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	On constitutive equations of Cauchy elastic solids: All kinds of crystals and quasicrystals
	Xiao, H
	1997
关键词	Cauchy elasticity constitutive equation symmetry restriction crystals quasicrystals nonpolynomial representation ISOTROPIC TENSOR FUNCTIONS REPRESENTATION H(A)=ALPHA-I+BETA-A+GAMMA-A(2) SCALAR COEFFICIENTS INVARIANTS
英文摘要	Our concern is with the problem of determining general reduced forms of constitutive equations of Cauchy elastic solids under all kinds of material symmetries, including well-known crystal classes and newly discovered quasicrystal classes. By means of Tschebysheff polynomials we present in unified forms simple irreducible representations for elastic constitutive equations under the infinitely many subgroup classes C2m+1, C2m+2, D2m+1 and D2m+2 for all m = 1, 2,.... Moreover, we provide a simple representation for elastic constitutive equations under the most complicated point group, i.e. the icosahedral group. Each presented representation is expressed in terms of not more than nine polynomial tensor generators only.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000072000700003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Engineering, Multidisciplinary; Materials Science, Multidisciplinary; Mechanics; SCI(E); 10; ARTICLE; 3; 241-283; 48
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/20.500.11897/258186]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xiao, H. On constitutive equations of Cauchy elastic solids: All kinds of crystals and quasicrystals. 1997-01-01.

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