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Design for Minimum Stress Concentration — Some Practical Aspects

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Book cover Structural Optimization

Abstract

The procedure necessary to obtain the shape which returns minimum stress concentration involves many choices, and we shall here sum up common personal experiences from solutions to different problems. Parametrization of the design shape is carried out using global expansion functions, very much like modal expansion in vibrational analysis. Finite element modelling is treated independent of design modelling and too simple finite elements are avoided. Linear stress elements are obtained from constant stress elements and this is utilized in the sensitivity analysis, that to a large extent is performed analytically.

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References

  1. Kristensen, E.S. & Madsen, N.F.: ‘On the optimum shape of fillets in plates subjected to multiple in-plane loading cases’. Int. J. Numer. Meth. Engng. 10, 1007–1019, 1976.

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  4. Pedersen, P.: ‘Some properties of linear stress triangles and optimal finite element models’. Int. J. Numer. Meth. Engng. 7, 415–429, 1973.

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  5. Pedersen, P.: ‘On computer-aided analytic element analysis and the similarities of tetrahedron elements’. Int. J. Numer. Meth. Engng. 11, 611–622, 1977.

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  6. Barthelemy, B. & Haftka, R.T.: ‘Accuracy analysis of the semi-analytical method for shape sensitivity calculation’. To appear in Proceedings of AIAA. SDM Conference. Virginia. Apr. 1988.

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  7. Pedersen, P., Cheng, G. & Rasmussen, J.: ‘On accuracy problems for semi-analytical sensitivity analysis’. DCAMM Report No. 367, 15 p., Dec. 1987.

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Author information

Authors and Affiliations

  1. Department of Solid Mechanics, The Technical University of Denmark, DK-2800, Lyngby, Denmark

    Pauli Pedersen

Authors
  1. Pauli Pedersen
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Editor information

Editors and Affiliations

  1. Department of Structural Design, Essen University, Universitätstraße 15, 4300, Essen 1, Germany

    G. I. N. Rozvany

  2. School of Civil and Mining Engineering, The University of Sydney, Sydney, NSW, 2006, Australia

    B. L. Karihaloo

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© 1988 Kluwer Academic Publishers

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Pedersen, P. (1988). Design for Minimum Stress Concentration — Some Practical Aspects. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_29

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7132-1

  • Online ISBN: 978-94-009-1413-1

  • eBook Packages: Springer Book Archive

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