A new C0 higher-order layerwise finite element formulation for the analysis of laminated and sandwich plates

A new C0 higher-order layerwise finite element formulation for the analysis of laminated and sandwich plates
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DOI:
10.1016/j.compstruct.2015.04.034
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发表时间:
2015-11
影响因子:
6.3
通讯作者:
Shashank Pandey;S. Pradyumna
Shashank Pandey;S. Pradyumna
中科院分区:
工程技术1区
文献类型:
--
作者:
Shashank Pandey;S. Pradyumna

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本文提出了一种新的基于c0高阶有限元模型的层状板计算公式,用于层状复合材料和夹层板的静振动和自由振动分析。提出的分层理论是针对三层复合材料板,假设中层为高阶位移场,顶层和底层为一阶位移场。在层间界面处施加相容条件,以满足层间位移连续性。采用八节点等参单元对板进行建模。通过将作者的结果与现有的三维弹性、有限元和解析解进行比较,评估了所提出公式的线性静态和自由振动分析的准确性。本文表明,对于层合复合材料和夹层板的静态和自由振动分析,现有的有限元公式更为简单、直接和准确。
In this paper, a new layerwise plate formulation based on a C0higher-order finite element model is presented for static and free vibration analyses of laminated composite and sandwich plates. The proposed layerwise theory which is developed for a three layered composite plates, assumes higher-order displacement field for middle layer and first-order displacement field for top and bottom layers. Compatibility conditions are imposed at the layer interface to satisfy the interlaminar displacement continuity. An eight-noded isoparametric element is used to model the plate. The accuracy of the proposed formulation is assessed for linear static and free vibration analyses by comparing the authors’ results with available 3D elasticity, finite element and analytical solutions. It has been shown here that the present finite element formulation is much simpler, straightforward and accurate for static and free vibration analyses of laminated composite and sandwich plates.