| Title:
|
On the solution of the displacement boundary-value problem for elastic-inelastic materials (English) |
| Author:
|
John, Oldřich |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
19 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
61-71 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The system of equations which describe the model with the so-called internal state variables in continuum mechanics is studied. A theorem asserting the existence and uniqueness of a solution of the displacement boundary-value problem is proved by combining the theory of monotone operators and the Banach contraction principle. () |
| MSC:
|
74A20 |
| MSC:
|
74C99 |
| idZBL:
|
Zbl 0286.73003 |
| idMR:
|
MR0347200 |
| DOI:
|
10.21136/AM.1974.103515 |
| . |
| Date available:
|
2008-05-20T17:58:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103515 |
| . |
| Reference:
|
[1] J. Kratochvíl O. W. Dillon: Thermodynamics of Elastic-Plastic Materials as a Theory with Internal State Variables.Journal of Applied Physics, Vol. 40, No. 8, 3207-3218, 1969. |
| Reference:
|
[2] J. Kratochvíl O. W. Dillon: Thermodynamics of Crystalline Elastic-Visco-Plastic Materials.Journal of Applied Physics, Vol. 41, No. 4, 1470-1479, 1970. 10.1063/1.1659058 |
| Reference:
|
[3] J. Kratochvíl J. Nečas: On the Solution of the Traction Boundary Vaiue Problem for Elastic-Inelastic Materials.CMUC 14 (4), 1973, 755-760. MR 0337100 |
| Reference:
|
[4] I. Hlaváček J. Nečas: On Inequalities of Korn's Type.Part I, II. Archive for Rational Mechanics and Analysis, Vol. 36, No. 4, 1970. |
| Reference:
|
[5] S. Fučík J. Nečas V. Souček: Introduction to the Variational Calculus.(Czech.) Lecture Notes of Prague University, 1972. |
| Reference:
|
[6] Вайнберг M. M.: Вариационный метод и метод монотонных операторов.Наука, Москва 1972. Zbl 1156.34335 |
| . |
