Buckling and postbuckling analyses of laminated anisotropic structures

Abstract

A review is given of recent advances in two aspects of the numerical simulation of the buckling and postbuckling responses of composite structures. The first aspect is exploiting non-traditional symmetries exhibited by composite structures: and strategies for reducing the size of the model and the cost of the buckling and postbuckling analyses in the presence of symmetry-breaking conditions (e.g. asymmetry of the material. geometry, and/or loading). The second aspect pertains to the prediction of onset of local delamination in the postbuckling range and accurate determination of transverse shear stresses in the structure. The accuracy and effectiveness of the strategies developed are demonstrated by means of a numerical example.

Accurate Multilayered Shell Buckling Analysis via the Implicit-Mesh Discontinuous Galerkin Method

“…One approach to evaluating the buckling loads of a thin structure and thus the corresponding change in its geometry is to solve the equations of finite-strain elasticity, whereby the load-deformation response of the structure is generally computed via an iterativeincremental non-linear analysis, see e.g. [1][2][3][4][5]. Alternatively, buckling loads may be evaluated using the so-called bifurcation theory, which, given an initial equilibrium configuration, is based on seeking at least one additional distinct equilibrium solution in the neighborhood of the initial equilibrium state [6].…”

Investigation of buckling characteristics of cracked variable stiffness composite plates by an eXtended Ritz approach

“…With this background in mind, the Ritz method has proven to be a successful and accurate approach for the analysis of composite plates with high computational efficiency [3][4][5][6][7]. Ritz solutions for linear static, free vibrations, buckling and postbuckling analysis of straight fibers composite plates, frequently implementing the classical laminated plate theory (CLPT) (e.g.…”

Post-buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh–Ritz method

“…Extensive research has been carried out in the past on buckling and post-buckling behavior of composite plates as reported in the reviews by Leissa [2], Chia [3] and Noor et al [4] and in the excellent book edited by Turvey and Marshall [5] where the relevant literature is examined up to the publication date. This literature survey shows that Galerkin solutions, the Rayleigh-Ritz Method, the finite strip method and finite element method have been widely used.…”