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Stability of triaxial weave fabric composites employing finite element model with homogenized constitutive relation

机译:具有均质本构关系的有限元模型的三轴编织织物复合材料的稳定性

摘要

This study examines numerically the uniaxial stability of triaxial weave fabric (TWF) composites employing finite element (FE) model with homogenized constitutive relation. TWF, which presents high specific-strength and stiffness due to its porous and lightweight properties, was previously modelled using solid elements or plybased approach, and thus making computation considerably complex and timeconsuming. To circumvent these issues, the current FE formulation is of geometrical nonlinearity employing Newton-Rhapson method where TWF unit cell is treated as a standalone non-conforming composite plate element making use of the homogenized ABD stiffness matrix, where Aij, Bij, and Dij indicate the extensional, coupling, and bending stiffness, respectively in which degree of freedom has been greatly reduced. By means of Matlab program, the currently formulated model has demonstrated good agreement with existing numerical and experimental results from literature in terms of elastic properties. For the buckling analysis, four types of boundary conditions are explored: fully simply supported, fully-clamped, free-simply supported and freeclamped. High dependencies of post-buckling patterns of compression load against both maximum and minimum deflections on numerous aspect ratios from 0.25 to 5 are observed in TWF, from which a characteristic equation has been defined for practical convenience before the occurrence of post-buckling. Such equation is described on the basis of the critical buckling load, Nmax, and stiffness factor, S, the best characterization of which is expressed in a logarithmic manner. The study has recognized that the buckling characteristics correlate directly to TWF’s aspect ratios and level of rigidity imposed through the boundary conditions.
机译:本研究使用具有均质本构关系的有限元(FE)模型,对三轴编织织物(TWF)复合材料的单轴稳定性进行了数值研究。 TWF由于其多孔和轻质的特性而具有较高的比强度和刚度,以前已使用实体元素或基于层的方法进行建模,因此使计算变得相当复杂且耗时。为了避免这些问题,当前的有限元公式是采用牛顿-拉普森方法的几何非线性,其中利用均质化的ABD刚度矩阵将TWF晶胞视为独立的不合格复合板单元,其中Aij,Bij和Dij表示分别具有极大降低的自由度的拉伸刚度,耦合刚度和弯曲刚度。通过Matlab程序,当前制定的模型已经证明与现有文献中的数值和实验结果在弹性特性方面吻合良好。对于屈曲分析,研究了四种边界条件:完全简单支撑,完全夹紧,自由简单支撑和自由夹紧。在TWF中观察到压缩载荷的屈曲后模式与最大和最小挠度在0.25至5的许多纵横比上的高度相关性,从中定义了一个特性方程式,以便在发生后屈曲之前方便实用。基于临界屈曲载荷Nmax和刚度因子S来描述该方程式,其最佳表征以对数方式表示。该研究已经认识到,屈曲特性与TWF的纵横比和边界条件所施加的刚度直接相关。

著录项

  • 作者

    Rasin Norhidayah;

  • 作者单位
  • 年度 2013
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
  • 中图分类

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