Polynomial stress functions of anisotropic plane problems and their   applications in hybrid finite elements

doi:10.1007/s00707-011-0566-z

CORC > 北京大学 > 工学院

	Polynomial stress functions of anisotropic plane problems and their applications in hybrid finite elements
	Zhao, Ying-Tao ; Wang, Min-Zhong ; Chen, Yi ; Su, Yu
刊名	acta mechanica
	2012
DOI	10.1007/s00707-011-0566-z
英文摘要	In this paper, systematic approaches to determine the polynomial stress functions for anisotropic plane problems are presented based on the Lekhnitskii's theory of anisotropic elasticity. It is demonstrated that, for plane problems, there are at most four independent polynomials for arbitrary n-th order homogeneous polynomial stress functions: three independent polynomials for n equal to two and four for n greater than or equal to three. General expressions for such polynomial stress functions are derived in explicit forms. Unlike the isotropic case, the polynomials for anisotropic problems are functions of material constants, because the elastic constants cannot be eliminated in the governing equation for general anisotropic cases. The polynomials can be used as analytical trial functions to develop the new 8-node hybrid element (ATF-Q8) for anisotropic problems. This ATF-Q8 element demonstrated excellent performance in comparison with traditional numerical methods through several testing examples.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000302239100004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mechanics; SCI(E); EI; 2; ARTICLE; 3; 493-503; 223
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/234174]
专题	工学院
推荐引用方式 GB/T 7714	Zhao, Ying-Tao,Wang, Min-Zhong,Chen, Yi,et al. Polynomial stress functions of anisotropic plane problems and their applications in hybrid finite elements[J]. acta mechanica,2012.
APA	Zhao, Ying-Tao,Wang, Min-Zhong,Chen, Yi,&Su, Yu.(2012).Polynomial stress functions of anisotropic plane problems and their applications in hybrid finite elements.acta mechanica.
MLA	Zhao, Ying-Tao,et al."Polynomial stress functions of anisotropic plane problems and their applications in hybrid finite elements".acta mechanica (2012).