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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 40
ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper VII.2

Topology Optimization for Discrete, Symmetric and Stable Material Layout Designs

C.C. Swan and I. Kosaka

Department of Civil & Environmental Engineering, The University of Iowa, United States of America

Full Bibliographic Reference for this paper
C.C. Swan, I. Kosaka, "Topology Optimization for Discrete, Symmetric and Stable Material Layout Designs", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 167-176, 1996. doi:10.4203/ccp.40.7.2
Abstract
Desired results of continuous, variable topology material Layout computations are stable, discrete and optimal material phase distributions throughout the design domain. Such material layout designs are achieved using a topology optimization framework based on hybrid families of classical Reuss (compliant) and viogt (stiff) mixing rules, presented herein complete with design sensitivity analysis. The continuous topology formulation is coupled with a novel volume-averaging procedure to eliminate checkerboarding instabilities and a robust method for imposing geometrical symmetry on a layout designs which significantly reduces the size of the optimization problem. The performance of the proposed techniques are demonstrated on compliance minimization and eigenvalues tailoring problems.

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