Journal article
Plane problems of cubic quasicrystal media with an elliptic hole or a crack
Publication Details
Authors: | Gao, Y.; Ricoeur, A.; Zhang, L. |
Publisher: | Elsevier Science B. V., Amsterdam. |
Publication year: | 2011 |
Journal: | Physics Letters A |
Pages range : | 2775-2781 |
Volume number: | 375 |
Start page: | 2775 |
End page: | 2781 |
Number of pages: | 7 |
ISSN: | 0375-9601 |
DOI-Link der Erstveröffentlichung: |
Abstract
Based on the complex potential method, plane problems of cubic quasicrystal media containing an elliptic hole subjected to uniform remote loadings are solved. The explicit solutions for the coupled fields are given in the closed form. Degenerating the elliptic hole into a crack, the asymptotic distribution of the phonon and phason stress fields near the crack tip exhibits inverse square root singularities. Explicit expressions for the stress intensity factors, crack opening displacements and strain energy release rate are also presented. (C) 2011 Elsevier B.V. All rights reserved.
Based on the complex potential method, plane problems of cubic quasicrystal media containing an elliptic hole subjected to uniform remote loadings are solved. The explicit solutions for the coupled fields are given in the closed form. Degenerating the elliptic hole into a crack, the asymptotic distribution of the phonon and phason stress fields near the crack tip exhibits inverse square root singularities. Explicit expressions for the stress intensity factors, crack opening displacements and strain energy release rate are also presented. (C) 2011 Elsevier B.V. All rights reserved.
Keywords
Complex potential method, Crack, Cubic quasicrystal, Elliptic hole, Plane problem
