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	Hamilton's Principle of Entropy Production for Creep and Relaxation Processes
	Yang, Q. ; Liu, Y. R. ; Bao, J. Q.
	2010-10-12 ; 2010-10-12
关键词	creep entropy force relaxation rheology state-space methods IRREVERSIBLE-PROCESSES RECIPROCAL RELATIONS NORMALITY STRUCTURES THERMODYNAMICS LAWS Engineering, Mechanical Materials Science, Multidisciplinary
中文摘要	In this paper, two subspaces of the state space of constrained equilibrium states for solids are proposed and addressed. One subspace, constrained affinity space, is conjugate-force space with fixed temperature and internal variable. It is revealed in this paper that the remarkable properties of the kinetic rate laws of scalar internal variables, established by Rice (1971, "Inelastic Constitutive Relations for Solids: An Internal Variable Theory and Its Application to Metal Plasticity," J. Mech. Phys. Solids, 19, pp. 433-455) and elaborated by Yang (2005, "Normality Structures With Homogeneous Kinetic Rate Laws," ASME J. Appl. Mech., 72, pp. 322-329; 2007, "Normality Structures With Thermodynamic Equilibrium Points," ASME J. Appl. Mech., 74, pp. 965-971), are all located in constrained affinity space. Furthermore, the flow potential function monotonically increases along any ray from the origin in constrained affinity space. Another subspace, constrained configuration space, is the state space with fixed external variables. It is shown that the specific free and complementary energies monotonically decrease and increase, respectively, along the path of motion of the thermodynamic system of the material sample in constrained configuration space. For conservative conjugate forces, Hamilton's action principle is established in constrained configuration space, and the action is the entropy production of the thermodynamic system in a time interval. The thermodynamic processes in constrained configuration space are just creep or relaxation processes of materials. The Hamilton principle can be considered as a fundamental principle of rheology.
语种	英语 ; 英语
出版者	ASME-AMER SOC MECHANICAL ENG ; NEW YORK ; THREE PARK AVE, NEW YORK, NY 10016-5990 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/82030]
专题	清华大学
推荐引用方式 GB/T 7714	Yang, Q.,Liu, Y. R.,Bao, J. Q.. Hamilton's Principle of Entropy Production for Creep and Relaxation Processes[J],2010, 2010.
APA	Yang, Q.,Liu, Y. R.,&Bao, J. Q..(2010).Hamilton's Principle of Entropy Production for Creep and Relaxation Processes..
MLA	Yang, Q.,et al."Hamilton's Principle of Entropy Production for Creep and Relaxation Processes".(2010).

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