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	Application of Lie Group Analysis to the Plastic Torsion of Rod with the Saint Venant-Mises Yield Criterion
	Li, Houguo
	2012
关键词	Lie group analysis group invariant solutions plastic torsion Saint Venant-Mises yield criterion
DOI	10.4028/www.scientific.net/AMR.461.265
英文摘要	Based on Lie group and Lie algebra theory, the basic principles of Lie group analysis of differential equations in mechanics are analyzed, and its validity in theory of plasticity is explained by example. For the plastic torsion of rod with variable cross section that consists in non-linear Saint Venant-Mises yield criterion, the 10-dimensional Lie algebra admitted by the equilibrium equation and yield criterion is completely solved, and invariants and group invariant solutions relative to different sub-algebras are given. At last, physical explanations of each group invariant solution are discussed by some types of transformations.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000310488300058&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Construction & Building Technology; Engineering, Civil; Engineering, Mechanical; Materials Science, Multidisciplinary; EI; CPCI-S(ISTP); 0
语种	英语
内容类型	会议论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/316422]
专题	工学院
推荐引用方式 GB/T 7714	Li, Houguo. Application of Lie Group Analysis to the Plastic Torsion of Rod with the Saint Venant-Mises Yield Criterion[C]. 见:.

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