Stress and strain states in a pseudoelastic wire subjected to bending rotation

Mechanics of Materials

Volumn 38, Issue 11, 2006, Pages 1012-1025

  Wagner, Martin F X ^a   Eggeler, Gunther ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Bending rotation; Euler Bernoulli hypothesis; Pseudoelastic wire; Stress and strain states

Indexed keywords

BENDING (DEFORMATION); MATHEMATICAL MODELS; MEDICAL APPLICATIONS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; STRAIN; STRESS ANALYSIS;

BENDING ROTATION; EULER-BERNOULLI HYPOTHESIS; PSEUDOELASTIC WIRE; STRESS AND STRAIN STATES;

WIRE;

EID: 33746168644     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2005.12.004     Document Type: Article

References (33)

1. Atanacković T., and Achenbach M. Moment-curvature relations for a pseudoelastic beam. Continuum Mech. Therm. 1 (1989) 73-80
2. Duerig T.W., and Zadno R. An engineer's perspective of pseudoelasticity. In: Duerig T.W., Melton K.N., Stöckel D., and Wayman C.M. (Eds). Engineering Aspects of Shape Memory Alloys (1990), Butterworth-Heinemann, London, Great Britain 369-393
3. Duerig T., Pelton A., and Stöckel D. An overview of nitinol medical applications. Mater. Sci. Eng. A 273-275 (1999) 149-160
4. Eggeler G., Hornbogen E., Yawny A., Heckmann A., and Wagner M. Structural and functional fatigue of NiTi shape memory alloys. Mater. Sci. Eng. A378 (2004) 24-33
5. Gall K., and Sehitoglu H. The role of texture in tension-compression asymmetry in polycrystalline NiTi. Int. J. Plasticity 15 (1999) 69-92
6. Gross D., Hauger W., Schnell W., and Wriggers P. Technische Mechanik, fifth ed. vol. 4 (2004), Springer, Berlin, Germany (in German)
7. Janssen, J., Willems, F., Verelst, B., Maertens, J., Delaey, L., 1982. The fatigue properties of some Cu-Zn-Al shape memory alloys. In: Delaey, L., Chandrasekaran, M. (Eds.), Proceedings of the International Conference on Martensitic Transformations (ICOMAT-82), EDP Sciences, Les Ulis Cedex, France, pp. 809-812.
8. Khalil-Allafi J., Hasse B., Klönne M., Wagner M., Pirling T., Predki W., and Schmahl W.W. In-situ diffraction investigation of superelastic NiTi shape memory alloys under mechanical stress with neutrons and with synchrotron radiation. Materialwiss. Werkst. 35 (2004) 280-283
9. Kim Y. Fatigue properties of the Ti-Ni base shape memory alloy wire. Mater. Trans. 43 (2002) 1703-1706
10. Kim, Y.S., Miyazaki, S., 1997. Fatigue properties of Ti-50.9at%Ni shape memory wires. In: Pelton, A.R., Hodgson, D.E., Russell, S.M., Duerig, T.W. (Eds.), Proceedings of the Second International Conference on Shape Memory and Superelastic Technology, SMST, Santa Clara, California, USA, pp. 473-478.
11. Krone L., Mentz J., Bram M., Buchkremer H.-P., Stöver D., Wagner M., Eggeler G., Christ D., Reese S., Bogdanski D., Köller M., Esenwein S.A., Muhr G., Prymak O., and Epple M. The potential of powder metallurgy for the fabrication of biomaterials on the basis of nickel-titanium: a case study with a staple showing shape memory behaviour. Adv. Eng. Mater. 7 (2005) 613-619
12. Liu Y., and Galvin S.P. Criteria for pseudoelasticity in near-equiatomic NiTi shape memory alloys. Acta Mater. 45 (1997) 4431-4439
13. Liu Y., Xie Z., Van Humbeeck J., and Delaey L. Asymmetry of stress-strain curves under tension and compression for NiTi shape memory alloys. Acta Mater. 46 (1998) 4325-4338
14. Melton K.N., and Mercier O. Fatigue of NiTi thermoelastic martensites. Acta Met. 27 (1979) 137-144
15. Microsoft Corporation, 1998. Visual Basic 6.
16. Miyazaki S., Mizukoshi K., Ueki T., Sakuma T., and Liu Y. Fatigue life of Ti-50at.%Ni and Ti-40Ni-10Cu (at.%) shape memory alloy wires. Mater. Sci. Eng. A 273-275 (1999) 658-663
17. Morgan, N.B., Friend, C.M., 2001. A review of shape memory stability in NiTi alloys. In: Airoldi, G., Besseghini, S. (Eds.), Proceedings of the Fifth European Symposium on Martensitic Transformations and Shape Memory Alloys, EDP Sciences, Les Ulis Cedex, France, pp. 325-332.
18. Patoor, E., El Amrani, M., Eberhardt, A., Berveiller, M., 1995. Determination of the origin for the dissymmetry observed between tensile and compression tests on shape memory alloys. In: Planes, A., Ortín, J., Mañosa, L. (Eds.), Proceedings of the Third European Symposium on Martensitic Transformations, EDP Sciences, Les Ulis Cedex, France, pp. 495-500.
19. Richter, J., Wagner, M., Grönemeyer, D., Eggeler, G., in press. Development and fatigue experiments of a novel non-linear medical drilling device containing a flexible NiTi shaft. In: Mertmann, M., Duerig, T. (Eds.), Proceedings of the Second European Conference on Shape Memory and Superelastic Technology (SMST-2004), ASM International, USA.
20. Sawaguchi T., Kausträter G., Yawny A., Wagner M., and Eggeler G. Crack Initiation and propagation in 50.9at.%Ni-Ti pseudoelastic shape memory wires in bending rotation fatigue. Metall. Mater. Trans. A34 (2003) 2847-2860
21. Schmahl W.W., Khalil-Allafi J., Hasse B., Wagner M., Heckmann A., and Somsen C. Investigation of the phase evolution in a super-elastic NiTi shape memory alloy (50.7 at.%Ni) under extensional load with synchrotron radiation. Mater. Sci. Eng. A 378 (2004) 81-85
22. Szabó I. Einfuehrung in die Technische Mechanik. seventh ed. (1966), Springer, Berlin, Germany (in German)
23. Timoshenko S.P., and Goodier J.N. Theory of Elasticity. 3rd ed. (1970), McGraw-Hill, New York, USA
24. Tobushi H., Hachisuka T., Hashimoto T., and Yamada S. Cyclic deformation and fatigue of a TiNi shape-memory alloy wire subjected to rotating bending. Trans. ASME 120 (1998) 64-70
25. Tobushi H., Nakahara T., Shimeno Y., and Hashimoto T. Low-cycle fatigue of TiNi shape memory alloy and formulation of fatigue life. J. Eng. Mater. Technol. 122 (2000) 186-191
26. Van Humbeeck J. Non-medical applications of shape memory alloys. Mater. Sci. Eng. A 273-275 (1999) 134-148
27. Van Humbeeck J. Shape Memory Alloys: A Material and A Technology. Adv. Eng. Mater. 3 (2001) 837-850
28. Wagner, M., Eggeler, G., in press. Evolution of microstructural parameters during cycling of NiTi and their effect on mechanical and thermal memory. In: Mertmann, M., Duerig, T. (Eds.), Proceedings of the Second European Conference on Shape Memory and Superelastic Technology (SMST-2004), ASM International, USA.
29. Wagner M., Richter J., Frenzel J., Grönemeyer D., and Eggeler G. Design of a medical non-linear drilling device: the influence of twist and wear on the fatigue behaviour of NiTi wires subjected to bending rotation. Materialwiss. Werkst. 35 (2004) 320-325
30. Wagner M., Sawaguchi T., Kausträter G., Höffken D., and Eggeler G. Structural fatigue of pseudoelastic NiTi shape memory wires. Mater. Sci. Eng. A 378 (2004) 105-109
31. Wagner, M., Yu, J.-K., Kausträter, G., Eggeler, G., 2004c. Functional fatigue of NiTi shape memory coil spring actuators. In: Borgmann, H. (Ed.), Proceedings of the 9th International Conference on New Actuators (ACTUATOR 2004), Hanseatische Veranstaltungs-GmbH, Hamburg, Germany, pp. 629-632.
32. Wick, A., Vöhringer, O., Pelton, A.R., 1995. The bending behavior of NiTi. In: Gotthardt, R., Van Humbeeck, J. (Eds.), Proceedings of the International Conference on Martensitic Transformations (ICOMAT-95)-Part II, EDP Sciences, Les Ulis Cedex, France, pp. 789-794.
33. Yawny A., Sade M., and Eggeler G. Pseudoelastic cycling of straight annealed Ni-rich shape memory wires: mechanical data and microstructural processes. Z. Metall. 96 (2005) 608-618