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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.10 P.835-840


Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials

Author(s):  Yang Gao

Affiliation(s):  College of Science, China Agricultural University, Beijing 100083, China, Institute of Mechanics, University of Kassel, Kassel D-34125, Germany

Corresponding email(s):   gaoyangg@gmail.com

Key Words:  Green’, s functions, 1D quasicrystal, Infinite planes, Half-planes, Bi-materials

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Yang Gao. Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials[J]. Journal of Zhejiang University Science A, 2010, 11(10): 835-840.

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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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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