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Variable kinematic shell elements for composite laminates accounting for hygrothermal effects

机译:复合材料层压板的可变运动学壳单元,考虑了湿热效应

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摘要

This article presents advanced shell models for the steady-state hygrothermal analysis of composite laminates. The Carrera Unified Formulation is used to derive refined models that include both layer-wise and equivalent single layer models. The governing equations are derived from the principle of virtual displacement taking into account thermal and hygroscopic effects. The geometrical relations for the exact cylindrical geometry are here considered. Through-the-thickness variations of temperature and moisture concentration are calculated by solving the Fourier equation and the Fick law, respectively. The mixed interpolation of tensorial component method is applied to a nine-node shell element to contrast the membrane and shear locking phenomena. Simply supported cross-ply cylindrical shells with antisymmetrical lamination subjected to bisinusoidal thermal/hygroscopic loads are analyzed considering various thickness/curvature ratios. Results obtained with assumed linear and calculated temperature/hygroscopic profiles are presented. Variable kinematics are compared regarding both accuracy and computational costs. The results show that all the kinematics can approximate the transverse shear stress distribution through the thickness with satisfactory accuracy when sucient expansion terms are adopted. In some cases, miscellaneous expansions can lead to significant reductions in computational costs. The results presented here can be used as benchmark solutions for future works.
机译:本文介绍了用于复合层压板稳态湿热分析的高级壳体模型。 Carrera统一公式用于导出精炼的模型,其中包括逐层模型和等效的单层模型。控制方程式是从考虑热和吸湿效应的虚拟位移原理推导出来的。这里考虑了精确的圆柱几何形状的几何关系。通过求解傅立叶方程和菲克定律分别计算出温度和湿度的整个厚度变化。张量分量混合插值法应用于九节点壳单元,以对比膜和剪切锁定现象。考虑到各种厚度/曲率比,分析了承受双正弦热/吸湿载荷的具有反对称叠层的简支交叉层圆柱壳。给出了假设的线性和计算的温度/吸湿曲线获得的结果。比较了可变运动学的准确性和计算成本。结果表明,采用适当的扩张项时,所有运动学都可以通过厚度近似地估算出横向切应力分布。在某些情况下,其他扩展可能会导致计算成本显着降低。这里介绍的结果可以用作将来工作的基准解决方案。

著录项

  • 来源
    《Journal of thermal stresses》 |2017年第12期|1523-1544|共22页
  • 作者单位

    Politecn Torino, Dept Mech & Aerosp Engn, Grp MUL2, Corso Duca Abruzzi 24, I-10129 Turin, Italy;

    Politecn Torino, Dept Mech & Aerosp Engn, Grp MUL2, Corso Duca Abruzzi 24, I-10129 Turin, Italy;

    Politecn Torino, Dept Mech & Aerosp Engn, Grp MUL2, Corso Duca Abruzzi 24, I-10129 Turin, Italy;

    Politecn Torino, Dept Mech & Aerosp Engn, Grp MUL2, Corso Duca Abruzzi 24, I-10129 Turin, Italy;

  • 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

    Carrera Unified Formulation; exponential; finite elements; hygrothermal; shell; trigonometric;

    机译:Carrera统一配方指数有限元湿热壳三角函数;

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