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	On minimal representations for constitutive equations of anisotropic elastic materials
	Xiao, H
	1996
关键词	elastic constitutive equations anisotropy minimal representation ISOTROPIC FUNCTIONS
英文摘要	The problem of determining minimal representations for anisotropic elastic constitutive equations is proposed and investigated. For elastic constitutive equations in any given case of anisotropy, it is shown that there exist generating sets consisting of six generators and such generating sets are minimal in all possible generating sets. This fact implies that most of the established results for representations of elastic constitutive equations are not minimal and remain to be sharpened. For elastic constitutive equations in some cases of anisotropy, including orthotropy, transverse isotropy, the trigonal crystal class S-6, and the classes C-2mh, m = 1, 2, 3,..., etc., representations in terms of minimal generating sets are presented for the first time.; Engineering, Multidisciplinary; Materials Science, Multidisciplinary; Mechanics; SCI(E); 13; ARTICLE; 1; 13-32; 45
语种	英语
出处	SCI
出版者	弹性学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/258247]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xiao, H. On minimal representations for constitutive equations of anisotropic elastic materials. 1996-01-01.

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