Analysis of functionally graded sandwich and laminated shells using a layerwise theory and a differential quadrature finite element method
Analysis of functionally graded sandwich and laminated shells using a layerwise theory and a differential quadrature finite element method
复制标题
使用分层理论和微分求积有限元法分析功能梯度夹层和层合壳
DOI：
10.1016/j.compstruct.2015.10.044
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发表时间：
2016-02-01
影响因子：
6.3
通讯作者：
Neves, A. M. A.
中科院分区：
文献类型：
--
作者：
Liu, Bo;Ferreira, A. J. M.;Neves, A. M. A.
采用微分求积有限元法对功能梯度夹层壳和复合材料层合壳的分层剪切变形理论进行了离散。DQFEM是一种弱形式的微分求积方法，仅使用少量采样点就可以提供高精度的结果。Ferreira提出的分层理论是基于Mindlin的一阶剪切变形理论在每一层中的扩展。结合DQFEM与Ferreira的分层理论，可以非常准确地预测场变量。根据Voigt混合规则（ROM）和Mori-Tanaka（MT）方案估计FGM的有效材料性质。将DQFEM解与文献中的各种模型进行了比较，特别是与基于分层理论的结果显示出非常好的一致性。基于Ferreira分层理论的功能梯度材料夹层壳和层合壳的分析表明，DQFEM是一种高精度分析大规模问题的有效方法。(C)2015爱思唯尔有限公司版权所有。
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.