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Anti-plane Problem of a Nano-coated Inclusion in One Dimensional Hexagonal Quasicrystals
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Xue-fen ZHAO1, 2, Shao-nan LU3, De-feng KONG1, *
Science Technology and Engineering | 2025, 25(11) : 4419 - 4427
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Science Technology and Engineering | 2025, 25(11): 4419-4427
• Papers·Crystal Science •
Anti-plane Problem of a Nano-coated Inclusion in One Dimensional Hexagonal Quasicrystals
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Xue-fen ZHAO1, 2, Shao-nan LU3, De-feng KONG1, *
Affiliations
  • 1 Xinhua College, Ningxia University, Yinchuan 750021, China
  • 2 School of Information Engineering, Ningxia University, Yinchuan 750021, China
  • 3 School of Mathematical Statistics, Ningxia University, Yinchuan 750021, China
Published: 2025-04-18 doi: 10.12404/j.issn.1671-1815.2403936
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To design and prepare high-quality one-dimensional hexagonal quasicrystal nano-composites, the interface and interface phase models were applied to study the infinite one-dimensional hexagonal quasicrystal anti-plane fracture problem with cylindrical inclusions containing nano coatings by using the complex function method and Gurtin-Murdoch's surface/interface elasticity theory. Under two different models, the series form expressions of phonon and phason field stress fields in matrix, coating and inclusion were obtained, respectively. Numerical examples were used to analyze the effects of interface elastic constants and size effects on the stress field around inclusions. The results showed that the positive or negative values of interface elastic constants would affect the stress field around nano-inclusions. As the size of nano-inclusions increased, the stress field exhibited significant size dependence, and surface effects had significant differences in their effects on the stress fields of dimensionless phonon and phason fields. The relevant results provide a certain theoretical reference for studying the mechanical behavior of quasicrystalline nano-inclusions.

one dimensional hexagonal quasicrystals  /  nano coated cylindrical inclusion  /  size effect  /  interface model  /  interphase model
Xue-fen ZHAO, Shao-nan LU, De-feng KONG. Anti-plane Problem of a Nano-coated Inclusion in One Dimensional Hexagonal Quasicrystals[J]. Science Technology and Engineering, 2025 , 25 (11) : 4419 -4427 . DOI: 10.12404/j.issn.1671-1815.2403936
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Year 2025 volume 25 Issue 11
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Article Info
doi: 10.12404/j.issn.1671-1815.2403936
  • Receive Date：2024-05-27
  • Online Date：2025-07-09
  • Published：2025-04-18
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History
  • Received：2024-05-27
  • Revised：2024-09-25
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Affiliations
    1 Xinhua College, Ningxia University, Yinchuan 750021, China
    2 School of Information Engineering, Ningxia University, Yinchuan 750021, China
    3 School of Mathematical Statistics, Ningxia University, Yinchuan 750021, China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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