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Bounds to internal forces for elastic-plastic solids subjected to variable loads

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Sommario

Considerando un solido elasto-plastico incrudente con superfici di plasticizzazione lineari a tratti e legge di incrudimento lineare a tratti, si fornisce un metodo per la costruzione di maggiorazioni sulle forze interne nonché sulle tensioni limite (incrudite) provocate dai carichi in un punto qualunque del solido ed in un qualunque istante. La storia di carico è incognita, ma i carichi variano all'interno di un dato dominio.

Summary

Considering an elastic-plastic workhardening solid with piecewise linear yield surfaces and a piecewise linear workhardening law, we give a method for constructing bounds to the internal forces and to the (hardened) yield stresses produced by the action of variable loads at any point of the body and at any time. The loading history is supposed to be unknown, but the loads range within a given domain.

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References

  1. Martin J. B.,Impulsive loading theorems for rigid-plastic continua, J. Engineering Mechanics Division, Proc. ASCE, EM5, 27–42, 1964.

    Google Scholar 

  2. Martin J. B.,A displacement bound technique for elastic continua subjected to a certain class of dynamic loadings, J. Mech. Phys. Solids, Vol. 12, 165–175, 1964.

    Article  Google Scholar 

  3. Koiter W. T.,General theorems for elastic-plastic solids, in «Progress in Solid Mechanics», ed. by. I. N. Sneddon and R. Hill, North Holland, 167–221, 1964.

  4. Ponter A. R. S.,An upper bound on the displacements of elastic, perfectly plastic structures, J. Appl. Mech.,39, 959–963, 1972.

    Google Scholar 

  5. Vitiello E.,Upper bounds to plastic strains in shakedown of structures subjected to cyclic loads, Meccanica, Vol. XIII, (3), 205–213, 1972.

    Google Scholar 

  6. Maier G.,Upper bounds on deformations of elastic-workhardening structures in the presence of dynamic and second-order geometric effects, J. Struct. Mech.,2, 265–280, 1973.

    Google Scholar 

  7. Maier G. andVitiello E.,Bounds on plastic strains and displacements in dynamic shakedown of workhardening structures, J. Appl. Mech. Vol. 41, 434–440, 1974.

    Google Scholar 

  8. Maier G.,A shakedown matrix theory allowing for workhardening and second-order geometrix effects, in «Foundations of Plasticity», ed. by A. Sawczuk, Noordhoff, Leyden, 417–433, 1973.

    Google Scholar 

  9. Maier G. andCorradi L.,Upper bounds on dynamic deformation of elastoplastic continua, Meccanica, Vol. IX, (1), 30–35, 1974.

    Google Scholar 

  10. Capurso M.,Displacement bounding principles in the dynamics of elastoplastic continua, J. Struct. Mech. Vol. 3 (3), 259–281, 1974–75.

    Google Scholar 

  11. Capurso M.,A displacement bounding principle in shakedown of structures subjected to cyclic loads, Int. J. Solids Struct., 10, 77–92, 1974.

    Article  Google Scholar 

  12. Ponter A. R. S.,General displacement and work bounds for dynamically loaded bodies, J. Mech. Phys. Solids,23, 157–163, 1975.

    Google Scholar 

  13. Capurso M.,Some upper bound principles to plastic strain in dynamic shakedown of elastoplastic structures, Tech. Rep. I.S.C.B. No. 26, Università di Bologna, 1978.

  14. Polizzotto C.,A unified approach to quasi-static shakedown problems for elastic-plastic solids with piecewise linear yield surface, Meccanica (in press).

  15. Polizzotto C.,Upper bounds on plastic strains for elastic-perfectly plastic solids subjected to variable loads, Int. J. Mech. Sci., 21, 317–327, 1979.

    Article  Google Scholar 

  16. Polizzotto C.,A local bounding principle for dissipation energy in shakedown of elastic-perfectly plastic solids, Int. J. Solids Struct. (in press).

  17. Polizzotto C.,On workhardening adaptation of discrete structures under dynamic loadings, Archives of Mechanics (in press).

  18. Polizzotto C.,A bounding theorem for plastic work density in shakedown of workhardening solids, Journal de Mécanique Appliquée (submitted to).

  19. Polizzotto C., et al.Local bounds on dissipation energy in shakedown of elastic-perfectly plastic solids, Transactions of the 5-th Int. Conf. on Structural Mechanics in Reactor Technology, Berlin 13–17 Aug. 1979, SMIRT-5, Vol. 1, Paper 3/4.

  20. Maier G.,A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes, Meccanica, Vol. V, (1), 54–66, 1970.

    Google Scholar 

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Authors and Affiliations

  1. Facoltà di Architettura, Università di Palermo, Italy

    T. Panzeca

  2. Facoltà di Ingegneria, Università di Palermo, Italy

    C. Polizzotto

Authors
  1. T. Panzeca
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  2. C. Polizzotto
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Additional information

The results presented in this paper were obtained in the course of a research project sponsored by the National (Italian) Research Council, C.N.R., PAdIS Committee.

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Panzeca, T., Polizzotto, C. Bounds to internal forces for elastic-plastic solids subjected to variable loads. Meccanica 14, 194–201 (1979). https://doi.org/10.1007/BF02128436

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  • DOI: https://doi.org/10.1007/BF02128436

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