| Title:
|
Evolutionary variational inequalities and applications in plasticity (English) |
| Author:
|
Nečas, Jindřich |
| Author:
|
Trávníček, Luděk |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
241-256 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
An abstract theory of evolutionary variational inequalities and its applications to the traction boundary value problems of elastoplasticity are studied, using the penalty method to prove the existence of a solution. (English) |
| Keyword:
|
evolutionary variational inequalities |
| Keyword:
|
flow theory of plasticity |
| Keyword:
|
penalty method |
| MSC:
|
49A29 |
| MSC:
|
49J27 |
| MSC:
|
49J40 |
| MSC:
|
49M30 |
| MSC:
|
73E99 |
| MSC:
|
74C99 |
| idZBL:
|
Zbl 0453.49009 |
| idMR:
|
MR0583585 |
| DOI:
|
10.21136/AM.1980.103858 |
| . |
| Date available:
|
2008-05-20T18:14:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103858 |
| . |
| Reference:
|
[1] G. Duvaut J. L. Lions: Les inéquations en méchanique et en physique.Dunod, Paris 1972. MR 0464857 |
| Reference:
|
[2] Q S. Nguyen: Materiaux élastoplastiques écrouissables.Arch. of Mech. 25, 1973, p. 695. |
| Reference:
|
[3] K. Gröger: Quasi-static and dynamic behaviour of elastic-plastic materials.To appear. |
| Reference:
|
[4] J. Kratochvíl J. Nečas: On the solution of the traction boundary-value problem for elastic-inelastic materials.CMUC 14 (4), 1973, 755-760. MR 0337100 |
| Reference:
|
[5] I. Hlaváček J. Nečas: On inequalities of Korn's type.Part I, II. Archive for Rat. Mech. and Anal., Vol. 36, No. 4, 1970, 305-334. MR 0252844, 10.1007/BF00249518 |
| Reference:
|
[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584 |
| Reference:
|
[7] S. Fučík J. Nečas V. Souček: Introduction to variational calculus.(Czech.) Lecture Notes of Prague University, 1972. |
| Reference:
|
[8] K. Washizu: Variational methods in elasticity and plasticity.Pergamon Press, 1968. Zbl 0164.26001, MR 0391679 |
| Reference:
|
[9] J. Nečas: On the formulation of the traction problem for the flow theory of plasticity.Apl. mat. 18 (2), 1973, 119-127. MR 0314342 |
| Reference:
|
[10] I. Hlaváček J. Nečas: Introduction to the mathematical theory of elastic and elastic-plastic bodies.(Czech.), Praha (to appear). |
| Reference:
|
[11] N. Bourbaki: Integration.Paris 1965. Zbl 0136.03404 |
| . |
