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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 332))

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Abstract

The paper first states the basic theorems of rigid-perfectly plastic limit analysis, proofs and details being given in appendices 1 and 2. It then explains how to base the description of structures on the theorem of virtual powers. Application to beams in bending follows, again with appendices 3 and 4 for details. Plates, shells and disks are briefly considered, the general solutions process being illustrated on circular plates examples. Multiple loading, optimal design and post-yield behaviour are then examined very rapidly. Experimental verification of the theory is discussed and the paper ends with remarks on the development of the numerical approach.

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References

  1. SAVE, M.A. and MASSONNET, C.E., Plastic Analysis and Design of Plates, Shells and Disks, North-Holland Pub., 1972.

    MATH  Google Scholar 

  2. COLLINS, I.F., “The Upper Bound Theorem for Rigid-Plastic Solids Generelized to Include Coulomb Friction”, Jour. Mech. Phys. Solids, Vol. 17, 1969, p. 323.

    Article  Google Scholar 

  3. MASSONNET, C.E. and SAVE, M.A., Plastic Analysis and Design of Beams and Frames, Blaisdell Pub., Waltham, Mass., U.S.A., 1965.

    Google Scholar 

  4. SAVE, M.A., A Unified Fromulation of the Theory of Optimal Plastic Design with Convex Cost Function, Journ. Struct. Mech., Vol. 1, 1972, p. 267–276.

    Article  Google Scholar 

  5. ROZVANY, G.I.N., Optimal Design of Flexural Systems, Pergamon Press, Oxford, England, 1976.

    Google Scholar 

  6. GAVARINI, C., “Une Méthode Générale pour l’Etude du Comportement des Structures après la Ruine Rigide-Plastique”, Séminaire de Mécanique des Solides et des Structures, Faculté Polytechnique, Département d’Architecture, Mons, 1969.

    Google Scholar 

  7. MASSONNET, C.A. and SAVE, M.A., Calcul Plastique des Constructions, Vol. 1, 3ème édition, Nelissen Pub., Liège, 1977.

    Google Scholar 

  8. LAY, M.G. and SMITH, P.D., “The Role of Strain-Hardening in Plastic Design”, Journ. Struct. Div., A.S.C.E., Vol. 91, 1965, p. 25.

    Google Scholar 

  9. STUSSI, F. and KOLLBRUNNER, C.F., “Beitrag zum Traglastverfahren”, Bautechnik, Vol. 13, 1935, p. 264.

    Google Scholar 

  10. COOPER, R.M. and SHIFRIN, G.A., “An Experiment on Circular Plates in the Plastic Range”, Proc. 2nd U.S. Nat. Cong., Appl. Mech. A.S.M.E., Ann Arbor, Michigan, 1954.

    Google Scholar 

  11. HOPKINS, H.G. and PRAGER, W., “The Load-Carrying Capacity of Circular Plates”, J. Mech. Phys. Solids, Vol. 2, 1953, p. 1.

    Article  MathSciNet  Google Scholar 

  12. LANCE, R.H. and ONAT, E.T., “A Comparison of Experiments and Theory in the Plastic Bending of Plates”, J. Mech. Phys. Solids, Vol. 10, 1962, p. 301.

    Article  Google Scholar 

  13. SAVE, M.A., “Vérification Expérimentale de l’Analyse des Plaques et des Coques en Acier Doux” (Experimental Verification of Plastic Limit of Mild Steel Plates and Shells), C.R.I.F. Report, M.T. 21, February, Fabrimetal, Brussels, 1966.

    Google Scholar 

  14. DEL RIO, L., “Analyse Limite des Plaques Rectangulaires” These de Maitrise en Sciences Appliquées, Faculté Polytechnique, Mons, Belgique, 1970.

    Google Scholar 

  15. WOOD, R.H., Plastic and Elastic Analysis and Design of Slabs and Plates, Thames an Hudson, London, 1961.

    Google Scholar 

  16. JANAS, M., “Large Plastic Deflections of Reinforced Concrete Slabs”, Int. J. Solids and Struct., Vol. 3, November, 1967, p. 4.

    Google Scholar 

  17. BOUMA, A.L., RIEL, A.C., VAN KOTEN, H. and BERANEK, W.J., Investigations on Models of Eleven Cylindrical Shells made of Reinforced and Prestressed Concrete, Shells Research, North-Holland Publ., Amsterdam, 1961, p. 79–101.

    Google Scholar 

  18. SAVE, M. and PRAGER, W., Editors: Structural Optimization, Vol. 1 Optinalily criteria, by SAVE, PRAGER and SACCHI, Plenum Press, New-york, 1985.

    MATH  Google Scholar 

  19. SAVE, M. and PRAGER, W., Editors: Structural Optimization, Vol. 2 Mathematical Programming, by BORKOWSKI, JENDO, and REITMAN, Plenum Press, New-york, 1990.

    Google Scholar 

  20. SAVE, M. and PRAGER, W., Editors: Structural Optimization, Vol. 3 Applications to metal and concrete structures, by COHN, FRANGOLOL and ESCHENAUER, to appear at Plenum Press, New-york.

    Google Scholar 

  21. ROZVANY, G.I.N., Optimal Design of Flexural Systems, Pergamon Press, Oxford, 1976.

    Google Scholar 

  22. ROZVANY, G.I.N., Structural design via optimal criteria, Kluwer, Doordrecht, 1989.

    Book  Google Scholar 

  23. BRANDT, A., Editor: Criteria and Methods of structural Optimization, PWN - Polish Scientific Publishers, Warszawa, and Martinus Nijhoff Pub, The Hague - Boston - Lancaster, 1984.

    Google Scholar 

  24. COHN, M.Z. and MAIER, Editors: G., Engineering Plasticity by Mathematical Programming, Pergamon Press, 1979.

    Google Scholar 

  25. CHEN, W.F. and LIU, X.L., Limit Analysis in Soil Sechanics, Developments in Geotechnical Engineering, Vol. 52, Elsevier, 1990.

    Google Scholar 

  26. NGUYEN DANG, H., The Plasticity and the Limit State Analysis and design by finite element method, Birhauser-verlag, 1990.

    Google Scholar 

  27. SAVE, M. Editor: Atlas of Limit Loads of Metal Plates, Shells and Disks, to be published by Elsevier Pub. Co.

    Google Scholar 

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© 1993 Springer-Verlag Wien

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Save, M. (1993). Rigid-Plastic Analysis and Design. In: Landriani, G.S., Salençon, J. (eds) Evaluation of Global Bearing Capacities of Structures. International Centre for Mechanical Sciences, vol 332. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2752-0_4

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  • DOI: https://doi.org/10.1007/978-3-7091-2752-0_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82493-1

  • Online ISBN: 978-3-7091-2752-0

  • eBook Packages: Springer Book Archive

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