Extended layerwise method of laminated composite shells

Extended layerwise method of laminated composite shells
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层合复合材料壳的扩展逐层法

DOI:
10.1016/j.compstruct.2015.08.141
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发表时间:
2016-02-01
影响因子:
6.3
通讯作者:
Li, D. H.
Li, D. H.
中科院分区:
工程技术1区
文献类型:
--
作者:
Li, D. H.

文献摘要

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本文用扩展有限元法(XFEM)和分层理论(LWT)对双曲复合材料层合壳中的多层脱层和横向裂纹进行了精确描述,并发展了一种扩展的分层方法(XLWM)。2015 [1])。在XLWM的位移假设中,采用沿厚度方向沿着的不连续函数来模拟多次脱层引起的位移不连续。横向裂纹采用扩展有限元法面内位移离散。该方法采用水平集方法(LSM)跟踪横向裂纹产生的界面。采用相关积分法和最大周向拉伸准则分别计算了应力强度因子和裂纹扩展角。为了保证裂纹扩展过程中某些节点距离裂纹面很近时高斯积分的精度,提出了一种局部网格重划方案,在不破坏网格质量的前提下,对这些节点进行移位。在数值算例中,考虑了有/无多处脱层和/或横向裂纹的球壳、圆柱壳和板的静态响应分析、应力强度因子计算和横向裂纹任意扩展问题。(C)2015爱思唯尔有限公司版权所有。
This paper deals with the accurate description of the multiple delaminations and transverse cracks in double-curved laminated composite shells by using the extended finite element method (XFEM) and layerwise theory (LWT), and develops an extended layerwise method (XLWM) which had been applied to the laminated beams in our previous work (Li et al., 2015 [1]). In the displacement assumption of XLWM, the discontinuous function along the thickness direction is adopted to simulate the displacement discontinuous resulted from multiple delaminations. While the transverse cracks are modeled in in-plane displacements discretization by XFEM. The level set method (LSM) is employed in the present method to track the interfaces resulted from the transverse cracks. The interaction integral method and maximum circumferential tensile criterion are used to calculate the stress intensity factor (SIF) and crack growth angle, respectively. In order to ensure the accuracy of Gauss integral when certain nodes are very close to the crack surface as the crack grows, a local remeshing scheme is developed to shift these nodes without scarifying the mesh quality. In the numerical examples, spherical shells, cylindrical shells and plates with/without multiple delaminations and/or transverse crack are considered to the problems of static responses analysis, SIF calculation and transverse crack arbitrary growth. (C) 2015 Elsevier Ltd. All rights reserved.