TAILIEUCHUNG - Nonlinear analysis of buckling and postbuckling for axially compressed functionally graded cylindrical panels with the poisson’s ratio varying smoothly along the thickness

. In this paper an approximate analytical solution to analyze the nonlinear buckling and postbuckling behavior of imperfect functionally graded panels with the Poisson’s ratio also varying smoothly along the thickness is investigated. Based on the classical shell theory and von Karman’s assumption of kinematic nonlinearity and applying Galerkin procedure, the equations for finding critical loads and load-deflection curves of cylindrical panel subjected to axial compressive load with two types boundary conditions, are given. | Vietnam Journal of Mechanics, VAST, Vol. 34, No. 1 (2012), pp. 27 – 44 NONLINEAR ANALYSIS OF BUCKLING AND POSTBUCKLING FOR AXIALLY COMPRESSED FUNCTIONALLY GRADED CYLINDRICAL PANELS WITH THE POISSON’S RATIO VARYING SMOOTHLY ALONG THE THICKNESS Dao Van Dung, Le Kha Hoa Hanoi University of Science, VNU Abstract. In this paper an approximate analytical solution to analyze the nonlinear buckling and postbuckling behavior of imperfect functionally graded panels with the Poisson’s ratio also varying smoothly along the thickness is investigated. Based on the classical shell theory and von Karman’s assumption of kinematic nonlinearity and applying Galerkin procedure, the equations for finding critical loads and load-deflection curves of cylindrical panel subjected to axial compressive load with two types boundary conditions, are given. Especially, the stiffness coefficients are analyzed in explicit form. Numerical results show various effects of the inhomogeneous parameter, dimensional parameter, boundary conditions on nonlinear stability of panel. An accuracy of present theoretical results is verified by the previous well-known results. Keywords: Nonlinear, Postbuckling, Functionally graded materials, Cylindrical panel. 1. INTRODUCTION Functionally graded structures such as cylindrical panels and cylindrical shells in recent years play the important part in the modern industries [1]. They are lightweight structures and are able to withstand high-temperature environments while maintaining their structural integrity. Therefore, researches on stability problems of functionally graded materials (FGMs) structures have received considerable attention. Some investigations on postbuckling of FGM cylindrical panels and cylindrical shells subjected to axial loading or pressure loading in thermal environments are presented by Shen and Noda [2, 3]. They employed singular perturbation techniques to determine the buckling loads and postbuckling equilibrium paths. Chang and Librescu .

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