Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2014 | 126 | 2 | 471-473

Article title

Finite Element Method for Static Problems of Cubic Quasicrystals

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
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.

Keywords

EN

Year

Volume

126

Issue

2

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
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.