Method on holomorphic vector functions and applications in   two-dimensional quasicrystals

doi:10.1142/S021797920803882X

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	Method on holomorphic vector functions and applications in two-dimensional quasicrystals
	Gao, Yang ; Xu, Bai-Xiang
刊名	international journal of modern physics b
	2008
关键词	boundary value problems two-dimensional quasicrystals holomorphic vector functions the generalized Stroh formalism RIGID LINE INHOMOGENEITY PLASTIC-DEFORMATION ELASTICITY THEORY DISLOCATIONS SYMMETRY CRACKS POINT
DOI	10.1142/S021797920803882X
英文摘要	Generalization of the Stroh formalism to two-dimensional quasicrystal materials results in a ten-dimensional formalism for which there are five pairs of complex eigenvalues. By virtue of the generalized Stroh formalism, two-dimensional problems of quasicrystals elasticity are transferred into the boundary value problems of holomorphic vector functions in a given region. If the conformal mapping from an ellipse to a circle is known, a general method can be presented for solving the boundary value problems of holomorphic vector functions. Using the necessary and sufficient condition of boundary value problems of holomorphic vector functions, several basic two-dimensional problems in two-dimensional quasicrystals are solved.; Physics, Applied; Physics, Condensed Matter; Physics, Mathematical; SCI(E); 0; ARTICLE; 6; 635-643; 22
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/397460]
专题	工学院
推荐引用方式 GB/T 7714	Gao, Yang,Xu, Bai-Xiang. Method on holomorphic vector functions and applications in two-dimensional quasicrystals[J]. international journal of modern physics b,2008.
APA	Gao, Yang,&Xu, Bai-Xiang.(2008).Method on holomorphic vector functions and applications in two-dimensional quasicrystals.international journal of modern physics b.
MLA	Gao, Yang,et al."Method on holomorphic vector functions and applications in two-dimensional quasicrystals".international journal of modern physics b (2008).