The constitutive relationship between applied pure bending moment and the resulting curvature of a few superelastic alloy wires is applied to the three-point bending problem. Three-point bending experiments on hard and soft loading machines are described. The relationship between the applied deflection and the resulting force in three-point bending is calculated from a nonlinear Euler-Bernoulli rod theory. A numerical procedure used to solve the three-point bending problem for both loading and unloading is briefly described and numerical results are compared with experiment.
Issue Section:
Technical Papers
1.
Berg, B. T., 1991, “Bending of Superelastic Wires,” Technical Report 91–63, University of Minnesota, Army High Performance Computing Research Center, Minneapolis, MN.
2.
James
R. D.
1981
, “The Equilibrium and Post-Buckling Behavior of an Elastic Curve Governed by a Non-convex Energy
,” J. of Elasticity
, Vol. 11
, pp. 239
–269
.3.
Kohlrausch, F., 1894, An Introduction to Physical Measurements, 3rd ed., J. A. Churchill.
4.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W., 1986, Numerical Recipes, Cambridge University Press.
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