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Bock, Igor ; Hlaváček, Ivan ; Lovíšek, Ján
On the solution of boundary value problems for sandwich plates. (English). Aplikace matematiky, vol. 31 (1986), issue 4, pp. 282-292
MSC: 35A15, 35J55, 73K10, 73K20, 74B99, 74E30, 74G30, 74H25, 74H99, 74K20, 74S30 | MR 0854322 | Zbl 0601.73018 | DOI: 10.21136/AM.1986.104207
Keywords:
equilibrium problem; elastic sandwich plates; inequalities of Korn's type; general class of elliptic systems; existence
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.
References:
[1] I. Hlaváček J. Nečas: On Inequalities of Korn's Type. Arch. Ratl. Mech. Anal., 36, (1970), 305-334. DOI 10.1007/BF00249518 | MR 0252844
[2] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction. Elsevier, Amsterdam, 1981. MR 0600655
[3] J. P. Aubin: Applied functional analysis. John Wiley-Sons, New York 1979. MR 0549483 | Zbl 0424.46001
[4] K. Stamm H. Witte: Sandwichkonstruktionen - Berechnung, Fertigung, Ausführung. Springer-Verlag, Wien-New York 1974.
[5] R. M. Christensen: Mechanics of composite materials. John Wiley, New York, 1979.
[6] Mechanika elementov konstrukcij. Tom 1, 2, 3, Kijev, Nauka dumka, 1983.
[7] C. A. Ambartsumjan: Общая теория анизотропных оболочек. Nauka, Moskva 1974.
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