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Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory

机译：层状变形理论对层合板和夹层板的等几何分析

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摘要

We present an isogeometric finite element formulation for static, free vibration and buckling analysis of laminated composite and sandwich plates. The idea behind this work is to associate an isogeometric analysis (IGA) with a layerwise theory [A.J.M. Ferreira. Analyis of composite plates using a layerwise deformation theory and multiquadrics discretization. Mech Adv Mater Struct 2005;12(2):99-112]. Isogeometric analysis based on non-uniform rational B-spline (NURBS) basic functions were recently proposed to preserve exact geometries and to enhance very significantly the accuracy of the traditional finite elements. B-splines basic function (or NURBS) is used to represent for both geometric and field variable approximations, which provide a flexible way to make refinement and degree elevation. They enable us to achieve easily the smoothness with arbitrary continuity order compared with the traditional FEM. The layerwise theory assumes a first-order shear deformation theory in each layer and the imposition of displacement continuity at the layers interfaces. This permits to remove shear correction factors and improves the accuracy of transverse shear stresses. Intensive numerical studies have been conducted to show the highly efficient performance of the proposed formulation.
机译：我们为叠层复合材料和夹层板的静态，自由振动和屈曲分析提供了等几何有限元公式。这项工作背后的想法是将等几何分析（IGA）与分层理论联系起来[A.J.M.费雷拉。使用分层变形理论和多二次离散化的复合板分析。 Mech Adv Mater Struct 2005; 12（2）：99-112]。最近提出了基于非均匀有理B样条（NURBS）基本函数的等几何分析，以保留精确的几何形状并极大地提高传统有限元的精度。 B样条曲线的基本功能（或NURBS）用于表示几何变量和字段变量的近似值，这提供了一种灵活的方法来进行细化和度提升。与传统的有限元法相比，它们使我们能够轻松实现具有任意连续性顺序的平滑度。分层理论假设每一层都具有一阶剪切变形理论，并在层界面处施加位移连续性。这允许去除剪切校正因子并提高横向剪切应力的精度。进行了深入的数值研究，以显示所提出配方的高效性能。

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  • 来源
    《Composite Structures》 |2013年第10期|196-214|共19页
  • 作者

    Chien H. Thai; A.J.M. Ferreira; E. Carrera; H. Nguyen-Xuan;

  • 作者单位

    Division of Computational Mechanics. Ton Duc Thang University, Hochiminh City, Viet Nam;

    Departamento de Engenharia Mecanica, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal,King Abdutaziz University, feddah, Saudi Arabia;

    Department of Aeronautics and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy;

    Division of Computational Mechanics. Ton Duc Thang University, Hochiminh City, Viet Nam,Department of Mechanics, University of Science, VNU, 227 Nguyen Van Cu Street, HCMC, Viet Nam,Department of Mechanics, University of Science, VNU, 227 Nguyen Van Cu Street, HCMC, 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

    Isogeometric analysis; Laminated composite and sandwich plates; Layerwise theory;

    机译：等几何分析;层压复合材料和夹心板;分层理论;

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