考虑制造因素的变刚度层合板的抗屈曲铺层优化设计

与常规层合板相比,变刚度层合板的制造、有限元建模分析和铺层设计有其特殊之处。首先对设计时需考虑的制造因素进行了归纳,提出了变刚度层合板的铺层设计要求。然后给出了变刚度层合板的理想模型和考虑丝束宽度模型的建模方法。基于理想模型对ABAQUS的前处理模块进行二次开发,利用编制的参数化建模程序分析了不同铺放角的变刚度层合板的屈曲性能,并讨论了最小曲率半径对铺层的限制和变刚度设计提高屈曲载荷的机制。基于变刚度层合板的抗屈曲机制建立了一种铺层优化设计方法,使用遗传算法经两步优化得到最优铺层。对最优铺层建立考虑丝束宽度的模型以研究丝束宽度和铺层偏移对变刚度层合板抗屈曲铺层优化结果的影响。研究表明,在变刚度层合板的抗屈曲铺层优化中使用简化的理想模型通常来说是可行的。在考虑制造因素的情况下,优化后的变刚度层合板较常规层合板屈曲载荷有显著提高。     

铺层方式对CFRP-Al单搭接接头胶接性能的影响

使用热压罐制备[45/-45]_4s、[0/90]_4s和[0/45/-45/90]_2s三种铺层方式的CFRP层合板,然后在室温下与Al胶接制备出单搭接试样。使用电子万能试验机、数字图像相关法(DIC)和扫描电子显微镜(SEM)等手段测量胶接接头的拉伸载荷-位移曲线和应变分布并观察断口形貌。基于试验数据分析不同铺层方式下CFRP-Al单搭接接头的拉伸性能,研究了铺层方式对CFRP-Al单搭接接头胶接性能的影响和铺层方式胶接接头的破坏机制。结果表明,在拉伸过程中[45/-45]_4s试样出现塑性变形阶段其拉伸位移最大,而[0/45/-45/90]_2s和[0/90]_4s试样的拉伸位移较小且发生了脆性断裂。铺层方式从[45/-45]_4s到[0/45/-45/90]_2s再到[0/90]_4s,试样的极限载荷和纤维束断裂数量增加、层间剪切力减小、应变集中程度和分层破坏程度降低。     

复合载荷作用变刚度复合材料回转壳屈曲优化

通过曲线纤维轨迹设计,变刚度复合材料回转壳将拥有比常刚度（直线纤维）回转壳更好的抗屈曲稳定性,为此,研究了复合载荷作用下曲线纤维铺层形式和几何参数对变刚度复合材料回转壳屈曲性能的影响规律。首先根据回转壳横截面圆弧变化改进曲线纤维角度线性描述方法,建立了变刚度复合材料回转壳的参数化有限元模型;其次,结合序列二次响应面方法和回转壳屈曲优化模型,搭建了复合材料回转壳曲线纤维轨迹优化的设计流程;最后,以准各向同性铺层复合材料回转壳为比较基准,对弯扭载荷作用变刚度圆柱壳和轴压、弯矩和扭矩分别作用变刚度椭圆柱壳在不同铺层方式、不同几何参数下的屈曲性能进行了优化比较。结果表明:弯扭载荷作用下,变刚度圆柱壳的屈曲性能随弯矩载荷占比增加而提高,且均好于准各向同性圆柱壳,但扭矩载荷占优时,优化常刚度圆柱壳的屈曲性能更具有优势;不同载荷作用下,具有较小截面方向比的变刚度椭圆柱壳屈曲性能要明显好于对应的准各向同性椭圆柱壳,且横截面越接近圆形,曲线纤维对椭圆柱壳屈曲性能的改善越弱。      

面内线性变化载荷作用复合材料层合板的振动与屈曲优化

采用广义微分求积（GDQ）法开展了不同边界条件下承受面内线性变化载荷作用复合材料层合板振动与屈曲的分析与优化。针对GDQ法求解面内线性变化载荷工况复合材料层合板屈曲问题存在计算振荡、不收敛现象,提出载荷扰动策略实现了GDQ法对复合材料层合板屈曲问题的稳定高效求解。基于基础圆频率和临界屈曲载荷系数的归一化指标,分析了铺层角度对复合材料层合板综合性能的影响,并结合直接搜索模拟退火算法开展了复合材料层合板的铺层顺序优化。结果表明:铺层角度变化对屈曲性能的影响明显强于频率特性;面内线性变化载荷中,以弯曲载荷作用下复合材料层合板的优化综合性能受边界条件变化的影响最小,而优化铺层角度受边界条件变化的影响最大。研究结果为复杂载荷作用下复合材料层合板的设计提供了参考。      

铺层方式对CFRP-铝合金单搭接胶接接头低速冲击损伤及剩余拉伸性能的影响

采用热压罐成型方法制备铺层方式为[+45/-45]_4s、[0/+45/-45/90]_2s和[0/90]_4s的碳纤维复合材料层合板,通过胶黏剂与铝合金板进行粘接获得异质材料单搭接胶接接头。利用落锤冲击试验机和万能电子试验机分别对三种接头进行低速冲击与冲击后静态拉伸测试,获得接头接触力-时间曲线和拉伸强度。通过CT扫描技术和数字图像相关(DIC)方法表征接头冲击损伤模式及表面应变演化过程,研究了铺层方式对接头抗冲击性能、冲击损伤模式以及剩余拉伸性能的影响。结果表明,复合材料铺层方式为[+45/-45]_4s时,接头在冲击载荷作用下具有较高的抗冲击性能,但胶层界面脱粘损伤较为严重。与胶层界面脱粘相比,接头剩余强度对层合板分层损伤更为敏感。相较于[+45/-45]_4s,[0/+45/-45/90]_2s和[0/90]_4s铺层方式接头的胶层界面脱粘范围与冲击后失效载荷退化程度较小,同时接头冲击后拉伸载荷主要集中于临近胶层的0°铺层且失效模式较为复杂...     

Bezier曲线变角度层合板设计及屈曲特性分析

基于二次Bezier曲线法,开展纤维变角度层合板的屈曲特性研究。首先,对原始的二次Bezier曲线进行了扩展,提出了分段式二次Bezier曲线变化方法,重新定义了纤维变角度铺放参考路径,确定了变角度层合板的表示形式。其次,以[0±20(β)65]_(2s)和[90±20(β)65]_(2s)为例对变角度层合板的屈曲特性进行了有限元分析,并与定角度层合板对比。最后,研究了不同终止角α和连接点参数β对层合板屈曲性能的影响,结果表明:连接点参数β的增大使得两种变刚度层合板的线性屈曲载荷先增大后减小,终止角大于起始角时,层合板的一阶屈曲载荷逐渐增大,铺放角度的增大有利于层合板屈曲载荷的提高。     

丝束变角度层合板屈曲性能的有限元分析

连续丝束剪切（CTS）作为一种新的丝束变角度（VAT）铺放技术,能克服传统的自动铺丝技术（AFP）的诸多缺陷。鉴于此,分别采用CTS和AFP这2种技术铺设而成的VAF层合板为研究对象,对其屈曲性能进行了有限元分析;在施加相同端部轴向位移的条件下,以铺层顺序[90±<0|75>]_4s为例,对比分析了2种层合板的内力分布;最后,讨论了丝束最小转弯半径对2种铺放技术的影响。结果表明：CTS层合板因其变厚度的特性,其屈曲性能优于AFP层合板;与AFP技术受制于最小转弯半径,导致其在小尺寸结构中的应用受到限制相比,CTS技术适用于各种尺寸的层合板。     

外突褶皱及其打磨处理对层合板压缩失效行为影响

评估打磨处理对含外突褶皱结构承载能力的影响，是开展复合材料制造质量评定与制定装配策略的重要依据。本文采用实验与数值模拟相结合的方法研究了外突褶皱及打磨处理对层合板压缩失效行为的影响。实验方面，借助数字图像DIC技术监测加载过程表面应变分布，采用电子显微相机捕捉损伤过程，分析试样的压缩承载行为和破坏模式。数值模拟方面，采用Hashin失效准则与内聚力方法构建高保真度含褶皱层合板层内/层间失效分析有限元模型，探讨含外突褶皱及打磨褶皱层合板的应力分布特征及失效机制并分析褶皱高度对层合板压缩强度影响。结果表明：外突褶皱降低层合板压缩承载能力，而打磨处理会进一步降低层合板的承载能力与刚度。本文所建立的数值模型与实验结果吻合较好。对于外突褶皱层合板，层合板向褶皱凸起一侧屈曲，褶皱上方发生分层损伤并向端部扩展，纤维损伤从褶皱下侧铺层波谷处向其他层扩展；对于打磨褶皱层合板，主层板向褶皱凸起的相反方向屈曲，首先在打磨断层处发生面外拱起分层损伤，随后褶皱上方纤维层发生拱起断裂，纤维损伤向其他层扩展。随外突褶皱高度的增加，含褶皱层合板及打磨褶皱层合板的压缩失效载荷均显著降低。以上研究可为含外突褶皱复合材料结...     

变刚度复合材料平板与开孔板屈曲性能试验验证与数值仿真

为验证基于丝束曲线铺放的变刚度设计在改善典型航空结构屈曲性能中的应用潜力,设计并制造了变刚度复合材料平板和开孔板试件。通过应变片和非接触式三维光学测量系统,全面地测量了试件受单轴压缩载荷过程中的面外位移和载荷方向应变。试验结果表明：变刚度平板和开孔板较同构型直线铺层试件屈曲载荷分别提升53.4%和46.6%;试件力学响应相似,均为线性加载至屈曲载荷后刚度大幅折减,变刚度试件后屈曲阶段呈近似线性,而直线铺层试件则连续变化。根据试验方案细化了数值模型,屈曲载荷、面外位移及应变的计算结果与试验结果基本吻合。在此基础上,提取了数值模型中的刚度分布和加载截面载荷分布,阐明了变刚度设计的抗屈曲机制。对于本文试件,采用变刚度设计还可显著提高破坏载荷,并降低侧边载荷,缓解应力集中。     

对称层合板复合材料的屈曲变形解析

提出了如何利用2 元多项式位移函数来分析层合板复合材料的屈曲问题。在解析中同时 考虑到层合板的面外剪切变形。解析表明屈曲载荷在多项式项数大于20 以上时趋于稳定, 可得到 高精度的解。本文并对对称角铺设层合板进行了系统地数值解析, 明确了在各种边界拘束条件下 材料的工程弹性系数, 层合板长宽比, 铺层数, 层合角对屈曲载荷的影响, 从而以达到优化设计。同 时, 验证了本解析法对任意边界条件下的层合板的屈曲解析是非常有效的。      

Gaussian function characterization of unnotched tension behavior in a carbon/epoxy composite containing localized fiber waviness

This study presents the results of analytical and experimental efforts performed on the tension behavior of a common aerospace grade carbon fiber/epoxy material system containing out-of-plane fiber waviness. The composite material selected for this study is one designated by the Federal Aviation Administration’s Advanced General Aviation Transportation Experiments program for use in aerospace structural applications. Unidirectional and multidirectional laminates were examined with different thicknesses containing three levels of waviness. The waviness morphology considered in this study is a ‘degrading’ type waviness, where a relatively sharp wave occurs on the first ply and is completely diminished at the other laminate face. To determine analytically the tensile stiffness, a Gaussian function is introduced to characterize the waviness observed and is used in a transformation-based classical lamination theory approach. The tension failure behavior is also reported for the waviness specimens tested.     

Surrogate-based multi-objective optimization of a composite laminate with curvilinear fibers

A variable stiffness design can increase the structural performance of a composite plate and provides flexibility for trade-offs between structural properties. In this paper, we examine the simultaneous optimization of stiffness and buckling load of a composite laminate plate with curvilinear fiber paths. The problem, which falls in the area of multi-objective optimization, is formulated and solved through a surrogate-based optimization algorithm capable of finding the set of optimum Pareto solutions. We integrate surrogate modeling into an evolutionary algorithm to reduce the high computational cost required to solve the optimization process. The results show that a curvilinear fiber path can increase both buckling load and stiffness simultaneously over the quasi-isotropic laminate. Furthermore, the optimum direction for varying the fiber angle is dependent on the loading direction and boundary conditions. The results for a plate under uniform compression with free transverse edges shows that varying the fiber orientation perpendicular to the loading direction can increase the buckling load by 116% with respect to that of a quasi-isotropic laminate.     

基于断裂韧性预报复合材料层合板的开孔拉伸强度

开孔层合板的强度预报往往取决于孔边的临界长度,它不仅与材料性能,而且与铺层、孔径都有关。本文基于线弹性断裂力学,提出了一种预报对称铺层层合板开孔拉伸强度的新方法,只需提供正交层合板的断裂韧性和无缺口层合板的拉伸强度,显著降低对实验数据的依赖性。首先,将临界长度表作为层合板断裂韧性和无缺口拉伸强度的函数,再通过正交层合板[90/0]_8s的紧凑拉伸试验和虚拟裂纹闭合技术,确定出0°层断裂韧性,进而计算得到任意对称铺层层合板的断裂韧性。本文测试了T300/7901层合板[0/±45/90]_2s和[0/±30/±60/90]_s的开孔拉伸强度,孔径分别为3 mm、6 mm和9 mm。理论预报结果与试验值吻合较好,最大误差为15.2%,满足工程应用需求。      

Optimal design of variable fiber spacing composites for morphing aircraft skins

Morphing aircraft concepts aim to enhance the aircraft performance over multiple missions by designing time variant wing configurations. The morphing concepts require wing skins that are flexible enough to allow large in-plane stretching and high bending stiffness to resist the aerodynamic loads. In this study, an optimization problem is formed to enhance the in-plane flexibility and bending stiffness of wing skins made of composite laminate. Initially, the optimal fiber and elastomer materials for highly flexible fiber reinforced elastomer laminates are studied using materials available in the literature. The minor Poisson’s ratio of the laminate is almost zero for all the fiber and elastomer combinations. In the next stage, the effects of boundary conditions and aspect ratio on the out-of-plane deflection of the laminate are studied. Finally, an optimization is performed to minimize the in-plane stiffness and maximize the bending stiffness by spatially varying the volume fraction of fibers of a laminate. The optimization results show that the in-plane flexibility and bending stiffness of the laminate with a variable fiber distribution is 30–40% higher than for the uniform fiber distribution.     

Influence of the prebuckling stress-field on the critical loads of inhomogeneous composite laminates

The paper studies the uniaxial buckling behavior of composite laminates in which preselected variations of fiber spacing in the constituent laminae are adopted. Such laminates are referred to as inhomogeneous laminates because of the variable elastic stiffness along the coordinate axes. A non-uniform prebuckling stress state observed even under constant uniaxial compression has a pronounced influence on the buckling behaviour of an inhomogeneous laminate. A procedure is summarized for computing the critical load of a laminate using the Ritz method which exploits an analogy between the bending and stretching formulations and utilizes Gram-Schmidt orthogonal polynomials. The paper illustrates that the variation in fiber spacing is an innovative way of increasing the critical load for a prescribed amount of fiber and highlights its remarkable sensitivity to the nature of fiber spacing, in-plane and out-of-plane boundary conditions, fiber type and the aspect ratio of the laminate.     

变角度纤维层合板的弯曲问题研究

变角度纤维层合板是一种新型的变刚度结构,该文将对其弯曲问题进行研究。假定每层的纤维方向角沿板的长度方向按照线性变化,基于经典层合板理论,导出了变角度纤维层合板弯曲问题的控制方程,采用有限元线法进行求解,获得了任意边界条件下变角度纤维层合板弯曲问题的数值解。与ABAQUS有限元计算结果的对比,验证了该文采用有限元线法的正确性。通过数值算例分析了边界条件、铺层方式、纤维方向角以及长宽比等参数的变化对变角度纤维层合板弯曲性能的影响。研究结果可为变角度纤维层合板的设计提供一定的参考。     

含纤维波纹缺陷复合材料层合板的损伤分析

纤维波纹是复合材料层合板制备过程中的一种常见缺陷,会导致其刚度和强度显著下降,有效地预测含波纹缺陷复合材料层合板的失效强度具有显著的意义。基于此,本文采用解析的方式分别构造了纤维波纹呈正弦起伏与余弦起伏状的复合材料层合板模型。利用该模型,以Tsai-Wu准则作为失效判据,研究了一种含纤维波纹的碳纤维/环氧树脂复合材料层合板在受压情况下的损伤演化过程,得到了碳纤维/环氧树脂复合材料层合板的初始损伤强度。与有限元方法计算得到的损伤位置和损伤强度非常吻合,验证了本文算法的正确性。另外,相比于有限元方法,本文所述计算方法具有模型构造简单、计算效率高等优点,便于快速分析和确定含纤维波纹缺陷复合材料层合板的损伤位置与损伤强度。      

The mechanical behavior of optical fiber sensor embedded within the composite laminate

Mechanical behavior, such as tensile and fatigue strength, of the optical fiber sensor embedded within the composite laminate was investigated. Tensile and fatigue tests were performed to evaluate the static and fatigue characteristics of optical fibers embedded within three types of laminated composite specimens, [0₆/OF/0₆]_T, [0₂/90₄/OF/90₄/0₂]_T and [0₃/90₃/OF/90₃/0₃]_T. The initiation of damage and fracture of the optical fiber were detected by observation of the intensity drop-off of laser signal transmitted through the optical fiber during test. Experimental results showed that the fatigue strength of optical fiber embedded within the cross-ply laminate is much lower than the fatigue strength of optical fiber within the unidirectional ply laminate. It was also found that the optical fiber embedded within unidirectional ply laminate fractured due to the fatigue damage accumulation of internal defects of optical fiber itself. However the optical fiber embedded within the cross-ply laminate fractured due to the growth of transverse matrix crack of host composite laminate.     

An Experimental Study of the Influence of in-Plane Fiber Waviness on Unidirectional Laminates Tensile Properties

As one of the most common process induced defects of automated fiber placement, in-plane fiber waviness and its influences on mechanical properties of fiber reinforced composite lack experimental studies. In this paper, a new approach to prepare the test specimen with in-plane fiber waviness is proposed in consideration of the mismatch between the current test standard and actual fiber trajectory. Based on the generation mechanism of in-plane fiber waviness during automated fiber placement, the magnitude of in-plane fiber waviness is characterized by axial compressive strain of prepreg tow. The elastic constants and tensile strength of unidirectional laminates with in-plane fiber waviness are calculated by off-axis and maximum stress theory. Experimental results show that the tensile properties infade dramatically with increasing magnitude of the waviness, in good agreement with theoretical analyses. When prepreg tow compressive strain reaches 1.2%, the longitudinal tensile modulus and strength of unidirectional laminate decreased by 25.5% and 57.7%, respectively.