Post‐buckling analysis of imperfect laminates using finite strips based on a higher‐order plate theory

Zou, Guang Ping; Lam, Eddie Siu-Shu

doi:10.1002/nme.644

Cited by 11 publications

(2 citation statements)

References 23 publications

(29 reference statements)

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“…It is well accepted that these structures possess unavoidable initial geometrical imperfections that may be globally or locally distributed and may substantially affect the post-buckling behavior of plates. Quite a few post-buckling analyses of imperfect composite plates have been conducted, notably those by Yamaki (1959), Hui (1986), Librescu and Souza (1993), Dawe et al (1995), Librescu et al (1995), Shen and Williams (1997), Shen (1998Shen ( , 1999Shen ( , 2000Shen ( , 2001, Yang and Zhang (2000), Featherston (2001), Yang et al (2001), Zou and Qiao (2002), Zou and Lam (2003) and Girish and Ramachandra (2005). However, most of these studies are based on the simplified assumption that the initial geometrical imperfection has a similar form to the deformed shape of the plate, and the investigations dealing with general geometrical imperfections are limited in number.…”

Section: Introductionmentioning

confidence: 97%

Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates

Yang

Liew

Kitipornchai

2006

International Journal of Solids and Structures

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This paper investigates the sensitivity of the post-buckling behavior of shear deformable functionally graded plates to initial geometrical imperfections in general modes. A generic imperfection function that takes the form of the product of trigonometric and hyperbolic functions is used to model various possible initial geometrical imperfections such as sine type, local type, and global type imperfections. The formulations are based on ReddyÕs higher-order shear deformation plate theory and von Karman-type geometric nonlinearity. A semi-analytical method that makes use of the onedimensional differential quadrature method, the Galerkin technique, and an iteration process is used to obtain the post-buckling equilibrium paths of plates with various boundary conditions that are subjected to edge compressive loading together with a uniform temperature change. Special attention is given to the effects of imperfection parameters, which include half-wave number, amplitude, and location, on the post-buckling response of plates. Numerical results presented in graphical form for zirconia/aluminum (ZrO 2 /Al) graded plates reveal that the post-buckling behavior is very sensitive to the L2-mode local type imperfection. The influences of the volume fraction index, edge compression, temperature change, boundary condition, side-to-thickness ratio and plate aspect ratio are also discussed.

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Section: Introductionmentioning

confidence: 97%

Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates

Yang

Liew

Kitipornchai

2006

International Journal of Solids and Structures

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“…This implies that even a very small thermo-electro-mechanical loading will induce both bending moment and deflection, indicating that the bifurcation-type buckling is no longer possible. In such a case, the nonlinear thermo-electromechanical postbuckling path can be traced by the modified Newton-Raphson iterative procedure [49,50]. For a given dimensionless axial load P, let d k denote the approximate solution at the kth iteration, the corresponding correction Dd k can be obtained by…”

Section: Solution Methodologymentioning

confidence: 99%

Thermo-electro-mechanical postbuckling of piezoelectric FG-CNTRC beams with geometric imperfections

Kitipornchai

Yang

2016

Smart Mater. Struct.

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This paper presents thermo-electro-mechanical postbuckling analysis of geometrically imperfect functionally graded carbon nanotube-reinforced composite (FG-CNTRC) hybrid beams that are integrated with surface-bonded piezoelectric actuators. The material properties of FG-CNTRCs are assumed to be temperature-dependent and graded in the thickness direction. By using a generic imperfection function, various possible imperfections with different shapes and locations in the beam are considered. The theoretical formulations are based on the first-order shear deformation beam theory with von-Kármán nonlinearity. A differential quadrature approximation based iteration process is employed to obtain the postbuckling equilibrium path of piezoelectric FG-CNTRC hybrid beams under thermo-electro-mechanical loading. Parametric studies are conducted to examine the effect of geometric imperfection, distribution pattern and volume fraction of carbon nanotubes, temperature rise, actuator voltage, beam geometry and boundary conditions on the thermo-electro-mechanical postbuckling behaviour. The results show that the thermo-electro-mechanical postbuckling is considerably affected by the imperfection mode, half-wave number, location and amplitude, as well as the temperature rise and boundary conditions. The effect of applied actuator voltage is much less pronounced but tends to be relatively more noticeable as the slenderness ratio increases.

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An efficient finite strip procedure for initial post-buckling analysis of thin-walled members

Fang

et al. 2019

Arch Appl Mech

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Post‐buckling analysis of imperfect laminates using finite strips based on a higher‐order plate theory

Cited by 11 publications

References 23 publications

Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates

Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates

Thermo-electro-mechanical postbuckling of piezoelectric FG-CNTRC beams with geometric imperfections

An efficient finite strip procedure for initial post-buckling analysis of thin-walled members

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