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Abstract
The main design of this paper is to adopt potential functions for solving plane defect problems originating from two-dimensional decagonal quasicrystals. First, we analyze the strict potential function theory for the plane problems of two-dimensional quasicrystals. To clarify effectiveness of the method, we give some examples and the results which can be precisely determined, including the elasticity and fracture theories of two-dimensional quasicrystals. These results maybe play a positive role in studying the fracture of two-dimensional quasicrystals in the future.
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Defects in Static Elasticity of Quasicrystals. CRYSTALS 2017. [DOI: 10.3390/cryst7120373] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Belin-Ferré * E, Demange V, Dubois JM. Aperiodic Intermetallics: The Example of Quasicrystals. CRYSTALLOGR REV 2004. [DOI: 10.1080/08893110410001700818] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Messerschmidt U, Bartsch M, Geyer B, Feuerbacher M, Urban K. Plastic deformation of icosahedral Al-Pd-Mn single quasicrystals II. Interpretation of the experimental results. ACTA ACUST UNITED AC 2000. [DOI: 10.1080/01418610008212108] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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