Mechanical Behavior of an Ni-Ti Shape Memory Alloy Under Axial-Torsional Proportional and Nonproportional Loading

Journal of Engineering Materials and Technology - Tập 121 Số 1 - Trang 9-18 - 1999
T. Jesse Lim1, David L. McDowell1
1GWW School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

Tóm tắt

Several biaxial proportional and nonproportional loading experiments are reported for thin-wall tubes of a pseudoelastic Ni-Ti shape memory alloy (SMA). In addition to the mechanical behavior, temperature was measured during the experiments. It is shown that the phase transformation exhibits asymmetrical behavior in the case of tension-compression cycling. The transformation strain rate is determined for selected histories by numerical differentiation of data. Under nonproportional loading, the rate of phase transformation does not follow a generalized J2-J3 criteria based on results of micromechanical simulations for proportional loading. The role of simultaneous forward and reverse transformations on the nonproportional transformation response is examined using a simple micromechanical model, and the direction of the inelastic strain rate is adequately predicted. Load- and strain-controlled experiments at different strain rates, with and without hold times, are reported and coupled thermomechanical effects are studied.

Từ khóa


Tài liệu tham khảo

Gall, K., Sehitoglu, H., and Maier, H., 1997, “Asymmetric Stress-Strain Response in Shape Memory Alloys,” Proceedings of Plasticity ’97: The Sixth International Symposium on Plasticity and Its Current Applications, Juneau, Alaska, pp. 153–154.

Gall, K., and Sehitoglu, H., 1998, “The Origins and Modeling of Stress State Effects for Stress-Induced Martensitic Transformations in Polycrystalline NiTi,” submitted to the Journal of Mechanics and Physics of Solids, in review.

Graesser E. J. , and CozzarelliF. A., 1994, “A Proposed Three-Dimensional Constitutive Model for Shape Memory Alloys,” Journal of Intelligent Material Systems and Structures, Vol. 5, pp. 78–89.

Huo Y. , and Mu¨llerI., 1993, “Nonequilibrium Thermodynamics of Pseudoelasticity,” Continuum Mechanics and Thermodynamics, Vol. 5, pp. 163–204.

Leo P. H. , ShieldT. W., and BrunoP., 1993, “Transient Heat Transfer Effects on the Pseudoelastic Behavior of Shape-Memory Wires,” Acta Metallurgica et Materialia, Vol. 41, N. 8, pp. 2477–2485.

Liang, C., and Rogers, C. A., 1991, “The Multi-Dimensional Constitutive Relations of Shape Memory Alloys,” Proceedings, AIAA/ASME/ASCE/HAS/ASC 32nd Structures, Structural Dynamics, and Materials Conference, Part 1, Washington, DC. pp. 178–185.

Marketz F. , and FischerF. D., 1995, “A Mesoscale Study on the Thermodynamic Effect of Stress on Martensitic Transformation,” Metallurgical and Materials Transactions A, Vol. 26A, pp. 267–278.

Marketz F. , and FischerF. D., 1996, “Modelling the Mechanical Behavior of Shape Memory Alloys under Variant Coalescence,” Computational Materials Science, Vol. 5, pp. 210–226.

McDowell D. L. , 1985, “An Experimental Study of the Structure of Constitutive Equations for Nonproportional Cyclic Plasticity,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY, Vol. 107, pp. 307–315.

Orge´as, L., and Favier, D., 1996, “Non-symmetric Tension-Compression Behavior of NiTi Alloy.” Journal de Physique IV, C8-605-610.

Patel J. R. , and CohenM., 1953, “Criterion for the Action of Applied Stress in the Martensitic Transformation,” Acta Metallurgica, V. 1, pp. 531–538.

Patoor E. , EberhardtA., and BerveillerM., 1994, “Micromechanical Modelling of the Shape Memory Behavior,” Proceedings, Mechanics of Phase Transformations and Shape Memory Alloys, Chicago, IL, ASME AMD-Vol. 189, pp. 23–37.

Patoor, E., El Amrani, M., Eberhardt, A., and Berveiller, M., 1995, “Determination of the Origin for the Dissymmetry Observed between Tensile and Compression Tests on Shape Memory Alloys,” Journal de Physique IV, C2-495-500.

Patoor, E., Eberhardt, A., and Berveiller, M., 1996, “Micromechanical Modelling of Superelasticity in Shape Memory Alloys,” Journal de Physique IV, C1-277-292.

Raniecki B. , LexcellentC., and TanakaK., 1992, “Thermodynamic Models of Pseudoelastic Behavior of Shape Memory Alloys,” Archives of Mechanics, Vol. 44, pp. 261–288.

Shaw J. A. , and KyriakidesS., 1997, “On the Nucleation and Propagation of Phase Transformation Fronts in a NiTi Alloy,” Acta Materialia, Vol. 45, N. 2, pp. 683–700.

Sittner P. , HaraY., and TokudaM., 1995, “Experimental Study on the Thermoelastic Martensitic Transformation in Shape Memory Alloy Polycrystal Induced by Combined External Forces,” Metallurgical and Materials Transactions, Vol. 26A, pp. 2923–2935.

Sittner P. , TakakuraM., HaraY., and TokudaM., 1996, “On Transformation Pathways of General Stress Controlled Thermoelastic Martensite Transformation in Shape Memory Alloys,” Journal de Physique IV, Vol. 6, 1-357.

Vacher P. , and LexcellentC., 1991, “Study of Pseudoelastic Behaviour of Polycrystalline Shape Memory Alloys by Resistivity Measurements and Acoustic Emission,” Proceedings of ICM VI, Kyoto, Vol. 3, pp. 231–236.