Incompatible extended layerwise method for laminated composite shells

Incompatible extended layerwise method for laminated composite shells
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层合复合材料壳的不相容扩展逐层法

DOI:
10.1016/j.ijmecsci.2016.10.022
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发表时间:
2016-12
影响因子:
7.3
通讯作者:
Xu J. X.
Xu J. X.
中科院分区:
工程技术1区
文献类型:
--
作者:
Li D. H.;Zhang F.;Xu J. X.

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以往的研究[1]、[2]基于层状理论和扩展有限元法(XFEM),建立了针对多分层和横向裂纹层合复合材料的扩展层状法(XLWM)。为了提高收敛速度,本文将Wilson不相容自由度引入到XLWM的面内位移离散化中,建立了一种适用于层合复合材料壳的不相容扩展分层方法(IXLWM)。 IXLWM 的有限公式是根据具有分层和/或横向裂纹的复合材料壳的汉密尔顿原理推导出来的。在数值算例中,使用组合梁、板和球壳来验证所提出的 IXLWM 并研究其静态响应和应力密集因子 (SIF) 的收敛速度。此外,还研究了不同方向不相容自由度对收敛速度的影响。
The extended layerwise method (XLWM) was established in the previous studies [1], [2] for the laminated composites with multiple delaminations and transverse crack based on the layerwise theory and extended finite element method (XFEM). In order to improve convergence rate, Wilson's incompatible freedom is introduced into the in-plane displacement discretization of the XLWM, and an incompatible extended layerwise method (IXLWM) is established for the laminated composite shells in this paper. The finite formulation of IXLWM is deduced from Hamilton's principle for composite shells with delamination and/or transverse crack. In the numerical examples, the composite beams, plates and spherical shells are used to validate the proposed IXLWM and investigate its convergence rate for the static responses and stress intensive factor (SIF). In addition, the influence of incompatible freedom in different directions on the convergence rate is studied.
DOI: 10.1002/nme.3114
发表时间: 2011-07
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