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	On multiscale significance of Rice's normality structure
	Yang, Q ; Chen, X ; Zhou, WY
	2010-05-11 ; 2010-05-11 ; SEP,OCT
关键词	multiscale normality structure orthogonality condition maximum dissipation DAMAGE EVOLUTION LAWS IRREVERSIBLE-PROCESSES CONSTITUTIVE RELATIONS RECIPROCAL RELATIONS ENERGY GEOMATERIALS MODEL Mechanics
中文摘要	The normality structure proposed by [Rice, J.R., 1971. Inelastic constitutive relations for solids: an integral variable theory and its application to metal plasticity. J. Mech. Phys. Solids 19, 433-455.] provides a minimal framework of multiscale thermodynamics. As shown in this paper, Rice's multiscale thermodynamic formalism is exactly consistent with Ziegler's essential notion [Ziegler, H., 1977. An Introduction to Thermomechanics, North-Holland, Amsterdam.] that the entire constitutive response is determined by the knowledge of two scalar potential functions: an energy function and a dissipation function. In Rice's multiscale thermodynamic formulation, the variational equation relating macroscale and microscale thermodynamic fluxes and forces plays a central role and ensures the equality between microscale and macroscale dissipation rate. The variational equation can be further reformulated into a principle of maximum equivalent dissipation. Based on the variation equation, the transformation from microscale to macroscale is characterized by two linear transformations with the same corresponding matrix. (C) 2006 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/27367]
专题	清华大学
推荐引用方式 GB/T 7714	Yang, Q,Chen, X,Zhou, WY. On multiscale significance of Rice's normality structure[J],2010, 2010, SEP,.
APA	Yang, Q,Chen, X,&Zhou, WY.(2010).On multiscale significance of Rice's normality structure..
MLA	Yang, Q,et al."On multiscale significance of Rice's normality structure".(2010).

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