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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2010, Vol. 11 Issue (10): 835-840    DOI: 10.1631/jzus.A1000119
    
Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials
Yang Gao
College of Science, China Agricultural University, Beijing 100083, China, Institute of Mechanics, University of Kassel, Kassel D-34125, Germany
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Abstract  This paper deals with the combination of point phonon and phason forces applied in the interior of infinite planes and half-planes of 1D quasicrystal bi-materials. Based on the general solution of quasicrystals, a series of displacement functions are adopted to obtain Green’s functions for infinite planes and bi-material planes composed of two half-planes in the closed form, when the two half-planes are supposed to be ideally bonded or to be in smooth contact. Since the physical quantities can be readily calculated without the need of performing any transform operations, Green’s functions are very convenient to be used in the study of point defects and inhomogeneities in the quasicrystal materials.

Key wordsGreen’s functions      1D quasicrystal      Infinite planes      Half-planes      Bi-materials     
Received: 27 March 2010      Published: 05 October 2010
CLC:  O34  
Cite this article:

Yang Gao. Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2010, 11(10): 835-840.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A1000119     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2010/V11/I10/835

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