Equations of the Fibre Composite Plates
The paper is concerned with elastic fibre-composite plates. For the fibre composite the concept of two-phase medium presented in the works of Holnicki-Szulc was used. For the plate the hypothesis of Kirchhoff-Love is applied. The displacement equations of the plates loaded in-plane and transversely are developed, in which the coupling between the "disk state" and the "plate state" can be observed. The bending of the fibre composite plate is presented in more detail.
References
С.А.АМБАРЦУМЯН, Теория анизотропных оболочек, Изд. Физ. Мат. Лит., Москща 1961.
B.S.BENJAMIN, Structural design with plastics, Van Nostrand Reinhold Cornp., New York 1982,
H.L.COX, The general principles governing the stress analysis of composites, Proc. Conf. in: Fibre Reinforced Materials: Design and Engineering Applications, 2, 9-13, London 1977.
R.CUPISZ and ST.OCHELSKI, Creep of anisotropic polymer composites under plane stress non-stationary loading conditions [in Polish], Rozpr. Inżyn., 38, 1, 57-72, 1990.
Я.М.ГРИГОРЕНКО, А.Т.ВАСИЛЕНКО, Н.Д.ПАНКРАТОВА, Статика акизотропных толстостенных оболочек, изд. Киев 1985.
Z.HASHIN, B.W.R.OSEN, The elastic modulus of fibre-reinforced materials, Trans. ASME, J.Appl. Mech., 31, 2, 225-232, 1964.
R.HILL, Elastic properties of reinforced solids. Some theoretical principles, J. Mech. Psych. Solids, 12, 199-212, 1964.
J.HOLNICKI-SZULC, Problems of prestressing in two-phase media [in Polish], Mech. Teoret. i Stos. 16, 1, 41-55, 1978.
J.HOLNICKI-SZULC, Problems of elastic distortions in multielement structures. Analysis, identification and control [in Polish], Prace IPPT, 27, Warszawa 1980.
J.HOLNICKI-SZULC, Distortions in structural systems. Analysis, control, modelling [in Polish]; PWN, Warszawa-Poznań, 1990.
Z.KĄCZKOWSKI, Plates. Statical calculations [in Polish], Arkady, Warszawa 1968.
J.KOŁODZIEJ, Effective thermal conductivity of fibrous composities under imperfect thermal contact between the components [in Polish], Rozpr. Inżyn., 38, 1, 21-38, 1990.
В.И.КОРОЛЕВ, Слоистые анизотропные пластинки и оболочки из армированных пластмасс, Изд. Машиностроение, Москва 1965.
M.MARKS, Composite elements of minimum deformability reinforced by two families of fibres [in Polish], Rozpr. Inżyn., 36, 3, 541-562, 1988.
J.MUCHA, A proposal of computation of deflection of two-way reinforced concrete slabs exposed to variable short-time loads [in Polish], Arch. Inż, Ląd., 34, 3, 359-385, 1988.
ST.OCHELSKI, Dynamic strength of polymer composites [in Polish], Rozpr. Inżyn., 38, 1, 73-92, 1990.
M.OLEJNICZAK, A problem of distortions in a two-phase viscoelastics disc, [in Polish], IX Konf, "Comp. Methods in Mechanics", 2, 779-785, Rytro-Kraków 1989.
M.OLEJNICZAK, Analysis of one- and two-phase viscoelastic disks, taking into account prestressing, Ph.D.-thesis, Politechnika Poznańska 1990.
M.OLEJNICZAK, The influence of fibrous phase on stress redistribution in the viscoelastic disk, X Polish Conf. "Comp. Methods in Mechanics", 2, 575-582, Świnoujście-Szczecin, 1991.
A.J.M.SPENCER, Deformations of fibre reinforced materials, Clarendon Press, Oxford 1972.
Z.WIĘCKOWSKI, Finite element method in modelling of effective behaviour of the elastic-plastic fibrous conposite, X Polish Conf. "Comp. Methods in Mechanics" 2, 733-740, Świnoujście-Szczecin 1991.