Bending solution of high-order refined shear deformation theory for rectangular composite plates

Abstract

Abstract-Anew high-order refined shear deformation theory based on Reissner's mixed variational principle in conjunction with the state-space concept is used to determine the deflections and stresses for rectangular cross-ply composite plates. A zig-zag shaped function and Legendre polynomials are introduced to approximate the in-plane displacement distributions across the plate thickness. Numerical results are presented with different edge conditions, aspect ratios, lamination schemes and loadings. A comparison with the exact solutions obtained by Pagan0 and the results by Khdeir indicates that the present theory accurately estimates the in-plane responses.

Differential quadrature element method for static analysis of shear deformable cross-ply laminates

“…The relative thickness seems to bear only slight in#uences on the stresses, but the value of the central de#ection rises signi"cantly as the relative thickness increases from 0)01 to 0)20. In order to further verify the present DQEM results, the solutions for the central de#ection w and in-plane stress VV for the case of h/a"0)20 and u;v"a;b are compared with the published values given by Liew et al [33] using the global DQ method and those obtained by Liu et al [30] based on a high-order re"ned shear deformation theory, showing excellent agreement.…”

“…using the global DQ method with 17;17 grid points Solutions obtained by Liu et al [30] based on a high-order re"ned shear deformation theory Example 2. A simply supported three-layer cross-ply (03/903/03) rectangular laminate (a/b"3)0; h G "h/3, i"1, 2 and 3; Material II) is subjected to a patch load q over the rectangular area u;v as shown in Figure 5…”

A Review of Refined Shear Deformation Theories of Isotropic and Anisotropic Laminated Plates

“…Hence, a new class of discrete layer theories has been developed by superimposing a piecewise cubic varying displacement field over a linear displacement field. Such theories are developed by Whitney [230], Ren [313][314][315], Toledano and Murakami [359], Di Sciuva [360,361], Di Sciuva and Icardi [362], Bhaskar and Varadan [363], Savithri and Varadan [364][365][366], Reddy et al [367], Cho and Parmerter [368,369], Cho and Kim [370], Liu et al [371], Icardi [372], Lee et al [373], Lee et al [374], Lee and Cao [375], He and Zhang [376,377]. Moazzami and Sandhu [378] proposed a second order layerwise laminated plate theory.…”

“…[363], Savithri and Varadan[364][365][366], Reddy et al[367], Cho and Parmerter[368,369], Cho and Kim[370], Liu et al[371], Icardi[372], Lee et al[373], Lee et al[374], Lee and Cao[375], He and Zhang[376,377].Moazzami and Sandhu[378] proposed a second order layerwise laminated plate theory. Layerwise theories, using Lo et al theory, are developed for the analysis of laminated plates by Wu and Kuo[379],Wu and Hsu …”

Analysis of Thick Rectangular Plates with Symmetric Cross-ply Laminates Based on First-order Shear Deformation Theory

“…Detailed formulation on static and vibration analysis of shear-deformable symmetric crossply laminated plates given, for example, in Refs. [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]. In this article, a numerical method is developed for the static analysis of symmetric cross-ply laminated composite plates.…”