Stress ratio and compliance based methods in topology optimization --- a critical review

Authors:
G. I. N. Rozvany
Affiliations:
Dept. of Structural Mechanics, Faculty of Civil Engineering, Budapest University of Technology and Economics, Müegyetem rkpt. 3, Kmf 35, H-1521 Budapest, Hungary
Venue:
Structural and Multidisciplinary Optimization
Year:
2001

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Abstract

Several currently popular methods of topology optimization are closely related to the classical Fully Stressed Design (FSD)/Stress Ratio (SR) or Minimum Compliance (MC)/Uniform Energy Distribution (UED) methods. The ranges of validity of the above techniques --- and of recent variations on the same themes --- are examined critically and possible extensions of their validity considered.Particular attention is paid to so-called "hard-kill" or Evolutionary Structural Optimization (ESO) or Adaptive Biological Growth (ABG) methods and to the Generalized Stress Design (GSD) technique.