A phenomenological description of the thermomechanical coupling and the rate-dependent behavior of shape memory alloys

Journal of Intelligent Material Systems and Structures

Volumn 20, Issue 14, 2009, Pages 1675-1687

  Monteiro Jr , Paulo Cesar C ^a   Savi, Marcelo A ^a   Netto, Theodoro Antoun ^a   Pacheco, Pedro Manuel C L ^b  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b CENTRO FEDERAL DE EDUCAÇÃO TECNOLÓGICA CELSO SUCKOW DA FONSECA   (Brazil)

Author keywords

Constitutive model; Rate dependency.; Shape memory alloys; Thermomechanical coupling

Indexed keywords

CRITICAL STRESS; DIFFUSIVE PROCESS; ENERGY EQUATION; ENVIRONMENTAL MEDIA; EXPERIMENTAL DATA; HEAT TRANSFER PROCESS; LOADING RATE; NUMERICAL SIMULATION; NUMERICAL TESTS; PHASE TRANSFORMATION; PHENOMENOLOGICAL DESCRIPTION; RATE DEPENDENCE; RATE DEPENDENCY.; SHAPE MEMORY ALLOY; SHAPE MEMORY ALLOYS; TEMPERATURE DEPENDENT; THERMO-MECHANICAL; THERMO-MECHANICAL BEHAVIORS; THERMOMECHANICAL COUPLING; TIME DEPENDENT;

CERIUM ALLOYS; COMPUTER SIMULATION; CONSTITUTIVE MODELS; CONTINUUM MECHANICS; ELASTICITY; MARTENSITE; MARTENSITIC TRANSFORMATIONS; SHAPE MEMORY EFFECT; THERMOMECHANICAL TREATMENT;

ALLOYS;

EID: 70349591475     PISSN: 1045389X     EISSN: 15308138     Source Type: Journal    
DOI: 10.1177/1045389X09341199     Document Type: Article

References (38)

1. Auricchio, F., Fugazza, D. and DesRoches, R. 2006. ĝ€ĝ €Numerical and Experimental Evaluation of the Damping Properties of Shape-memory Alloys, Journal of Engineering Materials and Technology - ASME, 128: 312-319.
2. Auricchio, F., Reali, A. and Stefanelli, U. 2007. ĝ€ĝ €A Three-dimensional Model Describing Stress-induced Solid Phase Transformation with Permanent Inelasticity, International Journal of Plasticity, 23: 207-226. (Pubitemid 44636100)
3. Auricchio, F., Taylor, R.L. and Lubliner, J. 1997. ĝ€ĝ €Shape-memory Alloys: Macromodeling and Numerical Simulations of the Superelastic Behavior, Computer Methods in Applied Mechanics and Engineering, 146 (3-4). 281-312. (Pubitemid 127417910)
4. Bata-Neves, A.P., Savi, M.A. and Pacheco, P.M.C.L. 2004. ĝ€ĝ€On the Fremondĝ€s Constitutive Model for Shape Memory Alloys, Mechanics Research Communications, 31 (6). 677-688.
5. Bernardini, D. and Pence, T.J. 2002. ĝ€ĝ€Models for One-variant Shape Memory Materials Based on Dissipation Functions, International Journal of Non-linear Mechanics, 37 (8). 1299-1317.
6. Bernardini, D. and Pence, T.J. 2005. ĝ€ĝ€Uniaxial Modeling of Multivariant Shape-memory Materials with Internal Sublooping Using Dissipation Functions,Meccanica, 40 (4-6). 339-364.
7. Bo, Z.H. and Lagoudas, D.C. 1999. ĝ€ĝ€ Thermomechanical Modeling of Polycrystalline SMAs Under Cyclic Loading. Part III: Evolution of Plastic Strains and Two-way Shape Memory Effect, International Journal of Engineering Science, 37 (9). 1175-1203.
8. Boyd, J.G. and Lagoudas, D.C. 1996. ĝ€ĝ€ Thermodynamic Constitutive Model for the Shape Memory Materials - Part I: The Monolithic Shape Memory Alloys, International Journal of Plasticity, 12 (6). 805-842.
9. Brinson, L.C. 1993. ĝ€ĝ€One Dimensional Constitutive Behavior of Shape Memory Alloys: Themomechanical Derivation with Non-constant Material Functions and Redefined Martensite Internal Variable, Journal of Intelligent Material Systems and Structures, 4: 229-242.
10. Chang, B.C., Shaw, J.A. and Iadicola, M.A. 2006. ĝ€ĝ €Thermodynamics of Shape Memory Alloy Wire: Modeling, Experiments, and Application, Continuum Mechanics and Thermodynamics, 18 (1-2). 83-118.
11. Dayananda, G.N. and Subba Rao, M. 2008. ĝ€ĝ€effect of Strain Rate on Properties of Superelastic NiTi Thin Wires, Materials Science and Engineering A, 486: 96-103.
12. Davis, B., Turner, T.L. and Seelecke, S. 2008. ĝ€ĝ€ Measurement and Prediction of the Thermomechanical Response of Shape Memory Alloy Hybrid Composite Beams, Journal of Intelligent Material Systems and Structures, 19 (2). 129-143.
13. Fremond, M. 1987. ĝ€MatÉriaux MÉmoire de Forme, Comptes Rendus des sÉances lAcademie des Sciences, Paris, Tome 34, 7: 239-244.
14. Fremond, M. 1996. Shape Memory Alloy: A Thermomechanical Macroscopic Theory, CISM Courses and Lectures, Springer Verlag, New York.
15. Gall, K., Sehitoglu, H., Chumlyakov, Y.I. and Kireeva, I.V. 1999. ĝ€ĝ€Tension-compression Asymmetry of the Stress-strain Response in Aged Single Crystal and Polycrystalline NiTi, Acta Materialia, 47 (4). 1203-1217.
16. Gall, K. and Sehitoglu, H. 1999. ĝ€ĝ€The Role of Texture in Tension-compression Asymmetry in Polycrystalline NiTi, International Journal of Plasticity, 15: 69-92.
17. Grabe, C. and Bruhns, O.T. 2008. ĝ€ĝ€On the Viscous and Strain Rate Dependent Behavior of Polycrystalline NiTi, International Journal of Solids and Structures, 45: 1876-1895.
18. Heintze, O. and Seelecke, S. 2008. ĝ€ĝ€A Coupled Thermomechanical Model for Shape Memory Alloys - From Single Crystal to Polycrystal, Materials Science and Engineering A - Structural Materials Properties Microstructure and Processing, 481: 389-394.
19. Iadicola, M.A. and Shaw, J.A. 2004. ĝ€ĝ€Rate and Thermal Sensitivities of Unstable Transformation Behavior in a Shape Memory Alloy, International Journal of Plasticity, 20: 577-605.
20. Iadicola, M.A. and Shaw, J.A. 2007. ĝ€ĝ€An Experimental Method to Measure Initiation Events During Unstable Stress-induced Martensitic Transformation in a Shape Memory Alloy Wire, Smart Materials and Structures, 16: S155 - S169.
21. Incropera, F.P. and Dewitt, D.P. 2001. Fundamentals of Heat and Mass Transfer, 5 th edn, John Wiley & Sons, Canada.
22. Kadkhodaei, M., Rajapakse, R.K.N.D., Mahzoon, M. and Salimi, M. 2007. ĝ€ĝ€Modeling of the Cyclic Thermomechanical Response of SMA Wires at Different Strain Rates, Smart Materials and Structures, 16: 2091-2101.
23. Lemaitre, J. and Chaboche, J.-L. 1990. Mechanics of Solid Materials, Cambridge University Press, London.
24. Liang, C. and Rogers, C.A. 1990. ĝ€ĝ€1D Thermomechanical Constitutive Relations for Shape Memory Materials, Journal of Intelligent Material Systems and Structures, 1: 207-234.
25. Paiva, A., Savi, M.A., Braga, A.M.B. and Pacheco, P.M.C.L. 2005. ĝ€ĝ€A Constitutive Model for Shape Memory Alloys Considering Tensile-compressive Asymmetry and Plasticity, International Journal of Solids and Structures, 42 (11-12). 3439-3457.
26. Paiva, A. and Savi, M.A. 2006. ĝ€ĝ€An Overview of Constitutive Models for Shape Memory Alloys, Mathematical Problems in Engineering, 2006: 1-30.
27. Prahlad, H. and Chopra, I. 2001. ĝ€ĝ€Comparative Evaluation of Shape Memory Alloy Constitutive Models with Experimental Data, Journal of Intelligent Material Systems and Structures, 12 (6). 383-395.
28. Prahlad, H. and Chopra, I. 2003. ĝ€ĝ€Development of a Strain-rate Dependent Model for Uniaxial Loading of SMA Wires, Journal of Intelligent Material Systems and Structures, 14 (7). 429-442.
29. Rockafellar, R.T. 1970. Convex Analysis, Princeton Press, Princeton, New Jersey.
30. Savi, M.A., Paiva, A., Bata-Neves, A.P. and Pacheco, P.M.C.L. 2002. ĝ€ĝ€Phenomenological Modeling and Numerical Simulation of Shape Memory Alloys: A Thermo-plastic-phase Transformation Coupled Model, Journal of Intelligent Material Systems and Structures, 13 (5). 261-273.
31. Savi, M.A. and Paiva, A. 2005. ĝ€ĝ€Describing Internal Subloops due to Incomplete Phase Transformations in Shape Memory Alloys, Archive of Applied Mechanics, 74 (9). 637-647.
32. Shaw, J.A. and Kyriakides, S. 1995. ĝ€ĝ€ Thermomechanical Aspects of Ni-Ti, Journal of the Mechanics and Physics of Solids, 43 (8). 1243-1281.
33. Tanaka, K. and Nagaki, S. 1982. ĝ€ĝ€ Thermomechanical Description of Materials with Internal Variables in the Process of Phase Transformation, Ingenieur Archiv, 51: 287-299.
34. Thiebaud, F., Lexcellent, C., Collet, M. and Foltete, E. 2007. ĝ€ĝ€Implementation of a Model Taking into Account the Asymmetry Between Tension and Compression, the Temperature Effects in a Finite Element Code for Shape Memory Alloys Structures Calculations, Computational Materials Science, 41: 208-221.
35. Tobushi, H., Shimeno, Y., Hachisuka, T. and Tanaka, K. 1998. ĝ€ĝ€Influence of Strain Rate on Superelastic Properties of TiNi Shape Memory Alloy, Mechanics of Materials, 30 (2). 141-150.
36. Yoon, S.H. 2008. ĝ€ĝ€experimental Investigation of Thermo-mechanical Behaviors in Ni-Ti Shape Memory Alloy, Journal of Intelligent Material Systems and Structures, 19 (3). 283-289.
37. Zhu, S. and Zhang, Y. 2007. ĝ€ĝ€A Thermomechanical Constitutive Model for Superelastic SMA Wire with Strain-rate Dependence, Smart Material and Structures, 16: 1696-1707.
38. Zilkowski, A. 2007. ĝ€ĝ€Three-dimensional Phenomenological Thermodynamic Model of Pseudoelasticity of Shape Memory Alloys at Finite Strains, Continuum Mechanics and Thermodynamics, 19: 379-398.