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A finite element based global-local theory for static analysis of rectangular sandwich and laminated composite plates

机译：基于有限元的全局局部理论，用于矩形夹层板和层合板的静力分析

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摘要

In the present paper, a global-local theory with three-dimensional elasticity correction is developed for stress and deformation analysis of the multilayered and sandwich plates. The governing equations are derived based on the principle of minimum potential energy. The coupled governing equations are solved based on a finite element procedure uses the second-order Lagrangian elements and a Galerkin-type formulation. Results of this theory are accurate for both thin and thick plates. The transverse shear stresses are extracted based on the three-dimensional theory of elasticity. Thus, the continuity of the inter-laminar transverse shear stresses is satisfied a priori. The proposed finite element formulation is implemented using MATLAB software. Results revealed that, while the accuracy of the present theory is comparable to that of the three-dimensional theory of elasticity and sometimes (e.g., when a very soft core is used) is higher than the high-order zigzag theories, the presented solution approach is computationally more economic. Finally, a comprehensive parametric study including evaluating the influences of the lamination scheme, number of layers, plate aspect ratio, side-to-thickness ratio, and material properties variations on the in-plane stresses, transverse shear stresses, and displacement components is performed.
机译：在本文中，发展了具有三维弹性校正的全局局部理论，用于多层板和夹心板的应力和变形分析。根据最小势能原理推导控制方程。基于二阶拉格朗日元素和Galerkin型公式的有限元程序可求解耦合的控制方程。该理论的结果对于薄板和厚板都是准确的。基于三维弹性理论提取横向剪应力。因此，先验地满足了层间横向剪切应力的连续性。所提出的有限元公式是使用MATLAB软件实现的。结果表明，虽然本理论的准确性与三维弹性理论的准确性相当，有时（例如，当使用非常软的芯子时）比高阶之字形理论要高，但提出的解决方法在计算上更加经济。最后，进行了全面的参数研究，包括评估层压方案，层数，板高宽比，边长与厚度比以及材料特性变化对面内应力，横向剪切应力和位移分量的影响。 。

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  • 来源
    《Composite Structures》 |2014年第1期|177-189|共13页
  • 作者

    S.M.R. Khalili; M. Shariyat; I. Rajabi;

  • 作者单位

    Center of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineerins.. K.N. Toosi University of Technology. Tehran. Iran;

    Center of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineerins.. K.N. Toosi University of Technology. Tehran. Iran;

    Center of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineerins.. K.N. Toosi University of Technology. Tehran. Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Finite element; Stress analysis; Global-local theory; Laminated composite; Elasticity; Rectangular sandwich plate;

    机译：有限元;压力分析;全球局部理论;层压复合材料;弹性;矩形夹心板;

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