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Shape Optimization of Continuum with Crack

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Structural Optimization

Abstract

The present paper studies the problem of shape optimization from the viewpoint of structural design philosophy based on durability and damage tolerance. Initial cracks are assumed to exist or to occur at an early stage of fatigue life. The objective is to minimize the crack propagation rate, or the stress intensity factor range. Quadratic boundary elements are applied to discretize the continuum to be optimized. To obtain the stress intensity factor range, quarter-point singular elements are placed at the tip of the crack. The sensitivity of the stress intensity factor with respect to the structural shape is derived. A numerical example is presented and dicussed.

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References

  1. Pedersen, P. and Laursen, C. (1982) “Design for minimum stress concentration by finite elements and linear programming”, J. Struc. Mech., 10, 375–391.

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  2. Cheng, G.D. and Wang, L. (1984) “A numerical method of shape optimization and the course line search strategy”, Eng. Opt, 8, 69–82.

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  3. Brebbia, C.A. (Ed.) (1981) “Progress in boundary element methods”, Vol. 2. Pentech Press.

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  4. Cheng, G.D. “Some improvement of numerical method for shape optimization”, Proc. China-US Workshop on Advances of Comp. Eng. Mech., Dalian, China, 1983.

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Author information

Authors and Affiliations

  1. Research Institute of Engineering Mechanics, Dalian Institute of Technology, Dalian, 116024, China

    Gengdong Cheng

  2. Beijing Institute of Technology, Beijing, China

    Biao Fu

Authors
  1. Gengdong Cheng
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  2. Biao Fu
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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 Plublishers

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Cheng, G., Fu, B. (1988). Shape Optimization of Continuum with Crack. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_8

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_8

  • 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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