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Author: Yeh-Liang Hsu, S. D. Sheppard and D. J. Wilde (1993-11-14); recommended: Yeh-Liang Hsu (2004-12-15).
Note: This paper is published in Computers and Structures, Vol. 55, No. 4, p.647-657. Vol. 55, n 4, May 17, 1995, p 647-657 Computers in Industry, Vol. 25, No. 1, pp. 3-13, November, 1994.

The Curvature Function Method for Two-Dimensional Shape Optimization Under Stress Constraints


The curvature function method for two-dimensional shape optimization under stress constraints is developed. This method uses curvatures along the boundary curve as the design variables. First it is shown that local curvature has a monotonic relation to stress. Based on this, a zero-order search direction can be defined to search for the optimum curvature function which achieves a fully stressed boundary. No sensitivity analysis is required, and the method is completely independent of the analysis techniques for calculating the stress. The resulting curve has C2 continuity if the curvature function is continuous. Three design examples are presented.