The assessment of the residual post-transient stresses in elastic-perfectly plastic solids subjected to cyclic loads

Castrenze Polizzotto

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 2, page 133-144
  • ISSN: 1120-6330

Abstract

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For elastic-perfectly plastic solids (or structures) subjected to quasi-static cyclic loads, variational methods are presented for the direct eyâluation of the post-transient residual stresses, that is, the residual stresses in the structure at the end of the transient response phase, consequence of the plastic strains therein produced and crucial to predict the subsequent steady structural behaviour. The problem of the evaluation of the number of cycles spanned by the transient response is also discussed.

How to cite

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Polizzotto, Castrenze. "The assessment of the residual post-transient stresses in elastic-perfectly plastic solids subjected to cyclic loads." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.2 (1993): 133-144. <http://eudml.org/doc/244266>.

@article{Polizzotto1993,
abstract = {For elastic-perfectly plastic solids (or structures) subjected to quasi-static cyclic loads, variational methods are presented for the direct eyâluation of the post-transient residual stresses, that is, the residual stresses in the structure at the end of the transient response phase, consequence of the plastic strains therein produced and crucial to predict the subsequent steady structural behaviour. The problem of the evaluation of the number of cycles spanned by the transient response is also discussed.},
author = {Polizzotto, Castrenze},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Cyclic plasticity; Minimum principles; Residual stresses; minimum principles; quasi-static cyclic loads; transient response phase},
language = {eng},
month = {6},
number = {2},
pages = {133-144},
publisher = {Accademia Nazionale dei Lincei},
title = {The assessment of the residual post-transient stresses in elastic-perfectly plastic solids subjected to cyclic loads},
url = {http://eudml.org/doc/244266},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Polizzotto, Castrenze
TI - The assessment of the residual post-transient stresses in elastic-perfectly plastic solids subjected to cyclic loads
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/6//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 2
SP - 133
EP - 144
AB - For elastic-perfectly plastic solids (or structures) subjected to quasi-static cyclic loads, variational methods are presented for the direct eyâluation of the post-transient residual stresses, that is, the residual stresses in the structure at the end of the transient response phase, consequence of the plastic strains therein produced and crucial to predict the subsequent steady structural behaviour. The problem of the evaluation of the number of cycles spanned by the transient response is also discussed.
LA - eng
KW - Cyclic plasticity; Minimum principles; Residual stresses; minimum principles; quasi-static cyclic loads; transient response phase
UR - http://eudml.org/doc/244266
ER -

References

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  1. FREDERICH, C. O. - ARMSTRONG, P. J., Convergent internal stresses and steady cyclic state of stress. J. Strain Analysis, vol. 1, 1966, 154-161. 
  2. GOKHFELD, D. A. - CHERNIAVSKI, D. F., Limit Analysis of Structures at Thermal Cycling. Sijthoff & Noordhoff, Alphen and der Rijn, The Netherlands, 1980. Zbl0463.73030
  3. KONIG, J. A., Shakedown of Elastic-plastic Structures. PWN - Polish Scientific Publishers, Warsaw and Elsevier, Amsterdam1987. 
  4. MAIER, G., A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes. Meccanica, vol. 5, 1970, 55-66. Zbl0197.23303
  5. MARTIN, J. B., Plasticity: Fundamentals and General Results. The MIT Press, Cambridge, MA, 1975. 
  6. POLIZZOTTO, C., A study on plastic shakedown of structures. Part I: Basic properties. J. Appl. Mech., 1993, to appear. Zbl0774.73028
  7. POLIZZOTTO, C., A study on plastic shakedown of structures. Part II: Theorems. J. Appl. Mech., 1993, to appear. Zbl0774.73028
  8. PONTER, A. R. S., Shakedown and ratchetting below the creep range. Report EUR 8702 EN, Commission of European Communities, Brussels1983. 
  9. PONTER, A. R. S. - KARADENIZ, S., An extended shakedown theory for structures that suffer cyclic thermal loadings. Part. I: Theory. J. Appl. Mech., vol. 52, 1985, 877-882. 
  10. PONTER, A. R. S., An extended shakedown theory for structures that suffer cyclic thermal loadings. Part II: Applications. J. Appl. Mech., vol. 52, 1985, 883-889. 
  11. WASHIZU, K., Variational Methods in Elasticity and Plasticity. 3rd ed., Pergamon Press, Oxford1982. Zbl0164.26001MR391680
  12. ZARKA, J. - CASIER, J., Cyclic loading on elastic-plastic structures. In: S. NEMAT-NASSER (ed.), Mechanics Today. Pergamon Press, Oxford1979, 93-198. Zbl0467.73042

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