Design Sensitivity Derivatives for Isoparametric Elements as an Integrated Part of Finite Element Analysis

[+] Author and Article Information
K. W. Zumwalt

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

M. E. M. El-Sayed

Department of Mechanical Engineering, Florida International University, Miami, FL 33199

J. Mech. Des 115(3), 671-674 (Sep 01, 1993) (4 pages) doi:10.1115/1.2919243 History: Received March 01, 1991; Revised January 01, 1992; Online June 02, 2008


This work presents an approach for incorporating design sensitivity calculations into the finite element analysis. The formulation depends on the implicit differentiation approach and requires few additional calculations to obtain the design sensitivity derivatives. The implicit differentiation approach is developed and implemented to calculate the design sensitivities for continuum and structural isoparametric elements. To demonstrate the developed approach test cases using different structural and continuum element types are presented.

Copyright © 1993 by The American Society of Mechanical Engineers
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