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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 72
IDENTIFICATION, CONTROL AND OPTIMISATION OF ENGINEERING STRUCTURES Edited by: G. De Roeck and B.H.V. Topping
Paper V.2
A Shape Optimization Technique by Finite Element Simulation of Durelli's Method of Photoelastic Stress Minimization V. Nguyen and D. Tran
Faculty of Engineering and Science, Victoria University of Technology, Victoria, Australia V. Nguyen, D. Tran, "A Shape Optimization Technique by Finite Element Simulation of Durelli's Method of Photoelastic Stress Minimization", in G. De Roeck, B.H.V. Topping, (Editors), "Identification, Control and Optimisation of Engineering Structures", Civil-Comp Press, Edinburgh, UK, pp 133-144, 2000. doi:10.4203/ccp.72.5.2
Abstract
A very effective experimental method in plane stress problems
to find the optimal profile of the holes to minimize
stress and weight is Durelli's method of Photoelastic Stress
Minimization (PSM). In this paper, the process of removing
material slowly step by step from the stress raiser boundary in
low stress region of the design domain is realised by finite
element simulation of Durelli's method (FESD). An algorithm
is developed to simulate PSM automatically using common
FEM software and modest hardware. It incorporates a
scheme of removing elements and smoothing the boundary
after each iteration step to avoid effects of artificial stress raisers
due to the process of removing elements, and control features
to ensure the convergence to the optimal solution. The
optimum profile found for a plate with a circular hole under
biaxial tensile stress agrees with the analytical solution. In
the case of biaxial stress state of different signs which has not
been studied in the literature. the optimum hole profile is
drastically changed. I t is shown that in stress distribution exhibiting
isotropic points like this case. at certain stage of the
iterative optimzation process. a scheme to protect the isotropic
point has to be evoked to ensure convergence to the
optimum solution.
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