Static Analysis of Sandwich Plates using ES-MITC3 Elements based on the Third-order Shear Deformation Layerwise Theory

T. Chau-Dinh, Loi Dang-Huu, Jin-Gyun Kim
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Abstract

In this paper, a 3-node triangular plate element is developed for static analysis of sandwich plates. The C0-plate element attenuates the shear-locking phenomenon by approximating the transverse shear strains according to the mixed interpolation of tensorial components technique (MITC3). The constant strain fields within each MITC3 plate element are improved by using the edge-based smoothed approach (ES), in which the strain fields are averaged on domains of two adjacent elements. Based on the layerwise theory with the displacement fields for each layer described by the third-order shear deformation theory (TSDT), the formulation of the ES-MITC3 plate element is derived for the static analysis of sandwich plates. The accuracy and efficiency of the proposed approach are verified through some benchmark sandwich plates subjected to sinusoidal or uniform distributed loads.
基于三阶剪切变形分层理论的ES-MITC3单元夹芯板静力分析
本文建立了用于夹层板静力分析的三节点三角板单元。c0 -板单元根据张量分量混合插值技术(MITC3)近似横向剪切应变,从而减弱剪切锁紧现象。采用基于边缘的平滑方法(ES)改进了每个MITC3板单元的恒定应变场,该方法在相邻两个单元的域上平均应变场。基于分层理论和三阶剪切变形理论(TSDT)描述的每层位移场,推导出用于夹层板静力分析的ES-MITC3板单元的表达式。通过对夹层板进行正弦载荷和均布载荷试验,验证了该方法的准确性和有效性。
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