准静态压痕力作用下复合材料层合板的凹坑深度预测方法

建立了一种在准静态压痕力作用下复合材料层合板凹坑深度的预测方法。首先采用基于应变描述的Hashin 和 Yeh 失效准则并结合有限元法, 对复合材料层合板在准静态压痕力作用下的失效过程进行渐进损伤分析, 获取一系列的材料性能退化信息。其次采用Sun的方法对局部损伤区材料的弹性参数进行等效处理。最后结合Turner的接触理论预测了凹坑深度-接触力曲线。计算结果表明, 基体开裂与分层是导致层合板开始产生凹坑的主要原因, 纤维断裂是导致凹坑深度急剧增加的主要原因。分层起始载荷、 最大接触力及各自相应的凹坑深度的预测结果与试验值具有较好的一致性。      

基于连续介质损伤力学的复合材料层合板低速冲击损伤模型

基于连续介质损伤力学（CDM）方法,建立了分析复合材料层合板低速冲击问题的三维数值模型。该模型考虑了层内损伤（纤维和基体损伤）、层间分层损伤和剪切非线性行为,采用最大应变失效准则预测纤维损伤的萌生,双线性损伤本构模型表征纤维损伤演化,基于物理失效机制的三维Puck准则判断基体损伤的起始,根据断裂面内等效应变建立混合模式下基体损伤扩展准则。横向基体拉伸强度和面内剪切强度采用基于断裂力学假设的就地强度（in-situ strength）。纤维和基体损伤本构关系中引入单元特征长度,有效降低模型对网格密度的依赖性。层间分层损伤情况由内聚力单元（cohesive element）预测,以二次应力准则为分层损伤的起始准则,B-K准则表征分层损伤演化。分别通过数值分析方法和试验研究方法对复合材料典型铺层层合板四级能量低速冲击下的冲击损伤和冲击响应规律进行分析,数值计算和试验测量的接触力-时间曲线、分层损伤的形状和面积较好吻合,表明该模型能够准确地预测层合板低速冲击损伤和冲击响应。     

复合材料层合板准静压损伤的数值模拟

从层合板准静压损伤机制出发, 根据渐进累积损伤原理, 建立了复合材料层合板准静压损伤的有限元模型, 合理地描述了复合材料层合板内部不同形式的损伤及其累积过程, 进而讨论了在相同的层合板厚度下, 单向铺层厚度对层合板准静压损伤的影响。结果表明, 单层厚度的增加会加大层合板的基体开裂损伤以及分层损伤的程度, 但有利于抑制纤维断裂的发生。     

复合材料开孔层合板双轴拉伸的渐进损伤

应用连续介质损伤力学(CDM)理论,对受双轴拉伸载荷作用的复合材料开孔层合板有限元模型分别计算分析了1∶1、2∶1和3∶1加载比下的渐进损伤,预测了损伤初始发生、延展到最后破坏的渐进损伤过程以及极限载荷。经试验验证三个不同加载比时的极限荷载计算值与试验数据均能较好吻合,纤维、基体、分层损伤演化过程的计算结果符合试验中观察到的现象特征,表明该模型可用于准确预测复合材料开孔层合板在双轴拉伸下的极限强度及渐进损伤过程。     

基体损伤对分层复合材料加筋板动力特性的影响研究

基于Mindlin假定的复合材料层合板单元和层合梁单元,推导了复合材料加筋板的刚度阵和质量阵;采用Adams应变能法与Rayleigh阻尼模型相结合的方法,构造了相应的阻尼阵列式;建立了分层损伤特征的三板模型和表征基体微裂纹损伤的基体损伤模型;并推导了一种基于Hertz型非线性接触法则的虚拟联接单元模型,以避免在振动分析过程中在低阶模态中分层处出现的上、下子板间不合理的嵌入现象;在上述模型和理论基础上,采用精细积分法求解含损伤结构的动力响应。对典型数例进行参数讨论,表明在动载荷作用下,嵌入分层损伤以及在振动过程中诱发的基体微裂纹损伤的演化将明显地影响加筋层合板的动力特性。     

复合材料层合板机械连接结构累积损伤模型和挤压性能试验研究

建立了三维累积损伤有限元模型, 采用扩展拉格朗日乘子法对螺栓表面和复合材料层合板孔壁间的接触行为进行了模拟。对复合材料层合板中纤维断裂、基体开裂和纤维2基体剪切3 类基本损伤类型的产生、扩展以及它们之间的关联性进行了研究。计算得到了复合材料层合板单钉连接结构的载荷2位移曲线, 预测了它们的初始挤压破坏载荷。同时, 进行了T300 帘子布/ Q Y8911 双马来酰亚胺树脂层合板单钉单搭螺栓挤压强度试验,验证了不同铺层类型和结构尺寸对复合材料层合板机械连接挤压性能的影响。试验结果和计算结果吻合较好, 证明了该模型和算法的有效性。      

纤维/镁合金混杂层合板低速冲击响应及损伤模拟

为了研究新型纤维增强镁合金混杂层合板在低速冲击下的力学响应,分别对由玻璃纤维、碳纤维和二者混杂增强的AZ31B镁合金层合板在不同冲击能量下的落锤低速冲击试验进行了数值模拟。基于镁合金各向异性塑性本构和指数关系界面脱粘内聚力本构模型,同时纤维复合材料层采用三维Hashin失效准则且引入刚度折减,编写了复合材料层板损伤的VUMAT子程序,并将该子程序嵌入ABAQUS/Explicit中实现对层合板冲击过程的模拟。研究了该纤维层合板在不同冲击能量下的动态冲击响应以及脱粘与损伤演化规律,分析了冲击载荷、形变和能量吸收随时间的变化规律。模拟结果表明:在冲击能较小时,首先在冲击背面出现基体开裂,随着冲击能的增加,层合板受冲击面出现由无明显损伤到出现基体开裂和纤维断裂的现象;与单一碳纤维增强的镁合金层合板复合材料相比,单一玻璃纤维增强的镁合金层合板在冲击载荷作用时能够吸收更多的能量,碳纤维层内混杂合适的玻璃纤维铺层能够提高碳纤维增强镁合金层合板的抗冲击性能。     

复合材料层板低速冲击后剩余压缩强度

对两种材料体系和铺层的复合材料层合板进行低速冲击后压缩强度试验 , 以研究低速冲击后层合板的压缩破坏机理。讨论了表面凹坑深度、 背面基体裂纹长度、 损伤面积以及剩余压缩强度与冲击能量的关系。在试验研究的基础上 , 建立了复合材料低速冲击后剩余强度估算的一种椭圆形弹性核模型。该模型将冲击损伤等效为一刚度折减的椭圆形弹性核 , 采用含任意椭圆核各向异性板杂交应力有限元分析含损伤层合板的应力应变状态 ,并应用点应力判据预测层板的压缩(或压、 剪)剩余强度。理论分析与试验结果对比表明 , 该模型简单有效。      

聚乙烯自增强复合材料损伤过程的声发射特征

复合材料在承受外载时, 声发射可产生于基体破裂、纤维-基体界面脱粘和纤维断裂等。测定了U HMWPE/ HDPE 复合材料在拉伸载荷作用下的声发射(AE) 振幅信号。对特殊试样, 即预测到断裂有明确方式, 如纤维-基体界面脱粘、基体破裂、纤维断裂和分层等的试样, 实施加载直至破坏。用扫描电子显微镜(SEM) 观测试样的断裂表面, 对产生于若干特殊损伤类型的AE 信号进行了鉴别。在相同加载条件下, 完成了不同种类的U HMWPE/ HDPE 准各向同性层合板声发射检测。结果在特殊试样损伤类型与声发射信号事件振幅之间建立了对应关系, 揭示了上述各种准各向同性层合板损伤扩展过程的AE 特征与损伤破坏机制。各种准各向同性层合板试样的声发射事件累计数对拉伸应力关系曲线相异, 其相同损伤类型发生时所对应的拉伸载荷水平不等, 表明它们的铺设角度和铺设顺序对损伤演变过程有显著的影响。结果证实了它们的最终破坏由严重层间分层造成。      

湿热环境下开孔复合材料层合板的强度

通过试验研究T300/5405复合材料层合板在6种湿热环境下开孔拉伸、开孔压缩的极限强度,分析了湿热环境对开孔复合材料层合板强度性能的影响,对比了不同湿热环境下材料的破坏模式。在有限元仿真方面,通过考虑湿热环境对材料刚度和强度的影响,建立了湿热条件下复合材料开孔层合板极限强度的预测方法,模拟了开孔复合材料层合板在不同湿热环境、不同载荷类型下的损伤演化全过程。有限元预测结果与试验结果的误差在20%以内,验证了该预测方法的有效性。     

复合材料开孔层板压缩渐进损伤试验

为研究碳纤维增强树脂基复合材料开孔层板在压缩加载过程中的损伤起始、演化方式和损伤特点,采用微距拍摄、逐级加载超声C扫描、X光扫描和扫描电子显微镜观测4种观测手段对国产CCF300/5228A[45/0/-45/90]4s、[452/02/-452/902]2s、[454/04/-454/904]s3种铺层方式的开孔层板进行了压缩试验研究。对压缩载荷作用下开孔层板的损伤起始和损伤演化进行了观察和对比。对试验中观测到的纤维微屈曲、纤维挤出、孔边开裂和分层扩展等现象之间的关系进行了分析和说明。试验结果表明:压缩载荷下45°和90°铺层相邻位置为层板易分层位置,含45°和90°铺层相邻位置的开孔层板渐进损伤过程较为明显:开孔层板在压缩载荷下较早出现损伤,损伤的起始和演化缓解了孔边应力集中,促使压缩应变能在孔边逐步释放,推迟开孔层板压缩破坏的发生,提高层板压缩承载能力。研究结果可为材料结构损伤容限设计提供依据。     

基于应变能耗散的复合材料层合板面内缺口强度分析CDM模型

基于伴随能量释放的渐进损伤演化思想,建立了复合材料层合板面内失效分析的连续介质损伤力学（CDM）分析模型,该模型包含损伤表征、损伤起始判定和损伤演化法则3个方面。基于CDM模型,通过引入损伤状态变量表征损伤,建立了平面应力状态下的材料损伤本构模型。采用损伤参量 f_E改写Hashin准则,以判定损伤的起始。损伤演化由特征长度内的应变能释放密度控制,建立了损伤状态变量关于等效应变的渐进损伤演化法则。模型中还同时考虑了面内剪切非线性和网格敏感性,并进行了对比分析。对含缺口的[90/0/±45]_3s和[（±θ）₄]_s 2类典型复合材料层合板的面内拉伸失效进行了分析,结果表明,本文中的模型能有效预测复合材料层合板的面内拉伸强度。     

压缩预应力对复合材料层板抗冲击损伤性能的影响

为确定压缩预应力对复合材料层板抗冲击损伤性能的影响,首先对不同压缩预应力下的碳纤维/双马树脂CCF300/5428层板进行了低速冲击和准静态压痕试验,然后通过热揭层和冲击后压缩试验分别得到了层板分层面积和剩余强度。结果表明:压缩预应力会大幅降低层板的接触刚度和弯曲刚度,从而导致相同冲击能量下层板凹坑深度和背部基体开裂长度增大;对于准静态压痕过程和相同冲击能量下的冲击过程,分层起始载荷和峰值载荷均随压缩预应力的增大而减小;在相同冲击能量下,随着压缩预应力的增大,层板内部分层总面积及冲击能量吸收比不断增大,剩余压缩强度不断降低。因此,压缩预应力会降低复合材料层板的冲击损伤阻抗,对损伤容限性能不利,在对承受压缩载荷结构的试验验证过程中应考虑压缩预应力对抗冲击损伤性能的影响。      

Damage development in carbon/epoxy laminates under quasi-static and dynamic loading

The contrasting characteristics of damage evolution have been examined in a multidirectional carbon/epoxy composite laminate (IM7/8551-7) subjected to both quasi-static and dynamic loading. Our experiments were performed on bend-test bars that were loaded either in ‘supported' four-point bending or under ‘unsupported' conditions with a Hopkinson pressure bar to induce dynamic loading. We found differences in the damage that occurred in specimens loaded by the two techniques, in terms of the number of cracks and the length of the cracks. In the case of quasi-static loading, there were many matrix cracks within individual plies and only a few delamination cracks between plies; the maximum ratio of numbers of matrix to delamination cracks observed was 6:1. Despite their small number, the delamination cracks had a greater total length than the matrix cracks, and specimen failure occurred as a result of delamination crack propagation. During dynamic loading, the ratio between numbers of matrix and delamination cracks was 3:1, and in this case the ratio between the total crack lengths was unity. A quantitative assessment of damage induced during quasi-static bending was made from specimen stiffness results. Using simple beam theory and knowing the location of the damage, we correlated beam stiffness to the materials effective elastic modulus. We found that the composite's effective modulus decreased rapidly with small amounts of initial damage, but that subsequent increases in damage decreased the effective modulus at a much lower rate.     

In‐plane progressive matrix cracking analysis of symmetric cross‐ply laminates with holes

Most of the previously performed damage analyses in composite laminates have been restricted to model the plain laminates without geometry discontinuities. In this study, a micromechanical damage model is combined with the finite element formulation and is implemented in the integration points to perform progressive damage analyses of composite laminates. A micromechanical damage model based on the stress transfer method is used to find the degradation of mechanical properties of composite laminates. Crack density is also used as an only state variable representing the damage in each Gauss point of every layer of the laminate. The strain energy and critical energy release rate criterion is also used to predict the damage initiation and evolution in each layer. A finite element discretization is used in conjunction with the user element definition capability of ABAQUS commercial software. To verify the developed procedure, a single element is analysed, and the obtained results are compared with available results in the literature. Progressive damage analyses are also performed for several symmetric cross‐ply laminates with and without geometry discontinuity subjected to matrix cracking damage mechanism under in‐plane loading conditions. The obtained mechanical response and variations of matrix crack density versus the applied load are also discussed.     

Analysis of stiffness loss in cross-ply composite laminates

The behaviour of laminated composite plates beyond first-ply failure has been the subject of much research work. It is well known that generally, the load-bearing capability of laminated composite plates can remain significant despite the presence of some damage in the plies. Traditionally, the ply-discount method has been used among analysts and designers, although the approach is generally regarded as too conservative. It is therefore desirable to develop models for the prediction of the mechanical properties of damaged composite laminates at various applied loads, and to be able to correlate the changes in properties with the amount of damage and cracking within each constituent ply. Generally, if the models are to be useful as predictive tools, they must be capable of not only sufficiently describing the damage state but also the nature of the damage evolution with loading. This ‘evolution law’ is often obtained through fracture analysis, although it should be noted that the diffused nature of cracks and the multiplicity of failure modes in composites in general greatly complicates the analysis. The problem of transverse matrix cracking in cross-ply laminates under uniaxial tension is considerably simpler because it is essentially dominated by mode I fracture. Thus it is necessarily the first step for any model aiming to predict stiffness losses in composite laminates. In this paper, a constitutive model of the damage state for composite laminates, first proposed by Allen et al., is used with a damage evolution criterion based on strain energy to predict the stiffness loss due to matrix cracking in cross-ply laminated composite plates. Although the constitutive model does not require the determination of many constants, the state of damage is described by a vector of internal state variables (ISV), which contains information on the crack geometry and fracture modes. A series of parametric finite element analyses was performed to determine the effects of relative ply thicknesses, crack density and crack opening profile on the vector of ISVs. A computer algorithm was written for the analysis of cross-ply laminates based on the damage evolution criterion proposed in this work. The results of the analysis compare favourably with experimental measurements of progressive stiffness loss in damaged cross-ply graphite-epoxy laminates obtained from other researchers.     

Characteristics of fatigue crack growth in GFRP laminates

Multiple fatigue crack growth behaviour has been studied in quasi-isotropic GFRP laminates under constant amplitude fatigue loading conditions. Characteristics of fatigue crack growth in off-axis plies have been described and comparisons have been made between quasi-static and fatigue crack growth behaviour. Careful monitoring of individual fatigue cracks reveals three distinct stages of crack growth including initiation, steady-state crack growth (SSCG) and crack interaction and saturation. Stress redistribution due to matrix cracking and the associated stiffness reduction have been simulated using finite element models. Strain energy release rates associated with the off-axis matrix cracking have also been obtained and correlated with the measured fatigue crack growth rates.     

Effect of Thermo-Mechanical Gradient on the Damage Mechanisms of Composite Laminates

The main purpose of this work is to characterize and discriminate the respective roles of the thermo-mechanical gradient in the damage mechanisms of composite laminates used in aeronautics in order to understand the initiation and evolution of damage modes. For this purpose, a finite element model of compact tension specimen with a series of virtual crack closure techniques is achieved in order to evaluate the energy release rate of transverse matrix cracking in composites. The continuum mechanics approach in combination with Hashin’s damage criterion is adopted to describe initiation and evolution for each damage mode proposed for carbon/epoxy laminates. The good agreement between the numerical results and experiments in other available literature shows the validation of the analysis and developed model in this paper.     

Damage detection of surface cracks in composite laminates using modal analysis and strain energy method

This paper presents an approach to detect surface cracks in various composite laminates. Carbon/epoxy composite AS4/PEEK was used to fabricate laminated plates, [0]₁₆, [90]₁₆, [(0/90)₄]_S and [±45/0/90]_2S. Surface crack damage was created on one side of the plate using a laser cutting machine. Modal analysis was performed to obtain the mode shapes from both experimental and finite element analysis results. The mode shapes were then used to calculate strain energy using the differential quadrature method (DQM). Consequently, the strain energies of laminated plates before and after damaged were used to define a damage index which successfully identified the surface crack location.     

A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross‐ply composite laminates

The present study focuses on a computational constitutive model which predicts the matrix cracking evolution and fibre breakage in cross‐ply composite laminates with open hole under in‐plane loading. To consider the effects of matrix cracking on the nonlinear response of laminates, a simplified crack density based model is applied which evaluates the representative damage parameters of matrix cracking. Furthermore, a developed subroutine based on continuum damage mechanics concepts is applied in ANSYS code which is capable to consider the transverse cracking/splitting evolution and predict the final failure load of mentioned laminate under monotonic loading in a progressive damage analyses. It is shown that the obtained stress–strain behaviours and the damage evaluation of considered laminates are in good agreement with the available experimental results.