内变量和伪弹性的热力学模型
Internal Variables and Thermodynamic Modeling of Pseudoelasticity
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摘要: 在固体相变中经常出现滞后,需要内变量以描述滞后现象。对记忆合金单晶拉伸实验,所需内变量是奥氏体和马氏体区域的界面数。本文首先讨论有关的实验结果,然后给出以此内变量为基础的热力学模型。Abstract: Solid-solid phase transitions often exhibt hysteresis and to describe the hysteretic behavior we need infernal variables. For shape memory single crystal under uni-axial tensile loading the internal variable has been identified experimentally as the number of interfaces between the austenitic and the martensitic phase regions. Experimental evidences are discussed here. Thermodynamical modelling based ont he internal variable is presented.
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Key words:
- modelling /
- thermodynamics /
- pseudoelasticity /
- phase transition /
- hysteresis /
- memory alloy
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[1] H.Funakubo,Shape Memory Alloys,Gordon and Breach Sci.Publ.,London (1987). [2] J.W.Christian,The Theory of Transformation in Metal and Alloys,Pergamon Press Oxford (1965). [3] Z.Nishiyama,Martensitic Transformations,Acad.Press.NY (1978). [4] I.Müller and H.Xu,On the pseudo-elastic hysteresis,Acta Metal,39 (1991),263-271. [5] S.Fu,Y.-Z.Huo and I.Müller,Thermodynamics of pseudoelasticity an analytical approach,Acta Mech,99 (1993),1-19. [6] S.Fu,I.Müller and H.Xu,Experimental and theoretical investigation of the pseudoelastic hysteresis,Proc.MRS Fall Meerirrg,Boston (1991). [7] H.Xu,Experimentale and Theoritische Untersuchung der Hysteresis in Form-Gedachtnis Legierung,Dissertation,TU Berlin (1992). [8] M.Bornert and I.Müller,Temperature dependence of hysteresis in pseudo-elasticity,Proc.Cone on Free Boundary Problems,Oberwolfach (1989). [9] Y.Z.Huo and I.Müller,Thermodynamics of pseudoelasticity-agraphic approach,Models of Hysteresis,edited by A.Visintin,Pitman Research Notes in Mathematics,Vol.286,Longman,Harlow (1993). [10] M.Achenbach,Simulation des Spanungs-Dehnungs-Temperatur Veerhaltens von Legierungen mit Form-Gedachtnis Vermogen Dissertation,TU Berlin(1980). [11] Y.Z.Huo and I.Müller,Nonequilibrium therriaodynamics of pseudoelastieity,Continum Mechanics and Thermodynamics,5 (1993),163-204. [12] Fu Senlin,Huo Yongzhong and Ingo Müller,Instability in stress-induced martensitic transformation,in Proceedings.of the Second International Conference on Nonlinear Mechanics,August 23-26,1993,edited by Chien Weizang et al.,Beijing (1993).
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