29, pages 2775-2781.
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Xie Ling-yun & Fan Tian-you. (2011) The Dugdale model for a semi-infinite crack in a strip of two-dimensional decagonal quasicrystals. Journal of Mathematical Physics 52:5.
Crossref
Wu Li & Tian You Fan. (2011) Plastic analysis of the crack problem in two-dimensional decagonal Al-Ni-Co quasicrystalline materials of point group. Chinese Physics B 20:3, pages 036101.
Crossref
Tianyou FanTianyou Fan. 2011. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 67 102 .
Tianyou FanTianyou Fan. 2011. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 329 331 .
S. Takeuchi & K. Edagawa. 2008. Quasicrystals. Quasicrystals 267 311 .

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