The membranal and flexural equations of thin elastic plates deduced exactly from the three-dimensional theory
Tóm tắt
The classical field and boundary equations governing the in-plane stretching and the transversal bending of a thin plate are obtained by means of an exact mathematical procedure consisting in integrating over the thickness the equilibrium equations for a three-dimensional cylindrical body, made of a homogeneous, linearly elastic, transversely isotropic material, and subject to suitable internal constraints.
Tài liệu tham khảo
Podio-Guidugli P.,An Exact Derivation of the Thin Plate Equation, to appear in J. Elasticity, 1989.
Podio-Guidugli P. andVirga E.G.,Transversely Isotropic Elasticity Tensors, Proc. Royal Soc. London,A411, pp. 85–93, 1987.
Gurtin M.E.,The Linear Theory of Elasticity, in Handbuch der Physik, Vol. VIa/2, C. Truesdell ed., Springer, Berlin, 1972.
Timoshenko S.P. andWoinowsky-Krieger S.,Theory of Plates and Shells, 23rd Printing, Int. Student Ed., McGraw-Hill, New York, 1982.