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Geometrically nonlinear analysis of composite plates and shells via a quadrilateral element with good coarse-mesh accuracy

机译：通过四边形单元对复合材料板和壳进行几何非线性分析，具有良好的粗网格精度

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摘要

This paper presents an improved finite element computational model using a flat four-node element with smoothed strains for geometrically nonlinear analysis of composite plate/shell structures. The von-Kar-man's large deflection theory and the total Lagrangian approach are employed in the formulation of the element to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory (FSDT). The element membrane-bending and geometric stiffness matrices are evaluated by integration along the boundary of smoothing elements which can give more accurate numerical integrations even with bad shape distortions. The predictive capability of the present model is demonstrated by comparing the present results with analytical/experimental and other numerical solutions available in the literature. Numerical examples show that the present formulations can prevent loss of accuracy in distorted or coarse meshes, and therefore, are superior to those of other bilinear quadrilateral elements.
机译：本文提出了一种改进的有限元计算模型，该模型使用具有平滑应变的平面四节点单元进行了复合板/壳结构的几何非线性分析。冯-卡尔曼的大挠度理论和总拉格朗日方法用于单元的公式化，以使用一阶剪切变形理论（FSDT）描述具有大变形的小应变几何非线性。通过沿平滑元素边界进行积分可以评估单元的膜弯曲和几何刚度矩阵，即使形状变形较差，也可以提供更准确的数值积分。通过将当前结果与文献中可用的分析/实验和其他数值解决方案进行比较，可以证明本模型的预测能力。数值示例表明，本发明的公式可以防止变形或粗糙网格中精度的损失，因此优于其他双线性四边形元素。

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  • 来源
    《Composite Structures》 |2014年第6期|327-338|共12页
  • 作者

    H. Nguyen-Van; N. Nguyen-Hoai; T. Chau-Dinh; T. Nguyen-Thoi;

  • 作者单位

    Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, 196 Pasteur Street, District 3, Ho Chi Minh City, Viet Nam;

    Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, 196 Pasteur Street, District 3, Ho Chi Minh City, Viet Nam;

    GACES, Faculty of Civil Engineering & Applied Mechanics, University of Technical Education Ho Chi Minh City, 01 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Viet Nam;

    Division of Computational Mathematics and Engineering (CME), institute for Computational Science (INCOS), Ton Duc Thang University, 19 Nguyen Huu Tho Street, District 7, Ho Chi Minh City, Viet Nam;

  • 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

    Geometric nonlinearity; Laminated plates/shells; Strain smoothing method; Shear locking free; Coarse-mesh accuracy;

    机译：几何非线性层压板/壳;应变平滑方法;无剪切锁定;粗网格精度;

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