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- W2101333586 abstract "A general method for shape design sensitivity analysis as applied to plane elasticity problems is developed with a direct boundary integral equation formulation, using the material derivative concept and adjoint variable method. The problem formulation is very general and a complete consideration is given to describing the boundary variation by including the tangential component of the velocity field. The method is then applied to obtain the sensitivity formula for a general stress constraint imposed over a small part of the boundary. The accuracy of the design sensitivity analysis is studied with a fillet and an elastic ring design problem. Among the several numerical implementations tested, the second order boundary elements with a cubic spline representation of the moving boundary have shown the best accuracy. A smooth characteristic function is found to be better than a plateau function for localization of the stress constraint. Optimal shapes for the two problems are presented to show numerical applications." @default.
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- W2101333586 date "1988-07-01" @default.
- W2101333586 modified "2023-10-13" @default.
- W2101333586 title "Boundary integral equation method for shape optimization of elastic structures" @default.
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- W2101333586 doi "https://doi.org/10.1002/nme.1620260709" @default.
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