Bending of Superelastic Wires, Part I: Experimental Aspects

Author:

Berg B. T.1

Affiliation:

1. Army High Performance Computing Research Center, University of Minnesota, Minneapolis, MN 55455

Abstract

A pure-bending apparatus is used to measure the constitutive relationship between applied pure bending moments and the resulting curvatures of a few superelastic alloy wires. The sample nickel-titanium alloy (NiTi) wires change phase when ample bending moments are imposed. Like the material’s uniaxial tension stress-strain relationship, the measured moment-curvature relationship shows plateaus of constant moment and hysteresis. The bent shape is circular, except in the mixed phase region where it is composed of a phase mixture of circles. An example of the applications of the measured moment-curvature relations is presented in Part II of this paper where the three-point bending problem is considered.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Atanackovic` T. , and AchenbachM., 1989, “Moment-Curvature Relationships for a Pseudoelastic Beam,” Continuum Mechanics and Thermodynamics, Vol. 1, pp. 73–80.

2. Bell, J. F., 1984, The Experimental Foundations of Solid Mechanics (Mechanics of Solids), Springer-Verlag, Berlin.

3. Berg, B. T., 1994, Thermomechanics of Shape Memory Alloy Rods, Ph.D. thesis, University of Minnesota, Minneapolis, MN.

4. Fosdick R. L. , and JamesR. D., 1981, “The Elastica and the Problem of Pure Bending for a Nonconvex Stored Energy Function,” J. of Elasticity, Vol. 11, pp. 165–186.

5. Jackson, C. M., Wagner, H. J., and Wasilewski, R. J., 1972, “55-Nitinol—The Alloy with a Memory, Its Physical Metallurgy, Properties, and Applications,” Technical Report, National Aeronautics and Space Administration.

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