Skip to main content
SpringerLink
Log in

Convergence of an algorithm in optimal design

  • Brief Notes
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

The convergence of an algorithm in optimal design for problems in which the material properties are described by a second-order tensor is proved in this paper. The heat conductance context has been chosen for the presentation. Numerical results by using this kind of algorithm have already been obtained by Allaireet al. (1996) in elasticity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Allaire, G. 1993: An introduction to homogenization and bounds on effective properties applied to optimal shape design.School on Homogenization (held in Trieste), SISSA Ref. 140/93/M, pp. 25–42

  • Allaire, G.; Bonnetier, E.; Francfort, G.A.; Jouve, F. 1996: Shape optimization by the homogenization method.Numerische Mathematik (to appear)

  • Bendsøe, M.P. 1995:Methods for optimization of structural topology, shape and material. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  • Gibiannsky, L. V. 1993: Bounds on the effective moduli of composite materials.School on Homogenization (held in Trieste), SISSA Ref. 140/93/M, pp. 169–208

  • Murat, F.; Tartar, L. 1985: Calul des variations et homogénéisation.Les méthodes de l'homogénéisation: théorie et applications en physique, Eyrolles 127, 319–369

    Google Scholar 

  • Rozvany, G.I.N. 1989:Structural design via optimality criteria. Dordrecht: Kluwer

    Google Scholar 

  • Rozvany, G.I.N.; Bendsøe, M.P.; Kirsch, U. 1995: Layout optimization of structures.Appl. Mech. Rev. 48, 41–119

    Google Scholar 

  • Tartar, L. 1985: Estimations fines de coefficients homogénéisés. In: Kree, P. (ed.)Ennio de Giorgi Colloq., pp. 168–187.Research Notes in Mathematics 125. London: Pitman

    Google Scholar 

  • Toader, A.M. 1996: Some links in numerical shape optimization.Preprint, Pré-Publicaçöes de Matemática 05/96, Centro de Matemática e Aplicaçöes Fundamentais, Universidade de Lisboa

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, F.C.U.L. and C.M.A.F., Av. Prof. Gama Pinto, 2, P-1699, Lisboa, Portugal

    A. M. Toader

Authors
  1. A. M. Toader
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Toader, A.M. Convergence of an algorithm in optimal design. Structural Optimization 13, 195–198 (1997). https://doi.org/10.1007/BF01199241

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01199241

Keywords

Search

Navigation