Analysis of functionally graded sandwich and laminated shells using a layerwise theory and a differential quadrature finite element method

被引：111

作者：

Liu, Bo ^{[1
,2
]}

Ferreira, A. J. M. ^{[2
]}

Xing, Y. F. ^{[1
]}

Neves, A. M. A. ^{[2
]}

机构：

[1] Beihang Univ BUAA, Solid Mech Res Ctr, Beijing 100191, Peoples R China

[2] Univ Porto, Fac Engn, Dept Engn Mecan, Rua Dr Roberto Frias, P-4200465 Oporto, Portugal

来源：

COMPOSITE STRUCTURES | 2016年 / 136卷

基金：

中国国家自然科学基金;

关键词：

Functionally graded sandwich shells; Laminated composite shells; Layerwise theory; Differential quadrature finite element method; Vibration; Bending; DATA APPROXIMATION SCHEME; SHEAR-DEFORMATION-THEORY; FREE-VIBRATION ANALYSIS; TRANSVERSE-SHEAR; PLATES; MULTIQUADRICS; ZIGZAG;

D O I：

10.1016/j.compstruct.2015.10.044

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A layerwise shear deformation theory for functionally graded (FGM) sandwich shells and laminated composite shells is discretized using a differential quadrature finite element method (DQFEM). The DQFEM is a weak-form differential quadrature method that can provide highly accurate results using only a few sampling points. The layerwise theory proposed by Ferreira is based on an expansion of Mindlin's first-order shear deformation theory in each layer. The combination of the DQFEM with Ferreira's layerwise theory allows a very accurate prediction of the field variables. Effective material properties of the FGM are estimated according to both Voigt's rule of mixture (ROM) and Mori-Tanaka (MT) scheme. The DQFEM solutions were compared with various models in literature and especially showed very good agreements with results based on layerwise theories. The analysis of FGM sandwich and laminated composite shells based on Ferreira's layerwise theory indicates that the DQFEM is an effective method for high accuracy analysis of large-scale problems. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：546 / 553

页数：8

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