The relation between the generalised Eshelby integral and the generalised BCS and DB modelsvspace1mm

doi:10.1088/1674-1056/20/3/036102

Abstract The generalised BCS dislocation group model and the generalised DB atomic cohesive force zone model have obtained the same results on nonlinear fracture study of some one-, two- and three-dimensional quasicrystals. This work reveals some inherent connection between the two models, and finds that their common basis is the generalised Eshelby integral based on the generalised Eshelby energy--momentum tensor for quasicrystals. Further applications of the theory in solving nonlinear fracture problems of the materials are also discussed.

Keywords: quasicrystals crack plasticity generalised Eshelby integral

Received: 29 October 2010
Revised: 25 November 2010
Accepted manuscript online:

PACS:	61.44.Mr
	62.20.Fe
	62.20.Mk

Fund: Project supported by the National Natural Science Foundation of China(Grant Nos. 10372016 and 10672022).

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Fan Tian-You (范天佑) and Fan Lei(范蕾) The relation between the generalised Eshelby integral and the generalised BCS and DB modelsvspace1mm 2011 Chin. Phys. B 20 036102

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The relation between the generalised Eshelby integral and the generalised BCS and DB modelsvspace1mm

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