Abstract
An asymptotic theory for buckling analysis of multilayered anisotropic plates is developed within the framework of three-dimensional elasticity. The multilayered plate is regarded as an anisotropic heterogeneous plate in which the material properties vary through the thickness so that there is no need to consider the layers individually nor to treat the interfacial continuity conditions in particular. By means of asymptotic expansions and successive integration the classical laminated plate theory is derived as a first-order approximation to the three-dimensional theory. Improvements to the critical load and to the mode shape of buckling can be determined in a systematic way by considering the solvability conditions of the higher-order equations. Various thickness effects of multilayered anisotropic plates are accounted for in a natural and consistent manner. The theory is illustrated by applying it to buckling analyses of laminated anisotropic plates in cylindrical bending and under biaxial loads.
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