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- W2083334526 abstract "This paper considers an optimization problem aimed at finding the best shape for an elastic bar in torsion, if the stress concentration is to be minimized. The optimization problem is formulated and a precise statement for the corresponding boundary-value problem is given. It is shown that among all solid bars with the same cross-sectional area, a circular shaft possesses the minimum stress concentration under fixed torque. The necessary optimality conditions, adjoint problem and the formulae of sensitivity analysis in optimal design problems are deduced. A numerical algorithm is given for the shape optimization. The algorithm is based on boundary integral equations for the solution of direct and conjugate boundary-value problems and on the gradient method for shape variations of the cross-section of a bar. Finally, the actual solution of the optimization problem is discussed." @default.
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- W2083334526 date "1989-01-01" @default.
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- W2083334526 title "Numerical method for shape optimization using BEM" @default.
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- W2083334526 doi "https://doi.org/10.1016/0045-7949(89)90461-6" @default.
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