Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks
Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks
复制标题
具有多重分层和横向裂纹的层合复合板的扩展逐层法
DOI：
10.1007/s00466-016-1310-2
复制
发表时间：
2016
影响因子：
4.1
通讯作者：
Liu Y.
中科院分区：
文献类型：
--
作者：
Li D. H.;Zhang X.;Sze K. Y.;Liu Y.
本文采用扩展LayerWise方法(XLWM)对含多层脱层和横向裂纹的复合材料层合梁进行了数值模拟(Li et al.在Int J Numer方法(Eng 101：407-434,2015)中，将其推广到复合材料层合板。采用沿厚度方向的强不连续函数和弱不连续函数分别模拟多层脱层和层间界面，用扩展有限元方法模拟横向裂纹。采用相互作用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。复合材料层合板的XLWM能准确地预测裂纹尖端和脱层前缘附近的位移场和应力场。可以得到应力强度因子的厚度分布，从而得到不同层间的裂纹扩展角。这些信息不能通过使用其他现有的壳单元来预测，这些壳单元由XFE丰富。通过几个数值算例验证了XLWM在静力响应分析、应力强度因子计算和裂纹扩展预测中的能力。
In this paper, the extended layerwise method (XLWM), which was developed for laminated composite beams with multiple delaminations and transverse cracks (Li et al. in Int J Numer Methods Eng 101:407–434, 2015), is extended to laminated composite plates. The strong and weak discontinuous functions along the thickness direction are adopted to simulate multiple delaminations and interlaminar interfaces, respectively, whilst transverse cracks are modeled by the extended finite element method (XFEM). The interaction integral method and maximum circumferential tensile criterion are used to calculate the stress intensity factor (SIF) and crack growth angle, respectively. The XLWM for laminated composite plates can accurately predicts the displacement and stress fields near the crack tips and delamination fronts. The thickness distribution of SIF and thus the crack growth angles in different layers can be obtained. These information cannot be predicted by using other existing shell elements enriched by XFEM. Several numerical examples are studied to demonstrate the capabilities of the XLWM in static response analyses, SIF calculations and crack growth predictions.