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A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites

机译：线性平滑高阶CS-FEM，用于分析缺口层压复合材料

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摘要

Higher-order elements with highly accurate solutions are attractive for stress analysis and stress concentration problems. However, the distorted eight-node serendipity quadrilateral element is known to yield inaccurate results and sub-optimal convergence rate. In this paper, we present a higher-order CS-FEM to alleviate the effect of distorted mesh and guarantee the quality of solutions by employing a linear smoothing technique over eight-node quadratic serendipity elements. The modified strain matrix is computed by the divergence theorem between the nodal shape functions and their derivatives using Taylor's expansion of the weak form. The proposed method eliminates the need for isoparametric mapping and numerical studies demonstrate that the proposed method is insensitive to mesh distortion. The improved accuracy and superior convergence rates are numerically demonstrated with a few benchmark problems. The analysis of the stress concentration around cutouts also proves that the present method has good performance for the laminated composites.
机译：具有高精度解决方案的高阶元素对于应力分析和应力集中问题很有吸引力。但是，已知失真的八节点四边形四边形元素会产生不准确的结果和次优收敛速度。在本文中，我们提出了一种高阶CS-FEM，以通过对八节点二次偶然性元素采用线性平滑技术来减轻变形的网格效果并确保解的质量。修改后的应变矩阵由节点形状函数及其导数之间的散度定理使用弱形式的泰勒展开来计算。所提出的方法消除了对等参映射的需求，数值研究表明所提出的方法对网格变形不敏感。用数值方法证明了改进的准确性和出色的收敛速度，同时还存在一些基准问题。对切​​口周围应力集中的分析也证明，本方法对层压复合材料具有良好的性能。

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  • 来源
    《Engineering analysis with boundary elements》 |2017年第12期|127-135|共9页
  • 作者

    Detao Wan; Dean Hu; Sundararajan Natarajan; Stephane P.A. Bordas; Ting Long;

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Key Laboratory of Advanced Design and Simulation Technology for Special Equipments, Ministry of Education, Hunan University, Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Key Laboratory of Advanced Design and Simulation Technology for Special Equipments, Ministry of Education, Hunan University, Changsha 410082, PR China;

    Integrated Modelling and Simulation Lab, Department of Mechanical Engineering, Indian Institute of Technology-Madras, Chennai 600036, India;

    Visiting Professor, Institute of Research and Development, Duy Tan University, K7/25 Quang Trung, Danang, Vietnam,University of Luxembourg, Department of Computational Engineering Sciences, Faculty of Science, Engineering and Communication, Luxembourg;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Key Laboratory of Advanced Design and Simulation Technology for Special Equipments, Ministry of Education, Hunan University, Changsha 410082, PR China;

  • 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

    Eight-node serendipity quadrilateral element; Linear smoothing technique; CS-FEM; Stress concentration; Laminated composite;

    机译：八节点巧合四边形元素;线性平滑技术;CS-FEM;应力集中;层压复合材料;

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