| Title:
|
Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and $H^{1}$ regularity (English) |
| Author:
|
Bensoussan, A. |
| Author:
|
Frehse, J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
285-304 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove $H^{1}_{\operatorname{loc}}$-regularity for the stresses in the Prandtl-Reuss-law. The proof runs via uniform estimates for the Norton-Hoff-approximation. (English) |
| Keyword:
|
elasto-plasticity |
| Keyword:
|
regularity |
| Keyword:
|
variational inequalities |
| MSC:
|
35A15 |
| MSC:
|
35D10 |
| MSC:
|
35J45 |
| MSC:
|
35J50 |
| MSC:
|
35K65 |
| MSC:
|
35K85 |
| MSC:
|
35Q72 |
| MSC:
|
73E50 |
| idZBL:
|
Zbl 0851.35079 |
| idMR:
|
MR1399003 |
| . |
| Date available:
|
2009-01-08T18:23:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118833 |
| . |
| Reference:
|
[1] Bensoussan A., Frehse J.: Asymptotic Behaviour of Norton-Hoff's Law in Plasticity theory and $H^{1}$ Regularity.Collection: Boundary Value Problems for Partial Differential Equations and Applications, RMA Res. Notes Appl. Math. (Vol. in honor of E. Magenes) Masson Paris 3-25 29 (1993). MR 1260435 |
| Reference:
|
[2] Duvaut G., Lions J.L.: Inequalities in Mechanics and Physics.Springer-Verlag Berlin (1976). Zbl 0331.35002, MR 0521262 |
| Reference:
|
[3] Lions J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires.Dunod, Gauthier-Villars Paris (1969). Zbl 0189.40603, MR 0259693 |
| Reference:
|
[4] Seregin G.A.: Differentiabilty properties of the stress tensor in perfect elastic-plastic theory.Differentsial'nye Uravneniya 23 (1987), 1981-1991 English translation in Differential Equations 23 (1987), 1349-1358. |
| Reference:
|
[5] Seregin G.A.: Differentiability of solutions of certain variational inequalities describing the quasi-static equilibrium of an elastic-plastic body.Pomi, Preprints E-1-92 Steklov Mathematical Institute Sankt Petersburg, 1992. |
| Reference:
|
[6] Seregin G.A.: Differentiability properties of the stress-tensor in perfect elastic-plastic theory.Preprint UTM321-Settembre Universita degli Studi di Trento, 1990. |
| Reference:
|
[7] Le Tallec P.: Numerical Analysis of Viscoelastic problems.Masson Paris (1990). Zbl 0718.73091, MR 1071383 |
| Reference:
|
[8] Temam R.: Mathematical Problems in Plasticity.Gauthier Villars Paris (1985). MR 0711964 |
| Reference:
|
[9] Temam R.: A Generalized Norton-Hoff-Model and the Prandtl-Reuss-Law of Plasticity.Arch. Rat. Mech. Anal. 95 (1986), 137-181. Zbl 0615.73035, MR 0850094 |
| . |
