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An analysis of the local buckling of composite laminated plates and folded plate assemblies subjected to arbitrary loading is presented. The analysis uses the spline finite strip method, which utilises B3-spline functions for the longitudinal variation of buckling displacements, and an interpolation of Hermitian polynomials for the buckling displacements in the transverse direction. While the spline finite strip method is fairly well-known in buckling analysis, its direct application to the local buckling of composite laminates has been more limited. The method is programmed to study the local buckling of laminated flat plates and L-sections. Examples of the accuracy of the method compared with independent studies, and the influence of increasing the number of lengthwise section knots, are presented for plates of finite length that are subjected to compression, bending and shear.

In the present study, nonlinear dynamic analysis of an embedded functionally graded sandwich nanobeam (FGSNB) integrated with magnetostrictive layers is investigated. The core layer of FGSNB, which is subjected to a time-dependent transverse load, is made of a two-constituent functionally graded material that the material properties of the functionally graded nanobeam are temperature dependent and assumed to vary in the thickness direction. The modified couple stress theory is taken into account so as to consider the small-scale effects. The surrounding elastic medium is simulated as visco-Pasternak foundation to study the effects of damping, shear and elastic effects of surrounded medium. Using energy method and Hamilton's principle, the governing motion equations and related boundary conditions are obtained for different beam theories. Finally, the differential quadrature as well as Newmark-β methods are employed to obtain the nonlinear dynamic response of the functionally graded magnetostrictive sandwich nanobeam (FGMSNB), and therefore deflection-response curves are plotted to study the effects of small-scale parameter, surrounding elastic medium, magnetostrictive layers, geometrical parameters, material compositions of core layer, environment temperature and boundary conditions and nonlinear terms graphically. The results indicate that the magnetostrictive layers play a key role on the dynamic behavior of the FGMSNB. Moreover, comparing results with those obtained in Ghorbanpour Arani and Abdollahian (Mech Adv Mater Struct, 2017.