An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks

An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks
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具有多重分层和基体裂纹的复合材料层合梁的扩展分层方法

DOI:
10.1002/nme.4803
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发表时间:
2015-10
影响因子:
2.9
通讯作者:
Zhang, X.
Zhang, X.
中科院分区:
工程技术3区
文献类型:
--
作者:
Li, D. H.;Liu, Y.;Zhang, X.

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对于复合材料层状结构的分层和基体裂纹预测,最常用的是基于损伤力学和断裂力学的方法。然而,很少有方法能准确地模拟脱层和基体裂纹,尽管在冲击载荷作用下,面内基体裂纹总是与脱层同时存在。本文提出了一种扩展的分层方法来模拟具有多重分层和基体裂纹的复合材料层合梁。在位移场中,厚度方向的节点分别位于各单层的中间面、组合梁的顶面和底面。位移场包含线性拉格朗日插值函数、一维弱不连续函数和强不连续函数。采用强不连续函数和弱不连续函数分别对分层引起的位移不连续和层间界面引起的应变不连续进行建模。由于厚度方向上的节点位于每一层的中间表面,扩展逐层法与扩展有限元法相结合,可以方便地处理平面内基体裂纹。版权所有©2014 John Wiley & Sons, Ltd。
For the delamination and matrix crack prediction of composite laminated structures, the methods based on the damage mechanics and fracture mechanics are most commonly used. However, there are very few methods that can accurately simulate the delaminations together with matrix cracks, although the in‐plane matrix cracks always exist alongside the delaminations under impact loading. In this work, an extended layerwise method is developed to model the composite laminated beam with multiple delaminations and matrix cracks. In the displacement field, the nodes in the thickness direction are located at the middle surface of each single layer, the top surface and the bottom surface of the composite beams. The displacement field contains the linear Lagrange interpolation functions, the one‐dimensional weak discontinuous function and strong discontinuous function. The strong and weak discontinuous function are applied to model the displacement discontinuity induced by delaminations and the strain discontinuity induced by the interface between the layers, respectively. Because the nodes in the thickness direction are located at the middle surface of each single layer, the extended layerwise method can be conveniently employed to deal with the in‐plane matrix cracks combined with the extend FEM. Copyright © 2014 John Wiley & Sons, Ltd.
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