A phenomenological model for microstructure-dependent inelasticity in shape-memory alloys

作者: Diego Grandi , Ulisse Stefanelli

DOI: 10.1007/S11012-014-0018-7

关键词: AlloyCondensed matter physicsCrystalMicrostructureShape-memory alloyCrystallitePhenomenological modelCalculus of variationsMaterials scienceGrain size

摘要: Degradation in shape-memory alloy response is a crucial concern for variety of innovative applications. Under cyclic loadings, these materials generally experience permanent inelastic deformations. The onset plasticization known to be very sensitive the microstructure polycrystalline specimen. Moving from recent experimental findings (Malard et al. Funct Mater Lett 2:45–54, 2009; Acta 59:1542–1556, 2011), we present phenomenological model effects alloys taking into account microstructure. In particular, mechanical under loadings investigated connection with mean crystal grain size. Formulated within variational frame generalized standard materials, consists an extension Auricchio (Int J Plast 23:207–226, 2007) case microstructure-dependent parameters. mathematical setting discussed and numerical simulations showing capability reproduce experiments are presented.

参考文章(39)
Christian Lexcellent, Shape-Memory Alloys Handbook ,(2013)
和弘 大塚, Clarence Marvin Wayman, Shape memory materials Cambridge University Press. ,(1998)
Wael Zaki, Ziad Moumni, A 3D model of the cyclic thermomechanical behavior of shape memory alloys Journal of The Mechanics and Physics of Solids. ,vol. 55, pp. 2427- 2454 ,(2007) , 10.1016/J.JMPS.2007.03.011
Michela Eleuteri, , Luca Lussardi, Ulisse Stefanelli, , , A rate-independent model for permanent inelastic effects in shape memory materials Networks and Heterogeneous Media. ,vol. 6, pp. 145- 165 ,(2011) , 10.3934/NHM.2011.6.145
K. Tanaka, F. Nishimura, T. Hayashi, H. Tobushi, C. Lexcellent, Phenomenological analysis on subloops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads Mechanics of Materials. ,vol. 19, pp. 281- 292 ,(1995) , 10.1016/0167-6636(94)00038-I
Noemi Barrera, Paolo Biscari, Marco Fabrizio Urbano, Macroscopic modeling of functional fatigue in shape memory alloys European Journal of Mechanics A-solids. ,vol. 45, pp. 101- 109 ,(2014) , 10.1016/J.EUROMECHSOL.2013.11.015
Wael Zaki, Sorin Zamfir, Ziad Moumni, An extension of the ZM model for shape memory alloys accounting for plastic deformation Mechanics of Materials. ,vol. 42, pp. 266- 274 ,(2010) , 10.1016/J.MECHMAT.2009.11.013
Di Song, Guozheng Kang, Qianhua Kan, Chao Yu, Chuanzeng Zhang, The effect of martensite plasticity on the cyclic deformation of super-elastic NiTi shape memory alloy Smart Materials and Structures. ,vol. 23, pp. 015008- ,(2014) , 10.1088/0964-1726/23/1/015008
Alexander Mielke, Florian Theil, On rate-independent hysteresis models Nodea-nonlinear Differential Equations and Applications. ,vol. 11, pp. 151- 189 ,(2004) , 10.1007/S00030-003-1052-7
Angela C. Souza, Edgar N. Mamiya, Nestor Zouain, Three-dimensional model for solids undergoing stress-induced phase transformations European Journal of Mechanics A-solids. ,vol. 17, pp. 789- 806 ,(1998) , 10.1016/S0997-7538(98)80005-3