Rheological models and hysteresis effects

A. Visintin

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 213-241
  • ISSN: 0041-8994

How to cite

top

Visintin, A.. "Rheological models and hysteresis effects." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 213-241. <http://eudml.org/doc/108064>.

@article{Visintin1987,
author = {Visintin, A.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {rate-independent models; memory elements; elasto-plastic behaviour; hysteresis effects; classical Preisach model for ferromagnetism; local fracture; absolute irreversibility; dynamical problems; parallel arrangement of several rheological models; linear elastic element; viscous element; perfectly plastic elements; strain hardening; serial arrangement of several components; Existence; uniqueness theorems; rheological modelling},
language = {eng},
pages = {213-241},
publisher = {Seminario Matematico of the University of Padua},
title = {Rheological models and hysteresis effects},
url = {http://eudml.org/doc/108064},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Visintin, A.
TI - Rheological models and hysteresis effects
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 213
EP - 241
LA - eng
KW - rate-independent models; memory elements; elasto-plastic behaviour; hysteresis effects; classical Preisach model for ferromagnetism; local fracture; absolute irreversibility; dynamical problems; parallel arrangement of several rheological models; linear elastic element; viscous element; perfectly plastic elements; strain hardening; serial arrangement of several components; Existence; uniqueness theorems; rheological modelling
UR - http://eudml.org/doc/108064
ER -

References

top
  1. [1] H. Brezis, Problèmes unilateraux, J. Math. Pure Appl., 51 (1972), pp. 1-68. Zbl0237.35001MR428137
  2. [2] A. Damlamian - A. Visintin, Une généralisation vectorielle du modèle de Preisach pour l'hystéresis, C. R. Acad. Sc. Paris, t. 297 (24 oct. 1983), serie I, pp. 437-440. Zbl0546.35068MR732853
  3. [3] G. Duvaut - J. L. LIONS, Inequalities in mechanics and physics, Springer, Berlin, 1976. Zbl0331.35002MR521262
  4. [4] W.N. Findley - J.S. Lai - K. Onaran, Creep and relaxation of nonlinear viscoelastic materials, North-Holland, Amsterdam, 1976. Zbl0345.73034MR431847
  5. [5] S. FLÜGGE ed., Elasticity and Plasticity, volume VI of Encyclopedia of Physics, Springer-Verlag, Berlin, 1958. 
  6. [6] M.A. Krasnosel'ski, Equations with nonlinearities of hysteresis type (Russian), Abh. Akad. Wiss. DDR, 3 (1977), pp. 437-458. (English abstract in Zbt. 406-93032). MR528438
  7. [7] M.A. Krasnosel'ski et. al., Hysterant operator, Soviet Math. Dokl., 11 (1970), pp. 29-33. 
  8. [8] M.A. Krasnosel'skii - A. V. POKROVSKIĭ, Modeling transducers with hysteresis by means of continuous systems of relays, Soviet Math. Dokl., 17 (1976), pp. 447-451. Zbl0344.68033
  9. [9] J Nečas - J. Hlavaček, Mathematical theory of elastic and elasto-plastic bodies: an introduction, Elsevier, Amsterdam, 1981. Zbl0448.73009
  10. [10] G.S. Nguyen, Sur les matériaux standards généralisés, J. de Mécanique, 14 (1975), pp. 39-63. Zbl0308.73017MR416177
  11. [11] P. Suquet, Plasticité et homogeneisation, Thèse, Paris, 1882. 
  12. [12] A. Visintin, A model for hysteresis of distributed systems, Ann, Mat. Pura Appl., 131 (1982), pp. 203-231. Zbl0494.35052MR681564
  13. [13] A. Visintin, On the Preisach model for hysteresis, Nonlinear Analysis T.M.A., 9 (1984), pp. 977-996. Zbl0563.35007MR760191
  14. [14] A. Visintin, Evolution equations with hysteresis in the source, SIAM J. Math. Anal., 17 (1986), 1113-1138. Zbl0618.35053MR853520

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.