Analytic solutions to problem of elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals

doi:10.1007/s10483-008-0406-x

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (4): 485-493 .doi: https://doi.org/10.1007/s10483-008-0406-x

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Analytic solutions to problem of elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals

GUO Jun-hong, LIU Guan-ting

College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, P. R. China

Received:2007-01-24 Revised:2008-03-01 Online:2008-04-18 Published:2008-04-18
Contact: LIU Guan-ting

Abstract

Abstract: By means of the complex variable function method and the technique of conformal mapping, the anti-plane shear problem of an elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals is investigated. The solution of the stress intensity factor (SIF) for mode III problem has been found. Under the condition of limitation, both the known results and the SIF solution at the crack tip of a circular hole with two straight cracks and cross crack in one-dimensional hexagonal quasicrystals can be obtained.

Key words: quasicrystal, elliptic hole with two straight cracks, cross crack, SIF, complex variable function method

2010 MSC Number:

GUO Jun-hong;LIU Guan-ting. Analytic solutions to problem of elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals. Applied Mathematics and Mechanics (English Edition), 2008, 29(4): 485-493 .

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Analytic solutions to problem of elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals

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