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Quality Control of Finite Element Analyses in Shape Optimization

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Abstract

The goal of this paper is to present an automatic optimization procedure which ensures the validity of the final design. The main objective of this work is to find out the best way to combine optimization with finite element error estimation. A numerical example shows the advantages of the procedure.

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References

  1. Beckers, P. and Zhong, H.G. (1994) Mesh adaptation for 2D stress analysis, 2nd International Conference on Computational Structures Technology, Athens, Greece, published in Advances in Post Preprocessing for Finite Element Technology, 47–59, Civil Comp Ltd, Edinburgh, Scotland B.H.V. Topping and Papadrakakis (editors).

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  2. Bugeda, G. and Oliver, J. (1993) A general methodology for structural shape optimization problems using automatic adaptive remeshing, Int. J. Num. Meth. Engng., vol 36, 3161–3185

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  3. Coorevits, P., Ladevèze, P. and Pelle J.P. (1995) An automatic procedure with a control of accuracy for finite element analysis in 2D elasticity, Comput. Meth. Appl. Engng., vol 121, 91–120

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  4. Cugnon, F., Beckers, P. and Zhong, H.G. (1995) Design of a general architecture for 3-D shape optimization with mesh adaptation, project BRITE EURAM BRE2-CT94-0590-MODSYSS, internal report SA-181

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  5. Duysinx, P., Zhang, W.H., Zhong, H.G., Beckers, P., and Fleury, C. (1994) Structural shape optimization with error control, ASME Conference on Design Automation, Minneapolis

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  6. Fleury, C. (1989) An efficient dual optimizer based on convex approximation concepts, Structural Optimization, Vol. 2, 81–89

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  7. Zhong, H.G. and Beckers, P. (1993) Stress smoothing by local averaging and extrapolation — Application to error estimation, Seventh World Congress on Finite Element Methods, Monte-Carlo, Monaco, published in FEM Today and the Future, Robinson & Associates (editor)

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© 1997 Springer Science+Business Media Dordrecht

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Cugnon, F., Beckers, P. (1997). Quality Control of Finite Element Analyses in Shape Optimization. In: Chedmail, P., Bocquet, JC., Dornfeld, D. (eds) Integrated Design and Manufacturing in Mechanical Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5588-5_19

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  • DOI: https://doi.org/10.1007/978-94-011-5588-5_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6356-2

  • Online ISBN: 978-94-011-5588-5

  • eBook Packages: Springer Book Archive

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