Finite Element Method for Static Problems of Cubic Quasicrystals

L.-Z. Yanga,b, F.-M. Hec and Y. Gaoa aCollege of Science, China Agricultural University, Beijing 100083, China bCollege of Engineering, China Agricultural University, Beijing 100083, China cSichuan Hydropower Investment and Management Group Ltd, 611130, China

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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.

DOI: 10.12693/APhysPolA.126.471 PACS numbers: 61.44.Br