A fictitious energy approach for shape optimization

Scherer, M., Denzer, R. and Steinmann, P. (2010) A fictitious energy approach for shape optimization. International Journal for Numerical Methods in Engineering, 82(3), pp. 269-302. (doi: 10.1002/nme.2764)

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Abstract

This paper deals with shape optimization of continuous structures. As in early works on shape optimization, coordinates of boundary nodes of the FE-domain are directly chosen as design variables. Convergence problems and problems with jagged shapes are eliminated by a new regularization technique: an artificial inequality constraint added to the optimization problem limits a fictitious total strain energy that measures the shape change of the design with respect to a reference design. The energy constraint defines a feasible design space whose size can be varied by one parameter, the upper energy limit. By construction, the proposed regularization is applicable to a wide range of problems; although in this paper, the application is restricted to linear elastostatic problems.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Scherer, M., Denzer, R., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal for Numerical Methods in Engineering
Publisher:Wiley
ISSN:0029-5981
ISSN (Online):1097-0207
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