Skip to main content
SpringerLink
Log in

Sensitivity analysis and optimum design of elastic-plastic structural systems

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

The paper deals with elastic-plastic optimization of flexural structural systems, subjected to kinematic restrictions. A finite holonomic piecewise linear elastic-hardening constitutive law is adopted. Sensitivity analysis for the displacement field is also performed, and a suitable finite element formulation, allowing for the spreading of plasticity, is also given. Finally, some meaningful numerical applications, together with their physical interpretation, are presented.

Sommario

Nel presente lavoro si affronta il problema dell'ottimizzazione di elementi strutturali inflessi in regime elastoplastico, soggetti a vincoli cinematici. Per la descrizione del comportamento meccanico si adotta una legge costitutiva elastica incrudente, olonoma, linearizzata a tratti. Viene inoltre effettuata l'analisi di sensitivitá del campo di spostamenti e proposta una opportuna formulazione agli elementi finiti, adottando un modello a plasticitá diffusa. Infine, vengono presentate alcune applicazioni numeriche significative, illustrandone le implicazioni meccaniche.

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

Similar content being viewed by others

References

  1. HaugE. J. and CeaJ. (eds), Optimization of Distributed Parameter Structures, Proc. NATO-ASI, Iowa City, 1980, Noordhoff, The Netherlands, 1981.

    Google Scholar 

  2. MaierG., ‘Future directions in engineering plasticity’, in CohnM. Z. and MaierG. (eds) Engineering Plasticity by Mathematical Programming, Pergamon Press, New York, 1979, pp. 631–648.

    Google Scholar 

  3. KanekoI. and MaierG., ‘Optimum design of plastic structures under displacement constraints’, Comput. Methods Appl. Mech. Engrg. 27 (1981), 369–391.

    Google Scholar 

  4. BendsøeM. P. and SokolowskiJ., ‘Design sensitivity analysis of elastic-plastic analysis problems’, Mathematical Report, The Technical University of Denmark, Lyngby, Denmark, 1980.

    Google Scholar 

  5. CinquiniC. and ControR., ‘Optimization of elastic-hardening structure in presence of displacement constraints’, J. Mech. Trans. Auto. Design 106 (1984), 179–182.

    Google Scholar 

  6. CinquiniC., ‘Optimality criteria for materials with non-linear behaviour: Applications to beams in bending’, Engrg. Struct. 6 (1984), 61–64.

    Google Scholar 

  7. CinquiniC. and ControR., ‘Optimal design of beams discretized by elastic-plastic finite elements, Comput. & Structures, 20 (1–3) (1985), 475–485.

    Google Scholar 

  8. CinquiniC. and ControR., ‘Optimal design of elastic plastic structures’, in Mota SoaresC. A. (ed.) Computer Aided Optimal Design: Structural and Mechanical Systems, Proc. NATO-ASI, Troia, Portugal, 1986, Springer-Verlag, Berlin, 1987, pp. 313–353.

    Google Scholar 

  9. MaierG., ‘Teoremi di minimo in termini finiti per continui elasto-plastici con leggi costitutive linearizzate a tratti, Rend. Ist. Lomb. Sci. Lett. A 103 (1969), 1066.

    Google Scholar 

  10. CorradiL., ‘A displacement formulation for the finite element elastic-plastic problem’, Meccanica 18 (1983), 77–91.

    Google Scholar 

  11. CorradiL. and PoggiC., ‘A refined finite element model for the analysis of elastic-plastic frames’, Internat. J. Numer. Methods Engrg. 20 (1984), 2155–2174.

    Google Scholar 

  12. FleuryC. and BraibantV., ‘Structural optimization: A new dual method using mixed variables’, Internat. J. Numer. Methods Engrg. 23 (1986), 409–428.

    Google Scholar 

  13. TsaiJ. J. and AroraJ. S., ‘Optimum design of nonlinear structures with path dependent response’, Structural Optimization 1 (1989), 203–213.

    Google Scholar 

  14. TsaiJ. J. and AroraJ. S., ‘Nonlinear structural design sensitivity analysis for path dependent problems. Part 1: General theory’, Comput. Methods Appl. Mech. Engng. 81 (1990), 183–208.

    Google Scholar 

  15. TsaiJ. J., CardosoJ. E. B. and AroraJ. S., ‘Nonlinear structural design sensitivity analysis for path dependent problems. Part 2: Analytical examples’, Comput. Methods Appl. Mech. Engrg. 81 (1990), 209–228.

    Google Scholar 

  16. HaugE. J., ChoiK. K. and KomkovV., Design Sensitivity Analysis of Structural Systems, Academic Press, Orlando, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Meccanica Strutturale e Progettazione Automatica, Universitá di Trento, Via Mesiano 77, I-38050, Trento, Italy

    Antonio Cazzani & Marco Rovati

Authors
  1. Antonio Cazzani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marco Rovati
    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

Cazzani, A., Rovati, M. Sensitivity analysis and optimum design of elastic-plastic structural systems. Meccanica 26, 173–178 (1991). https://doi.org/10.1007/BF00429886

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00429886

Key words

Search

Navigation