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Original Articles

Plastic fracture of quasicrystals

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Pages 523-535 | Received 16 Nov 2007, Published online: 18 Mar 2008

Keep up to date with the latest research on this topic with citation updates for this article.

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Shengbo Zhu, Yongqi Li, Jiabin Sun, Zhenzhen Tong, Zhenhuan Zhou & Xinsheng Xu. (2023) Post-buckling analysis of axially loaded two-dimensional quasicrystal cylindrical shells with initial geometric imperfection. Mechanics of Advanced Materials and Structures 0:0, pages 1-13.
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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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Articles from other publishers (25)

Jing Zhang & Guanting Liu. (2023) A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals. Applied Mathematics and Mechanics.
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Valery Yakhno. (2020) A new analytical approach for solving equations of elasto-hydrodynamics in quasicrystals. Journal of Mechanics of Materials and Structures 15:1, pages 135-157.
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HuaYang Dang, MingHao Zhao, JingLi Ren & CuiYing Fan. (2019) Analysis of elastic−plastic fracture in two-dimensional decagonal quasicrystals using the displacement discontinuity method. Engineering Analysis with Boundary Elements 108, pages 366-371.
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Zhenhuan Zhou, Zhenting Yang, Wang Xu, Xiong Yu, Chenghui Xu & Xinsheng Xu. (2019) Evaluation of electroelastic singularity of finite-size V-notched one-dimensional hexagonal quasicrystalline bimaterials with piezoelectric effect. Theoretical and Applied Fracture Mechanics 100, pages 139-153.
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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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Hua Huang, Yuan Tian, Guangyin Yuan, Chunlin Chen, Zhongchang Wang, Wenjiang Ding & Akihisa Inoue. (2016) Dislocations in icosahedral quasicrystalline phase embedded in hot-deformed Mg alloys. Journal of Alloys and Compounds 658, pages 483-487.
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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 .
Tian-You FanTian-You Fan. 2016. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 407 410 .
Tian-You FanTian-You Fan. 2016. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 379 391 .
Tian-You FanTian-You Fan. 2016. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 349 378 .
Tian-You FanTian-You Fan. 2016. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 271 312 .
Peidong Li, Xiangyu Li & Guozheng Kang. (2015) Crack tip plasticity of a half-infinite Dugdale crack embedded in an infinite space of one-dimensional hexagonal quasicrystal. Mechanics Research Communications 70, pages 72-78.
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Xiangyu Li, Peidong Li & Guozheng Kang. (2015) Crack tip plasticity of a thermally loaded penny-shaped crack in an infinite space of 1D QC. Acta Mechanica Solida Sinica 28:5, pages 471-483.
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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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X.-Y. Li. (2013) Fundamental solutions of penny-shaped and half-infinite plane cracks embedded in an infinite space of one-dimensional hexagonal quasi-crystal under thermal loading. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469:2154, pages 20130023.
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Tian You Fan. (2013) Mathematical Theory and Methods of Mechanics of Quasicrystalline Materials. Engineering 05:04, pages 407-448.
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Tian-You Fan, Zhi-Yi Tang & Wei-Qiu Chen. (2012) Theory of linear, nonlinear and dynamic fracture for quasicrystals. Engineering Fracture Mechanics 82, pages 185-194.
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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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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.
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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 .
Tianyou FanTianyou Fan. 2011. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 317 328 .
Tianyou FanTianyou Fan. 2011. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 289 316 .
Tianyou FanTianyou Fan. 2011. Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Mathematical Theory of Elasticity of Quasicrystals and Its Applications 229 255 .
Tian You Fan, Zhi Yi Tang, Lian He Li & Wu Li. (2010) The strict theory of complex variable function method for sextuple harmonic equation and applications. Journal of Mathematical Physics 51:5.
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