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Abstracts
We put forward a finite element method for static problems of cubic quasicrystals by variation of a suitable general potential functional. As an example we study a quasicrystal column containing a penny-shaped crack. The comparison with analytical results shows that the precision and efficiency of the numerical solution are satisfactory. The procedure can be used to solve more complicated boundary value problems and can be extended towards more sophisticated methods of crack tip loading analysis.
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Year
Volume
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Pages
471-473
Physical description
Dates
published
2014-08
Contributors
author
- College of Science, China Agricultural University, Beijing 100083, China
- College of Engineering, China Agricultural University, Beijing 100083, China
author
- Sichuan Hydropower Investment and Management Group Ltd, 611130, China
author
- College of Science, China Agricultural University, Beijing 100083, China
References
- [1] T.Y. Fan, Mathematical Theory of Elasticity of Quasicrystals and Its Applications, Springer-Verlag, Berlin 2011
- [2] Y. Gao, A. Ricoeur, L L. Zhang, Phys. Lett. A 375, 2775 (2011), doi: 10.1016/j.physleta.2011.06.003
- [3] W.M. Zhou, T.Y. Fan, Chin. Phys. 9, 294 (2000), doi: 10.1088/1009-1963/9/4/009
- [4] W.G. Yang, R.H. Wang, D.H. Ding, C.Z. Hu, Phys. Rev. B 48, 6999 (1993), doi: 10.1103/PhysRevB.48.6999
- [5] R.D. Henshell, K G. Shaw, Int. J. Numer. Meth. Eng. 9, 495 (1975), doi: 10.1002/nme.1620090302
- [6] S.H. Ju, Int. J. Numer. Meth. Eng. 43, 1437 (1998), doi: 10.1002/(SICI)1097-0207(19981230)43:8<1437::AID-NME477>3.0.CO;2-9
- [7] T.Y. Fan, Engineering 5, 407 (2013), doi: 10.4236/eng.2013.54053
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n211kz