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Finite elements adding and removing method for two-dimensional shape optimal design

Lookup NU author(s): Dr John Bull


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A simple procedure to add and remove material simultaneously along the boundary is developed to optimize the shape of a two dimensional elastic problems and to minimize the maximum von Mises stress. The results for the two dimensional infinite plate with a hole, are close to the theoretical results of an elliptical boundary and the stress concentration is reduced by half for the fillet problem. The proposed shape optimization method, when compared with existing derivative based shape optimization methods has many features such as simplicity, applicability, flexiblity, computational efficiency and a much better control on stresses on the design boundary.

Publication metadata

Author(s): Lim KH, Bull JW, Kim HK

Publication type: Article

Publication status: Published

Journal: KSME International Journal

Year: 2001

Volume: 15

Issue: 4

Pages: 413-421

ISSN (print): 1738-494X

ISSN (electronic): 1976-3824

Publisher: Springer