On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function

Bernard Brighi; Mahmoud Bousselsal

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 94, page 25-45
  • ISSN: 0041-8994

How to cite

top

Brighi, Bernard, and Bousselsal, Mahmoud. "On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function." Rendiconti del Seminario Matematico della Università di Padova 94 (1995): 25-45. <http://eudml.org/doc/108375>.

@article{Brighi1995,
author = {Brighi, Bernard, Bousselsal, Mahmoud},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {second Piola-Kirchhoff stress tensor; Saint Venant-Kirchhoff material},
language = {eng},
pages = {25-45},
publisher = {Seminario Matematico of the University of Padua},
title = {On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function},
url = {http://eudml.org/doc/108375},
volume = {94},
year = {1995},
}

TY - JOUR
AU - Brighi, Bernard
AU - Bousselsal, Mahmoud
TI - On the rank-one-convexity domain of the Saint Venant-Kirchhoff stored energy function
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 94
SP - 25
EP - 45
LA - eng
KW - second Piola-Kirchhoff stress tensor; Saint Venant-Kirchhoff material
UR - http://eudml.org/doc/108375
ER -

References

top
  1. [A] J.J. Alibert, Variétés splines en élasticité non linéaire, Thesis, University of Toulouse (1990). 
  2. [B] J.M. Ball, Convexity conditions and existence theorems in non linear elasticity, Arch. Rat. Mech. Analysis, 63 (1977), pp. 337-403. Zbl0368.73040MR475169
  3. [Br] B. Brighi, Sur quelques problèmes de Calcul des Variations et l'approximation de leur fonctionnelle relaé, Thesis, University of Metz (1991). 
  4. [Ci 1] P.G. Ciarlet, Mathematical Elasticity, Volume 1: Three-Dimensional Elasticity, North-Holland (1988). Zbl0648.73014MR936420
  5. [Ci 2] P.G. Ciarlet, Elasticité tridimensionnelle, Masson, Paris (1986). Zbl0572.73027MR819990
  6. [D] B. Dacorogna, Direct Methods in the Calculus of Variations, Applied Math. Sciences, # 78 Springer Verlag (1989). Zbl0703.49001MR990890
  7. [Ra] A. Raoult, Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material, Aplikace Matematiky, 6 (1986), pp. 417-419. Zbl0608.73023MR870478

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.