On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material

International journal of plasticity

Volumn 16, Issue 10, 2000, Pages 1309-1343

  Qidwai, M A ^a   Lagoudas, D C ^a  

^a Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE STRENGTH; MARTENSITIC TRANSFORMATIONS; MATHEMATICAL MODELS; NICKEL ALLOYS; POLYCRYSTALLINE MATERIALS; PRESSURE; STRAIN; STRESS ANALYSIS; TENSILE STRENGTH; THERMAL EFFECTS; THERMOMECHANICAL TREATMENT;

KUHN-TUCKER OPTIMALITY CONDITIONS; LAGRANGIAN FORMULATION; POLYCRYSTALLINE NICKEL TITANIUM SHAPE MEMORY ALLOY; STRESS TEMPERATURE SPACE; TRANSFORMATION FUNCTION;

SHAPE MEMORY EFFECT;

EID: 0033682646     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(00)00012-7     Document Type: Article

References (48)

1. Adler P.H., Yu W., Pelton A.R., Zadno R., Duerig R., Barresi T.W. On the tensile and torsional properties of pseudoleastic ni-ti. Scripta Metallurgica et Materiaia. 24:1990;943-947.
2. Auricchio F., Taylor R.L., Lubliner J. Shape-memory alloys. macromodelling and numerical simulations of the superelastic behavior Computer Methods in Applied Mechanics and Engineering. 146:1997;281-312.
3. Beveridge G.S., Schechter R.S. Optimization: Theory and Practice. 1970;McGraw-Hill, New York.
4. Birman V. Review of mechanics of shape memory alloy structures. Applied Mechanics Reviews. 50(11):1997;629-645.
5. Bo Z., Lagoudas D.C. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, part i. theoretical derivations International Journal of Engineering Science. 37:1999;1089-1140.
6. Bo Z., Lagoudas D.C. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, part iii. evolution of plastic strains and two-way memory effect International Journal of Engineering Sciences. 37:1999;1141-1173.
7. Bo Z., Lagoudas D.C. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, part iv. modeling of minor hysteresis loops International Journal of Engineering Science. 37:1999;1174-1204.
8. Bo Z., Lagoudas D.C., Miller D. Material characterization of SMA actuators under nonproportional thermomechanical loading. Journal of Engineering Materials and Technology. 121:1999;75-85.
9. Boyd J.G., Lagoudas D.C. Thermomechanical response of shape memory composities. Journal of Intelligent Materials and Structures. 5:1994;333-346.
10. Boyd J.G., Lagoudas D.C. A thermodynamic constitutive model for the shape memory alloy materials. Part i. the monolithic shape memory alloy. International Journal of Plasticity. 12:1996;805-842.
11. Brinson L.C., Lammering R. Finite-element analysis of the behavior of shape memory alloys and their applications. International Journal of Solids and Structures. 30:1993;3261-3280.
12. Casey J. Approximate kinematical relations in plasticity. International Journal of Solids and Structures. 21:1985;671-682.
13. Casey J., Jahedmotlagh H. The strength-differential effect in plasticity. International Journal of Solids and Structures. 20(4):1984;377-393.
14. Casey J., Naghdi P.M. A prescription for the identification of finite plastic strains. International Journal of Engineering Science. 30(10):1992;1257-1278.
15. Coleman, B.D., Noll, W., 1963. The thermodynamics of elastic materials with heat conduction. Archives of Rational Mechanical Analysis 13.
16. Davidson, F.M., Liang, C., Lobitz, D., 1996 Investigation of torsional shape memory alloy actuators. In: Mathematics and Controls in Smart Structures, Vol. 2717, pp. 672-682. SPIE.
17. Gall K., Sehitoglu H. The role of texture in tension-compression asymmetry in polycrystalline NiTi. International Journal of Plasticity. 15:1999;69-92.
18. Gall K., Shehitoglu H., Chumlyakov Y.I., Kireeva I.V., Maier H.J. The influence of aging on critical transformation stress levels and martensite start temperatures in NiTi. part i - aged microstructure and micro-mechanical modeling ASME Journal of Engineering Materials and Technology. 121:1999;19-27.
19. Gillet Y., Patoor E., Berveiller M. Calculation of pseudoelastic elements using a non symmetrical thermomechanical criterion and associated rule. Journal of Intelligent Materials and Technology. 9:1999;366-378.
20. Govindjee, S., Hall, G.J., 1999. Computational aspects of solid-solid phase transformation modeling with a gibbs function. In: Mathematics and Controls in Smart Structures, pp. 302-313. SPIE.
21. Hill R. A variational principle of maximum plastic work in classical plasticity. Quaterly Journal of Mechanics and Applied Mathematics. 1:1948;18-28.
22. Jacobus, K., Sehitoglu, H., Balzer, M., 1996. Effect of stress state on the stress-induced martensitic transformation in polycrystalline Ni-Ti alloy. Metallurgical and Materials Transactions 27A.
23. Jardine, A.P., Kudva, J.N., Martin, C., Appa, K., 1997. Shape memory alloy TiNi actuators for twist control of smart wing designs. In Mathematics and Controls in Smart Structures, Vol. 2717, pp. 160-165. SPIE.
24. Lagoudas D.C., Bo Z. Thermomechanical modeling of polycrystalline SMAs under cyclic loading, part ii. material characterization and experimental results for a stable transformation cycle International Journal of Engineering Sciences. 37:1999;1249-1305.
25. Lagoudas D.C., Bo Z., Qidwai M.A. A unified thermodynamic constitutive model for sma and finite element analysis of active metal matrix composite. Mechanics of Composite Materials and Structurs. 3:1996;153-179.
26. Liang, C., Davidson, F., Schetky, L.M. Straub, F.K., 1996. Applications of torsional shape memory alloy actuators for active rotor blade control-opportunities and limitations. In: Mathematics and Controls in Smart Structures, pp. 91-100. SPIE.
27. Liang C., Rogers C.A. The multi-dimensional constitutive relations of shape memory alloys. Journal of Engineering Mathematics. 26:1992;429-443.
28. Lim J.T., McDowell D.L. Mechanical behavior of a Ni-Ti shape memory alloy under axial-torsional proportional and nonproportional loading. Journal of Engineering Materials and Technology. 121:1999;9-18.
29. McMillan C. Mathematical Programming: An Introduction to the Design and Application of Optimal Decision Machines. 1970;John Wiley & Sons, New York.
30. Melton, K.N., 1990. Ni-Ti based shape memory alloys. In: Duerig, T.W., Melton, K.N. Stökel, D., Wayman, C.M. (Eds.), Engineering Aspects of Shape Memory Alloys. pp. 21-35.
31. Melzer, A., Stökel, D., 1994. Performance improvement of surgical instrumentation through the use of Ni-Ti materials. In: Pelton, A.R., Hodgson, D., Duerig, T. (Eds.), Proceedings of the First International Conference on Shape Memory and Superelastic Technologies. pp. 401-409.
32. Mises, V., 1928. Mechnik der plastischen formanderung von kristallen. Z. Angen. Math. Mech. 8.
33. Patoor E., Barbe P., Eberhardt A., Berveiller M. Thermomechanical behavior of shape memory alloys. Arch. Mech. 40:1988;775-794.
34. Qidwai M.A., Lagoudas D.C. Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms. Journal of Numerical Methods in Engineering. 47:1999;1123-1168.
35. Rajagopal K.R., Srinivasa A.R. Mechanics of the inelastic behavior of materials. part i: theoretical underpinnings. International Journal of Plasticity. 14(10-11):1998;945-967.
36. Rajagopal K.R., Srinivasa A.R. Mechanics of the inelastic behavior of materials. part ii: inelastic response. International Journal of Plasticity. 14(10-11):1998;969-995.
37. Raniecki B., Lexcellent C. Thermodynamics of isotropic pseudoelasticity in shape memory alloys. European Journal of Mechanics and Solids. 17(2):1998;185-205.
38. Reisner G., Werner E.A., Fischer F.D. Micromechanical modeing of martensitic transformation in random microstructures. International Journal of Solids and Structures. 19:1998;2457-2473.
39. Sachdeva, R.C. & Miyazaki, S., 1990. Superelastic Ni-Ti alloys in orthodontics. In: Duerig, T.W. Melton, K.N., Stökel, D., Wayman, C.M. (Eds.), Engineering Aspects of Shape Memory Alloys. pp. 452-469.
40. Simo J.C., Hughes T.J.R. Computational Inelasticity. 1998;Springer-Verlag, New York.
41. Simo J.C., Ortiz M. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. Computer Methods in Applied Mechanics and Engineering. 49:1985;221-245.
42. Sittne P., Takakura M., Tokuda M. The stabilization of transormation pathway in stress induced martensite. Scripta Metallurgica et Materilia. 32(12):1995;2073-2079.
43. Sun Q.P., Hwang K.C. Micromechanics modeling for the constitutive behavior of polycrystalline shape memory alloys-i. Derivation of general relations Journal of Mechanics and Physics of Solids. 41:1993;1-17.
44. Tanaka K. A thermomechanical sketch of shape memory effect. one dimensional tensile behavior Res Mechanica. 18:1986;251-263.
45. Tanaka K., Nishimura F., Hayashi T., Tobushi H., Lexcellent C. Phenomenological analysis on subloops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads. Mechanics of Materials. 19:1995;281-292.
46. Tokuda, M., Ye, M., Takakura, M., Šittner, P., 1998. Calculation of mechanical behaviors of shape memory alloy under multiaxial loading conditions. International Journal of Mechanical Sciences 40(2-3), 227-235.
47. Ziegler, H., 1963. Some extremum principles in irreversible thermodynamics. In: Progress in Solid Mechanics, North Holland, Amsterdam, New York.
48. Ziegler H. An Introduction to Thermodynamics. 1983;North Holland, New York.