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A meshless study of antisymmetric angle-ply laminates using high-order shear deformation theories

机译：使用高阶剪切变形理论对抗抗对称角层层压材料的无丝毫研究

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摘要

Composite laminated plates have found several applications in engineering field. For instance, aerospace and automotive industry use these structures in several components of their products due to their exceptional specific properties along the direction of the fibres. There are several two-dimensional plate models that aim to more accurately and more efficiently predict the kinematics of those structures. Unlike the Classical Plate Theory (CLPT), which can only be applied to thin laminates, the First-Order Shear Deformation Theory (FSDT), developed by Reissner and Mindlin, already accounts shear effects and, due to that, it can describe in a satisfactory way the kinematic of a generic thick laminated plate. Nevertheless, the FSDT considers linear shape functions to describe the in-plane displacements through the plate thickness, which results in constant shear strains. Thus, the traction boundary conditions on the top and bottom surface of plate are violated. Additionally, the FSDT needs shear correction factors, which are not easily obtained for a generic problem. Equivalent single layer (ESL) theories following high-order shear deformation theories (HSDTs) have been proposed and more efficiently applied to composite laminated plates. These theories allow to represent the nonlinear variation of transverse shear stresses through thickness of plate because they possess nonlinear shape functions interpolating the in-plane displacements. Thus, the kinematics of these structural elements can be better described and more accurate stress fields can be obtained for problems that cannot be handled with the FSDT.These structures have been analysed for several years using the Finite Element Method (FEM), which is the most popular numerical tool in structural analysis. However, several other advanced numerical techniques, such as meshless methods, can also handle this kind of problems and, in some cases, in a more efficient way. This work makes use of a recently developed meshless method - the Natural Neighbour Radial Point Interpolation Method (NNRPIM) (Belinha, 2014) - to study the bending of antisymmetric angle-ply composite laminates using distinct HSDTs.
机译：复合层压板在工程领域发现了几种应用。例如，航空航天和汽车行业由于沿着纤维方向的特殊特性而在其产品的几个部件中使用这些结构。有几种二维板模型，旨在更准确，更有效地预测这些结构的运动学。与古典板理论（CLPT）不同，它只能应用于薄的层压板，由Reissner和Mindlin开发的一阶剪切变形理论（FSDT），已经是账户的剪切效果，并且由于此，它可以描述令人满意的方式通用厚层压板的运动。然而，FSDT考虑线性形状功能以描述通过板厚度的面内位移，从而导致恒定的剪切菌株。因此，违反板的顶部和底表面上的牵引边界条件。另外，FSDT需要剪切校正因子，这不容易获得通用问题。已经提出了高阶剪切变形理论（HSDTS）之后的等效单层（ESL）理论，并更有效地施加到复合层压板上。这些理论允许代表横向剪切应力的非线性变化，因为它们具有内插面内位移的非线性形状函数。因此，可以更好地描述这些结构元件的运动学，并且可以获得更准确的应力场用于不能用FSDT处理的问题。使用有限元方法（FEM）已经分析了几年的结构，这是结构分析中最受欢迎的数值工具。然而，其他几种其他先进的数值技术，例如无丝毫的方法，也可以处理这种问题，并且在某些情况下以更有效的方式处理这种问题。这项工作利用最近开发的无网格方法 - 天然邻径向点插值方法（NNRPIM）（Belinha，2014） - 使用不同的HSDTS研究防尿上角度复合层压材料的弯曲。

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  • 来源
    《Composite Structures》 |2021年第2期|112795.1-112795.14|共14页
  • 作者

    Rodrigues D. E. S.; Belinha J.; Dinis L. M. J. S.; Jorge R. M. Natal;

  • 作者单位

    Inst Sci & Innovat Mech & Ind Engn Dr Roberto Frias Str 400 S-N P-4200465 Porto Portugal;

    Inst Sci & Innovat Mech & Ind Engn Dr Roberto Frias Str 400 S-N P-4200465 Porto Portugal|Polytech Porto ISEP Dept Mech Engn Sch Engn Rua Dr Antonio Bernardino Almeida 431 P-4200072 Porto Portugal;

    Inst Sci & Innovat Mech & Ind Engn Dr Roberto Frias Str 400 S-N P-4200465 Porto Portugal|Univ Porto FEUP Fac Engn Dept Mech Engn Dr Roberto Frias Str S-N P-4200465 Porto Portugal;

    Inst Sci & Innovat Mech & Ind Engn Dr Roberto Frias Str 400 S-N P-4200465 Porto Portugal|Univ Porto FEUP Fac Engn Dept Mech Engn Dr Roberto Frias Str S-N P-4200465 Porto Portugal;

  • 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

    Antisymmetric angle-ply composite laminates; High-order shear deformation theories; Meshless methods; Natural Neighbour Radial Point Interpolation Method (NNRPIM);

    机译：反对称角度帘布层复合层压板;高阶剪切变形理论;无丝毫的方法;自然邻辐射点插值方法（NNRPIM）;

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