| Title:
|
On the solution of boundary value problems for sandwich plates (English) |
| Author:
|
Bock, Igor |
| Author:
|
Hlaváček, Ivan |
| Author:
|
Lovíšek, Ján |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
282-292 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
A mathematical model of the equilibrium problem of elastic sandwich plates is established. Using the theory of inequalities of Korn's type for a general class of elliptic systems the existence and uniqueness of a variational solution is proved. (English) |
| Keyword:
|
equilibrium problem |
| Keyword:
|
elastic sandwich plates |
| Keyword:
|
inequalities of Korn's type |
| Keyword:
|
general class of elliptic systems |
| Keyword:
|
existence |
| MSC:
|
35A15 |
| MSC:
|
35J55 |
| MSC:
|
73K10 |
| MSC:
|
73K20 |
| MSC:
|
74B99 |
| MSC:
|
74E30 |
| MSC:
|
74G30 |
| MSC:
|
74H25 |
| MSC:
|
74H99 |
| MSC:
|
74K20 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0601.73018 |
| idMR:
|
MR0854322 |
| DOI:
|
10.21136/AM.1986.104207 |
| . |
| Date available:
|
2008-05-20T18:30:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104207 |
| . |
| Reference:
|
[1] I. Hlaváček J. Nečas: On Inequalities of Korn's Type.Arch. Ratl. Mech. Anal., 36, (1970), 305-334. MR 0252844, 10.1007/BF00249518 |
| Reference:
|
[2] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction.Elsevier, Amsterdam, 1981. MR 0600655 |
| Reference:
|
[3] J. P. Aubin: Applied functional analysis.John Wiley-Sons, New York 1979. Zbl 0424.46001, MR 0549483 |
| Reference:
|
[4] K. Stamm H. Witte: Sandwichkonstruktionen - Berechnung, Fertigung, Ausführung.Springer-Verlag, Wien-New York 1974. |
| Reference:
|
[5] R. M. Christensen: Mechanics of composite materials.John Wiley, New York, 1979. |
| Reference:
|
[6] : Mechanika elementov konstrukcij.Tom 1, 2, 3, Kijev, Nauka dumka, 1983. |
| Reference:
|
[7] C. A. Ambartsumjan: Общая теория анизотропных оболочек.Nauka, Moskva 1974. |
| . |
