Analysis of isotropic and composite laminated plates and shells using a differential quadrature hierarchical finite element method
Analysis of isotropic and composite laminated plates and shells using a differential quadrature hierarchical finite element method
复制标题
使用微分求积分层有限元法分析各向同性和复合材料层合板壳
DOI：
10.1016/j.compstruct.2018.08.095
复制
发表时间：
2018-12
影响因子：
6.3
通讯作者：
Yang Wu
中科院分区：
文献类型：
--
作者：
Yufeng Xing;Bo Liu;Yang Wu
采用改进的微分正交分层有限元法（DQHFEM）的高阶基，建立了ap型弯曲复合材料层合壳单元。壳体的理论模型是基于分层理论，每层都有线性膨胀。采用非均匀有理b样条的CAD技术建立了精确的几何形状。从而消除了有限元几何离散误差。针对复杂模型中存在不同参数化元素耦合困难的问题，提出了一种基于弧长坐标插值的耦合方法。尽管基于分层理论的计算效率不如基于等效单层理论的计算速度快，但它产生的结果与3D理论一样准确，并且使用的自由度更少，输入数据也比3D模型少。此外，由于p-版本有限元的高收敛率和几何模型的精确表示，在相同的自由度下，该单元有望产生比传统版本的平壳单元更精确的结果。给出了数值实例来说明本单元的准确性和通用性。
Ap-version curved composite laminated shell element has been developed using the modified high order bases of a differential quadrature hierarchical finite element method (DQHFEM). The theoretical model of the shell is based on a layerwise theory with linear expansion in each layer. Exact geometry is established using the CAD technique of Non-Uniform Rational B-splines. As a result, the FEM discretization errors of geometry are eliminated. To solve the coupling difficulty of elements with different parameterization that commonly exists in complicated models, a novel method based on interpolation on arc length coordinates is proposed in this work. Even though the computational efficiency based on a layerwise theory is not as fast as those based on the equivalent single-layer theory, it produces as accurate results as the 3D theory and uses less DOFs as well as less input data than the 3D model. Additionally, because of the high convergence rate of thep-version FEM and the exact representation of the geometric model, the present elements are expected to produce more accurate results than the conventionalh-version flat shell elements with the same number of DOFs. Numerical examples are provided to illustrate the accuracy as well as versatility of the present elements.
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影响因子：
6.3
作者：
E. Viola;Francesco Tornabene;N. Fantuzzi
通讯作者：
E. Viola;Francesco Tornabene;N. Fantuzzi
DOI：
10.1016/s0045-7825(03)00346-3
发表时间：
2003-07
影响因子：
7.2
作者：
N. Moës;Mathieu Cloirec;P. Cartraud;J. Remacle
通讯作者：
N. Moës;Mathieu Cloirec;P. Cartraud;J. Remacle
影响因子：
2.8
作者：
A. Ferreira
通讯作者：
A. Ferreira
影响因子：
5
作者：
通讯作者：
--
DOI：
10.1016/j.cma.2004.01.019
发表时间：
2004-06
影响因子：
7.2
作者：
H. Roh;M. Cho
通讯作者：
H. Roh;M. Cho