# On the solution of boundary value problems for sandwich plates

Igor Bock; Ivan Hlaváček; Ján Lovíšek

Aplikace matematiky (1986)

- Volume: 31, Issue: 4, page 282-292
- ISSN: 0862-7940

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topBock, Igor, Hlaváček, Ivan, and Lovíšek, Ján. "On the solution of boundary value problems for sandwich plates." Aplikace matematiky 31.4 (1986): 282-292. <http://eudml.org/doc/15455>.

@article{Bock1986,

abstract = {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.},

author = {Bock, Igor, Hlaváček, Ivan, Lovíšek, Ján},

journal = {Aplikace matematiky},

keywords = {equilibrium problem; elastic sandwich plates; inequalities of Korn's type; general class of elliptic systems; existence; equilibrium problem; elastic sandwich plates; inequalities of Korn's type; general class of elliptic systems; existence},

language = {eng},

number = {4},

pages = {282-292},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the solution of boundary value problems for sandwich plates},

url = {http://eudml.org/doc/15455},

volume = {31},

year = {1986},

}

TY - JOUR

AU - Bock, Igor

AU - Hlaváček, Ivan

AU - Lovíšek, Ján

TI - On the solution of boundary value problems for sandwich plates

JO - Aplikace matematiky

PY - 1986

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 31

IS - 4

SP - 282

EP - 292

AB - 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.

LA - eng

KW - equilibrium problem; elastic sandwich plates; inequalities of Korn's type; general class of elliptic systems; existence; equilibrium problem; elastic sandwich plates; inequalities of Korn's type; general class of elliptic systems; existence

UR - http://eudml.org/doc/15455

ER -

## References

top- I. Hlaváček J. Nečas, 10.1007/BF00249518, Arch. Ratl. Mech. Anal., 36, (1970), 305-334. (1970) MR0252844DOI10.1007/BF00249518
- J. Nečas I. Hlaváček, Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. (1981) MR0600655
- J. P. Aubin, Applied functional analysis, John Wiley-Sons, New York 1979. (1979) Zbl0424.46001MR0549483
- K. Stamm H. Witte, Sandwichkonstruktionen - Berechnung, Fertigung, Ausführung, Springer-Verlag, Wien-New York 1974. (1974)
- R. M. Christensen, Mechanics of composite materials, John Wiley, New York, 1979. (1979)
- Mechanika elementov konstrukcij, Tom 1, 2, 3, Kijev, Nauka dumka, 1983. (1983)
- C. A. Ambartsumjan, Общая теория анизотропных оболочек, Nauka, Moskva 1974. (1974)

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