PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

doi:10.1088/1009-1963/9/10/009

Abstract

Abstract Perturbation method for solving elastic three-dimensional (3D) problems for 3D icosahedral quasicrystals is proposed. Considering an infinite 3D icosahedral quasicrystal weakened by a circular crack, we obtain the uniformly valid asymptotic solutions up to O(R²) for the mode I loading, where R is the elastic constant of phonon-phason coupling.

Keywords: icosahedral quasicrystal circular crack perturbation method

Received: 23 March 2000
Revised: 08 June 2000
Accepted manuscript online:

PACS:	61.44.Br	(Quasicrystals)
	62.20.D-	(Elasticity)
	62.20.M-	(Structural failure of materials)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. K19972011).

Cite this article:

Peng Yan-ze (彭彦泽), Fan Tian-you (范天佑) PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK 2000 Chinese Physics 9 764

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PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

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