Optimal Design of a Medical Staple Using Shape Memory Alloy

[+] Author and Article Information
Y. Lin, M. Huang, M. Zhang

Department of Mechanical & Aerospace Engineering, University of Missouri, Columbia, MO 65211

J. Mech. Des 121(1), 71-76 (Mar 01, 1999) (6 pages) doi:10.1115/1.2829432 History: Received March 01, 1997; Revised December 01, 1998; Online December 11, 2007


This paper presents the mechanical design of a medical staple using shape memory alloy (SMA) material. The design problem was formulated as an optimization problem minimizing an energy functional. The constraints were the length of wire, the properties of the SMA material, and the required clamping force. The Euler-Lagrange equation of this isoperimetric calculus of variation problem was derived, which was a fourth order two-point boundary value problem. An analytical solution was constructed and verified. A numerical optimization technique was applied to generate other possible solutions for the boundary value problem. The objective was to minimize the error of the solution for specific boundary conditions. The sequential quadratic programming algorithm was applied with Runge-Kutta integration to solve the boundary value problem. The design procedure described in this paper could be applied to the design of other mechanical components of wire form using SMA material.

Copyright © 1999 by The American Society of Mechanical Engineers
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