具有短纤维增韧界面的复合材料夹芯梁断裂机制的实验和数值研究

对界面含短纤维的复合材料夹芯梁增韧特性进行了实验和数值研究。采用真空辅助树脂注射工艺制成复合材料夹芯梁, 并测定了含增强与未增强复合材料夹芯梁的界面断裂韧性。基于单根短纤维在界面裂纹扩展时其剥离和拔出过程产生的能量耗散, 建立了相应的细观模型。然后, 假设短纤维在界面内随机均匀分布, 得到在单位面积下短纤维能量耗散的宏观表达式。在宏观尺度上, 建立了用于界面裂纹扩展分析的双悬臂梁有限元模型, 通过引入非线性弹簧单元, 以反映界面短纤维所产生的桥联特征, 并采用虚裂纹闭合技术计算了裂纹尖端的能量释放率。通过典型复合材料夹芯梁断裂分析和参数讨论, 证实了本文中提出的随机分布细观模型预测短纤维耗散能量的有效性。实验及数值结果表明, 在复合材料夹芯结构界面中引入短纤维将是一种提高其界面断裂韧性的有效措施。      

纤维桥联效应下复合材料层合板的屈曲及分层扩展模拟

纤维增强复合材料层合板由于层间力学性能弱,容易出现分层损伤。分层的扩展往往伴随着纤维桥联效应,纤维桥联能显著增大层合板尤其是多向层合板分层扩展的阻力。考虑纤维桥联效应的三线性内聚力模型能表征分层扩展实验中断裂韧性的“R曲线”特征,比传统的双线性模型能更为准确地描述复合材料的分层扩展行为。本论文基于三线性内聚力模型,对含圆形分层复合材料层合板的轴向压缩进行数值模拟,探讨纤维桥联效应对分层扩展及后屈曲行为的影响规律。研究结果发现,纤维桥联对层合板的屈曲载荷影响较小;混合屈曲模式下,三线性模型预测的上下子板相对法向位移明显低于双线性模型;相同分层深度下,三线性模型预测的层合板后屈曲更早转变为整体屈曲模式。随着分层深度的增加,层合板的屈曲模式由局部屈曲逐步过渡为混合屈曲和整体屈曲;当分层深度较浅时,Ⅰ型分层扩展占主导;随着分层深度的增加,Ⅰ型分层逐渐减弱,而Ⅱ型和Ⅲ型分层扩展则显著增强;当分层接近板中面时,Ⅰ型分层停止扩展,以Ⅱ型及Ⅲ型分层为主。     

Z-pins对层合复合材料非对称分层增韧作用参数分析——Ⅰ型层间韧性

假设纤维Z-pins的桥联力与嵌入厚度成正比,建立适于非对称分层(分层位于层合板厚度方向上的任意位置)的Z-pin细观力学模型并构造相应的Z-pin单元,结合考虑一阶剪切变形的梁单元,建立了用于分析含浅部分层采用Z-pins增韧的双悬臂梁(Double cantilever beam,DCB)有限元模型,并在分层裂纹面上引入接触单元以防止分析过程中2个分层子梁在分层前缘处的相互嵌入。通过数值算例分析了Z-pins对含非对称分层的DCB试件Ⅰ型层间韧性的增强作用。参数分析表明,当分层位置靠近层合板的表面时,Z-pins的增韧作用明显下降,其较薄分层子层的厚度是决定Z-pins对Ⅰ型层间韧性增强效果的关键参数。     

Z-pin增强复合材料Ⅰ型断裂韧性数值分析

采用细观力学方法以及虚拟裂纹闭合法(VCCT)对含有Z-pin增强复合材料双悬臂梁(DCB)结构Ⅰ型断裂韧性进行了研究。利用有限元法建立了结构模型,采用实体单元模拟复合材料层压板结构和非线性弹簧元模拟Z-pin。通过计算应变能释放率对含有不同体积分数Z-pin的复合材料层压板Ⅰ型断裂韧性与不含Z-pin的复合材料层压板Ⅰ型断裂韧性进行了对比分析。研究表明,含有Z-pin增强复合材料双悬臂梁(DCB)结构Ⅰ型断裂韧性在裂纹扩展过程中受到Z-pin桥联作用的影响而显著增强,且其增强效果与Z-pin的体积分数、处在桥联区的Z-pin数目均相关,这表明Z-pin增强方法能够有效提高复合材料层压板的分层扩展阻力。     

层间颗粒增韧复合材料层压板的损伤阻抗特性

采用热塑性颗粒对HT7/ 5228 、HT3/ N Y9200G和HT3/ 5224 三种高温固化环氧基体复合材料层压板进行层间增韧。为了提高冲击后压缩强度(CAI) 和考察损伤阻抗, 测试了平均分层起始能量e_Ⅱc以及接触力-凹坑深度关系。试验结果表明, 增韧颗粒和基体树脂形成的层间区域能有效地吸收断裂能量并抑制分层的发生, e_Ⅱc显著提高。在静压痕力下, 层间增韧复合材料层压板具有较深的凹坑深度和较小的损伤面积。层间增韧的几何效应、裂纹传播路径控制、颗粒桥联以及裂尖屏蔽是主要的增韧机理, 颗粒的塑性变形和最终失效也耗散了大量断裂能量。      

热塑性树脂含量对CCF800H碳纤维环氧复合材料Ⅰ型层间断裂韧度的影响

采用国产CCF800H高强中模碳纤维增强环氧制备了复合材料,研究不同热塑性树脂含量对复合材料张开(Ⅰ)型层间断裂韧度的影响,研究表明:随着热塑组分含量的提高,复合材料的裂纹起始应变能量释放率(GⅠC-init)与裂纹稳态扩展应变能量释放率(GⅠC-prop)都获得了大幅度提升,在增韧组分质量分数大于20%时,增韧聚芳醚酰亚胺粉体可在复合材料层间富集形成层间高韧区,并在复合材料层间形成了由"连续相"和"分散相"组成的层间增韧结构。     

有横向纤维搭桥的脱层扩展稳定性分析

本文利用von Karman 非线性薄板理论, 求解了复合材料中有横向纤维搭桥作用的圆形薄膜脱层的后屈曲问题, 获得了桥联脱层均匀扩展的能量释放率和断裂韧性。通过大量的计算和分析得到一个重要结论: 搭桥纤维的存在不仅对脱层的初始扩展起到了增韧作用, 而且避免了脱层扩展的灾难性。同时定量地给出了搭桥作用对脱层初始扩展的增韧程度, 并且确定了桥联脱层扩展稳定与不稳定的分区, 对不稳定脱层还给出了失稳扩展的范围及动态效应的估计。      

Z-pins 几何分布对其增强复合材料双悬臂梁Ⅰ型层间韧性的影响

复合材料Z-pinning 增强技术通过在层合板内嵌入体分比小于5 %的Z-pins , 能大幅度提高层合板的层间断裂韧性, 减少因低能量冲击所产生的分层损伤。本文作者基于细观力学模型, 构造了相应的Z-pin 单元; 结合梁单元, 建立了用于分析含Z-pins 的双悬臂梁(Double cantilever beam , DCB) 的有限元模型; 在分层裂纹面上引入接触单元以防止分析过程中2 个分层子梁在分层前缘处的相互嵌入。通过数值算例分析了Z-pins 对层间韧性增强效果的影响及其原因。数值计算结果表明, Z-pins 的几何分布对其增强层间韧性的影响相对较小。      

一种改进的内聚力损伤模型在复合材料层合板低速冲击损伤模拟中的应用

针对传统内聚力损伤模型(CZM)无法考虑层内裂纹对界面分层影响的缺点,提出了一种改进的适用于复合材料层合板低速冲击损伤模拟的CZM。通过对界面单元内聚力本构模型中的损伤起始准则进行修正,考虑了界面层相邻铺层内基体、纤维的损伤状态及应力分布对层间强度和分层扩展的影响。基于ABAQUS用户子程序VUMAT,结合本文模型及层合板失效判据,建立了模拟复合材料层合板在低速冲击作用下的渐进损伤过程的有限元模型,计算了不同铺层角度和材料属性的层合板在低速冲击作用下的损伤状态。通过数值模拟与试验结果的对比,验证了本文方法的精度及合理性。     

Z—pins几何分布对其增强复合材料双悬臂梁I型层间韧性的影响

复合材料z—pinning增强技术通过在层合板内嵌人体分比小于5％的z—pins，能大幅度提高层合板的层间断裂韧性，减少因低能量冲击所产生的分层损伤。本文作者基于细观力学模型，构造了相应的z—pin单元；结合梁单元，建立了用于分析含z—pins的双悬臂梁（Double　cantilever　beam，DCB）的有限元模型；在分层裂纹面上引人接触单元以防止分析过程中2个分层子梁在分层前缘处的相互嵌人。通过数值算例分析了z—pins对层间韧性增强效果的影响及其原因。数值计算结果表明，z—pins的几何分布对其增强层间韧性的影响相对较小。     

缝合复合材料II型层间断裂特性研究

分别采用测量ENF试样加载点位移与测量其端部剪切位移CSD(Crack Shear Displacement)的试验方法,研究了缝合复合材料层合板的II型层间断裂韧性以及缝合密度,缝合线的直径等缝合参数对于缝合复合材料层合板II型层间断裂韧性和分层模式的影响。结果表明,缝合降低了层合板初始分层韧性G_IIi,但对于分层的扩展有良好的抑制作用。缝合参数对此有较大影响。      

Local buckling of stitched composite laminate

Due to relatively low interlaminar strength, delamination is a common failure mode of composite laminates. Through-thickness stitching is shown to improve the delamination resistance of laminated composites. Under in-plane compressive loading, significant strength reduction occurs due to coupling between delamination and delamination buckling. In this paper, an energy-based model was developed to predict the effect of critical stitching parameters on the delamination buckling strength of stitched laminates. Excellent agreement was found between the model results and a corresponding finite element analysis.     

面内损伤对埋藏分层影响的三维有限元分析

运用大型有限元软件ANSYS,基于复合材料层合板损伤理论,建立了含面内损伤和埋藏分层的复合材料层板三维有限元模型.分析了面内损伤对复合材料层板分层的影响.采用三维Hashin准则预测复合材料损伤,分层区损伤采用多种损伤模型,损伤发生后,认为材料仍连续,并修改损伤单元对应的材料参数.通过虚拟裂纹闭合技术（VCCT）计算分...     

Interaction between matrix cracking and edge delamination in composite laminates

Matrix cracking and edge delamination are two main damage modes in continuous-fibre composite laminates. They are often investigated separately, and so the interaction between two damage modes has not yet been revealed. In this paper, a simple parallel-spring model is introduced to model the longitudinal stiffness reduction due to matrix cracking and edge delamination together. The energy release rate of edge delamination eliminating the matrix crack effect and the energy release rate of matrix cracking in the presence of edge delamination are then obtained. Experimental materials include carbon- and glass-fibre-reinforced bismaleimide composite laminates under static tension. The growth of matrix cracks and edge delaminations was recorded by means of NDT techniques. Results show that matrix cracks may initiate before or after edge lamination. This depends on the laminate layup, and especially on the thickness of the 90° plies. Edge delamination may also induce matrix cracking. Matrix cracking has a significant effect on the stiffness reduction in GRP laminates. The present model can predict the stiffness reduction in a laminate containing both matrix cracks and edge delaminations. The mixed-mode delamination fracture toughness obtained from the present model shows up to 50% differences compared with O'Brien's model for GRP laminates. However, matrix cracking has a small effect on the mixed-mode interlaminar fracture toughness of the CFRP laminates.     

Improving interlaminar fracture toughness of carbon fibre/epoxy laminates by incorporation of nano-particles

Double-cantilever-beam tests were applied to investigate the mode I interlaminar fracture toughness of carbon fibre/epoxy laminates, in which the epoxy matrices were incorporated with rubber and silica nano-particles, either singly or jointly. It is shown that the toughness is improved owing to the presence of these nano-particles although nano-rubber is more effective than nano-silica. Further, by keeping the total particle weight percentage constant in epoxies (e.g., at 8 and 12 wt.%) filled with equal amount of nano-silica and nano-rubber, the interlaminar toughness values of the hybrid laminates are always higher than those with nano-silica filled epoxies but lower than those with nano-rubber filled matrices. Scanning electron microscopy examination of the delaminated surfaces of composite laminates filled with nano-particles revealed that cavitation of nano-rubber particles/void growth and debonding of nano-silica from epoxy matrix are responsible for the improved interlaminar toughness observed. It is also shown that the bulk toughness of nano-particle filled epoxies cannot be fully transferred to the interlaminar toughness of composite laminates, being limited by the constraint effect imposed by the carbon fibres. Finally, the role of fibre-bridging on the delaminated crack and hence delamination toughness is discussed.     

Finite Element Analysis of Delamination inWoven Composites under Quasi-Static Indentation

Delamination initiation and propagation in plain woven laminates and 3D orthogonal woven composites during short beam shear (SBS) test were analyzed using finite element (FE) analyses. Two kinds of 3D woven composites, containing single z-yarns and double z-yarns, were considered. The FE models were guided by experimental observations from SBS tests for the same material systems. A series of mechanisms including creation and evolution of matrix cracks and delaminations were modeled discretely. The force-displacement curves obtained from the FE simulations were compared with those from experiments. Further parametric studies were conducted to investigate the effects of z-yarns and interlaminar fracture toughness on delamination in woven composites. The results from the FE simulations revealed that z-yarns in 3D woven composites can play a major role in impeding propagation of interlaminar cracks. On the other hand 2D plain woven laminates without any z-reinforcement demonstrated higher interlaminar fracture toughness due to undulation in yarns. 3D woven composites with double yarns showed better damage tolerance than single yarn 3D woven composites and their behavior was very similar to composite laminates with high interlaminar fracture toughness.     

DCB test simulation of stitched CFRP laminates using interlaminar tension test results

A simulation model for the delamination extension of stitched CFRP laminates and 3-D orthogonal interlocked fabric composites (3-D OIFC) has been developed using a 2-D finite element method incorporating interlaminar tension test results to simulate the experimental results of their DCB tests. The mechanical properties of through-the-thickness fiber were determined from the results of interlaminar tension tests in which the specimen included only one through-the-thickness yarn. The fracture phenomena around the through-the-thickness thread, such as debonding from the in-plane layer, slack absorption, fiber bridging, and the pull-out of broken threads from the in-plane layers, are also introduced into the FEM model. The present FEM simulation results were compared to DCB test results for certain stitched laminates and a 3-D OIFC, and the simulation results showed good agreement with the experimental results of DCB tests, including the load–displacement curve and Mode I strain energy release rate (GI). While it was difficult to estimate GI accurately when the DCB test specimen included different types of z-fiber fracture modes, the present model of FEM analysis can simulate the experimental results of DCB tests of stitched laminates and 3-D OIFC. It is suggested that the GI of CFRP with arbitrary z-fiber densities can be predicted by using this FEM analysis model together with interlaminar tension test results.     

螺栓夹持填充孔复合材料层压板层间应力分析

为了研究含螺栓复合材料层压板连接接头的层间应力分布规律,提出了采用填充孔形式和虚拟界面层方法求解层间应力,并建立了三维有限元模型对受面内压缩载荷的螺栓夹持填充孔层压板进行分析。结果表明:层压板层间应力集中不仅发生在孔边,还会在螺栓头边缘附近出现,且夹持力越大螺栓头边缘附近的层间应力集中越严重;合理的螺栓夹持力能改善孔边应力状态,提高孔边抵抗分层的能力,但无法改善螺栓头边缘附近的层间剪切应力集中状态。因此,在进行含螺栓夹持的层压板机械连接结构孔边层间强度设计时,也要考虑螺栓头边缘的层间剪切应力集中问题,以提高复合材料结构的安全性。     

XFEM simulation of delamination in composite laminates

In this paper, the extended finite element method (XFEM) is extended to simulate delamination problems in composite laminates. A crack-leading model is proposed and implemented in the ABAQUS® to discriminate different delamination morphologies, i.e., the 0°/0° interface in unidirectional laminates and the 0°/90° interface in multidirectional laminates, which accounts for both interlaminar and intralaminar crack propagation. Three typical delamination problems were simulated and verified. The results of single delamination in unidirectional laminates under pure mode I, mode II, and mixed mode I/II correspond well with the analytical solutions. The results of multiple delaminations in unidirectional laminates are in good agreement with experimental data. Finally, using a recently proposed test that characterizes the interaction of delamination and matrix cracks in cross-ply laminates, the present numerical results of the delamination migration caused by the coupled failure mechanisms are consistent with experimental observations.     

Stress analysis of imperfect composite laminates with an interlaminar bonding theory

Delamination is a major damage mode in laminated composites since it can cause severe structural degradation. Based on an interlaminar shear stress continuity theory and a linear shear slip theory, a so-called Interlayer Shear Slip Theory was presented in a previous study. This theory was verified to be feasible for shearing-mode delamination analysis. However, in order to account for opening-mode delamination in laminated composites, the continuity of interlaminar normal stress and the modelling of normal separation on the composite interface should also be considered. The present study gives a complete discussion on the Interlaminar Bonding Theory. The effects of interlaminar bonding condition on the laminate deformation and stress distribution are also presented. It is concluded from numerical results that the present theory is suitable for analysis of composite laminates with imperfect interfaces.