CFRP复合材料螺栓连接失效载荷不确定性的评估方法

螺栓连接是先进复合材料结构的薄弱环节。因此,螺栓连接力学性能显著的不确定性不仅阻碍了先进复合材料的高效应用,且给整体结构的安全性和可靠性带来威胁。为定量评估碳纤维增强树脂(CFRP)复合材料螺栓连接失效载荷的不确定性,将数值的渐进损伤模型和区间分析方法结合,提出了一种高效、准确的分析方法。采用该方法预测了典型T800碳纤维/X850环氧树脂复合材料螺栓连接失效载荷的不确定性,并与试验结果进行对比。预测结果与试验结果的误差不超过2%,证明本文所提出方法的有效性。采用本文所提方法预测的T800碳纤维/X850环氧树脂复合材料螺栓连接失效载荷的区间为[19.25 kN, 22.75 kN],与设计期望值的偏差为[?9.8%, 6.6%]。      

An analytical model for the prediction of load distribution in highly torqued multi-bolt composite joints

This paper presents the development of an enhanced analytical approach for modelling the load distribution in multi-bolt composite joints. The model is a closed-form extension of a spring-based method, where bolts and laminates are represented by a series of springs and masses. The enhancement accounts for static friction effects between the laminates, a primary mechanism of load transfer in highly torqued bolted joints. The method is validated against detailed three-dimensional finite element models and where possible, experimental results. The effect of varying bolt-torque and bolt-hole clearance on the load distribution in a three-bolt, single-lap joint is investigated and the method proves to be robust, accurate and highly efficient. Finally, the method is employed in a parameter study, where increasing bolt torque levels can be used for achieving a more even load distribution in multi-bolt joints.     

A Stacked-Shell Finite Element Approach for Modelling a Dynamically Loaded Composite Bolted Joint Under in-Plane Bearing Loads

This paper presents the results of a study into a novel application of the “stacked-shell” laminate modelling approach to dynamically loaded bolted composite joints using the explicit finite element code PAM-CRASH. The stacked-shell approach provides medium-high fidelity resolution of the key joint failure modes, but is computationally much more efficient than full 3D modelling. For this work, a countersunk bolt in a composite laminate under in-plane bearing loading was considered. The models were able to predict the onset of damage, failure modes and the ultimate load of the joint. It was determined that improved debris models are required in order to accurately capture the progressive bearing damage after the onset of joint failure.     

A global bolted joint model for finite element analysis of load distributions in multi-bolt composite joints

This paper presents the development and validation of a global bolted joint model (GBJM), a highly efficient modelling strategy for bolted composite joints. Shell elements are used to model the composite laminates and the bolt is represented by a combination of beam elements coupled to rigid contact surfaces. The GBJM can capture effects such as bolt–hole clearance, bolt-torque, friction between laminates, secondary and tertiary bending in the laminates as well as the load distribution in multi-bolt joints. The GBJM is validated using both three-dimensional finite element models and experiments on both single- and multi-bolt joints. The GBJM was found to be robust, accurate and highly efficient, with time savings of up to 97% realised over full three-dimensional finite element models.     

Strength prediction in CFRP woven laminate bolted double-lap joints under quasi-static loading using XFEM

The current paper is concerned with modelling damage and fracture in woven fabric composite double-lap bolted joints that fail by net-tension. A 3-D finite element model is used, which incorporates bolt clamp-up, to model a range of CFRP bolted joints, which were also tested experimentally. The effects of laminate lay-up, joint geometry, hole size and bolt clamp-up torque were considered. An Extended Finite Element (XFEM) approach is used to simulate damage growth, with traction–separation parameters that are based on previously reported, independent experimental measurements for the strength and toughness of the woven fabric materials under investigation. Good agreement between the predicted and measured bearing stress at failure was obtained.     

Progressive damage and failure of mechanically fastened joints in CFRP laminates – Part II: Failure prediction of an industrial junction

In part II of this study, a methodology is presented to compute the failure of large-scale bolted joints in composite structures. This methodology is based both on a multilevel calculation strategy and on virtual testing. At the global level, coarse FE modelling of the structure is used to assess the load distribution between the fasteners. The most loaded fasteners are identified and the loads issued from the global calculation are used as boundary conditions for the local failure analysis, based on fast semi-empirical models. Nevertheless, in this work, instead of using experimental data, prevision of failure is achieved by fully numerical means. The parameters of the semi-empirical models are evaluated by virtual testing, using the refined FE model proposed in part I of this paper.     

A novel predictive model for mechanical behavior of single-lap GFRP composite bolted joint under static and dynamic loading

Mechanical connection of composite is critical due to its complicated meso-structure and failure mode, which has become a bottleneck on reliability of composite material and structure. Although many researches on composite bolted joints have been carried out, the theory and experiment on mechanical behavior of such a joint structure under dynamic loading were rarely reported. Here, we propose a novel predictive model for quasi-static and dynamic stiffness of composite bolted joint by introducing the strain rate dependent elastic modulus into the mass spring model. Combined with the composite laminate theory and Tsai-Hill theory, the present model was capable of predicting the strain rate dependent stiffness and strength of the composite bolted joint. Quasi-static and impact loading experiments were carried out by Zwick universal hydraulic testing machine and split Hopkinson tension bar, respectively. The stiffness and strength predicted by our model showed good accordance with the experiment data with errors below 12% under quasi-static loading and below 30% under impact loading. The results indicated that under impact loading, stiffness and strength of the composite bolted joint were significantly higher than their quasi-static counterparts, while the failure mode of the joint structure trended towards localization which was mainly bearing failure. Among various lay-up ratios studied, the optimal lay-up ratio for quasi-static and dynamic stiffness was 0:±45:90 = 3:1:1.     

三维六向编织复合材料单剪搭接连接结构在拉伸载荷下的力学性能

通过试验测试与数值模拟相结合的方法对三维六向编织复合材料的螺栓连接性能进行了研究。首先,通过拉伸试验对不同侧向约束螺接方式连接件的连接强度进行了测试。测试结果表明:单搭连接结构的二次弯曲现象明显,连接强度与侧向约束有一定的关系,使用垫片可有效提高连接强度,螺栓拧紧力矩增加对连接强度影响不大;连接结构的破坏模式包括挤压破坏和拉伸破坏,在孔径较小时其主导破坏模式是挤压破坏。随后,基于测试中发现的破坏模式,建立了基于点应力准则的分析模型,并使用升温法实现螺栓拧紧力矩的施加。通过数值结果与试验结果的比较验证了分析模型的可靠性。最后,利用得到验证的分析模型,分析了单搭连接的二次弯曲现象,获得了侧向约束面积、螺栓拧紧力矩及连接平板厚度对单搭单螺栓连接结构力学性能的影响规律。分析结果表明:当侧向约束应力增加时,连接强度表现为先增加后降低的规律。     

Strength calculation of composite single lap joints with Fiber-Tear-Failure

The Fiber-Tear-Failure (FTF) is a common mode of failure in the adhesively bonded single lap joint having continuous fiber reinforced composite. Within single lap joints, presence of material and geometric discontinuities restrict the applicability of strength of material based approach for failure load prediction. Zone based approach appears promising in tackling discontinuity issues provided the right failure criterion and critical zone size are known. In this paper, a right failure prediction criterion is identified that can be used for the Fiber-Tear-Failure load prediction using zone based approach. Using a carbon fiber composite and an epoxy paste adhesive, failure modes were generated experimentally using different dimensions of lap joints. Several stress/strain based failure criteria for composite were tested. Critical zone size was calculated by performing the finite element analysis on a single lap joint with known failure load. For other joints, failure loads were calculated by adjusting the input loads in the analysis such that the failed zone size became the same as the critical zone size. The result reveals that Azzi–Tsai (Norris) criterion is capable of predicting failure loads of single lap joints with FTF.     

Static and high-rate loading of single and multi-bolt carbon–epoxy aircraft fuselage joints

Single-lap shear behaviour of carbon–epoxy composite bolted aircraft fuselage joints at quasi-static and dynamic (5 m/s and 10 m/s) loading speeds is studied experimentally. Single and multi-bolt joints with countersunk fasteners were tested. The initial joint failure mode was bearing, while final failure was either due to fastener pull-through or fastener fracture at a thread. Much less hole bearing damage, and hence energy absorption, occurred when the fastener(s) fractured at a thread, which occurred most frequently in thick joints and in quasi-static tests. Fastener failure thus requires special consideration in designing crashworthy fastened composite structures; if it can be delayed, energy absorption is greater. A correlation between energy absorption in multi-bolt and single-bolt joint tests indicates potential to downsize future test programmes. Tapering a thin fuselage panel layup to a thicker layup at the countersunk hole proved highly effective in achieving satisfactory joint strength and energy absorption.     

Subcritical damage mechanisms of bolted joints in CFRP composite laminates

A detailed experimental programme is presented that was conducted in order to establish a data base for strength and subcritical damage mechanisms of bolted joints in CFRP composite laminates. Single fastener double-shear tensile tests for various joint geometries were performed for a range of cross-ply and quasi-isotropic lay-ups of HTS40/977-2 CFRP material system. Penetrant enhanced X-ray radiography was used to define the subcritical damage locations which are of great importance when modelling the failure response of the joints. It is suggested that the subcritical damage planes can be modelled using cohesive zone elements (CZEs) in order to develop physically based strength prediction methods for bolted joints in CFRP laminates.     

Progressive failure analysis of bolted single-lap composite joint based on extended finite element method

In this paper, extend finite element method (XFEM) is used to predict the failure of single-lap bolted joints. To simplify calculation of XFEM model, composite laminates of joint are modeled using linear elastic properties. Three-dimensional equivalent material properties are calculated by the MATLAB code written by author. Progressive failure of bolted single-lap composite joint is investigated, and the failure load of joint simulated by XFEM is compared with experiments in literature. Then the influences of geometric parameters on failure load of one bolt single-lap composite joint are studied. Two geometric parameters include plate width-to-hole diameter ratio (W/D) and the edge-to-hole diameter ratio (E/D). At last the failure of single-lap joints with one bolt and two bolts are compared.     

液体垫片对复合材料单搭接螺栓接头力学性能的影响

复合材料构件由于存在制造误差,装配时常常产生间隙,消除间隙的一种基本手段是向其中填充液体垫片。以复合材料单搭接螺栓连接接头为研究对象,设计了拉伸实验,选取一种改进的失效准则与对应的材料退化准则建立了渐进损伤有限元分析（FEA）模型,在此基础上研究了液体垫片对复合材料单搭接接头强度、刚度等力学性能的影响及复合材料孔内损伤演化的过程,此外还研究了液体垫片孔边的应力-应变状态。由实验与有限元结果可以得出：随着液体垫片厚度的增加,接头的拉伸刚度与峰值载荷均有所降低;相同载荷下复合材料孔内损伤加剧,孔内单元产生初始损伤时对应的载荷降低;但液体垫片厚度的增加可以降低垫片孔边的应力与塑性应变峰值,并使其分布更加均匀化,改善液体垫片孔边受力状态。     

Effect of clamping force on the delamination onset and growth in bolted composite laminates

Clamping force is a key element that alters the mechanism and sequence of failure in bolted joints of composite laminates. The mode of failure in bolted joints can be controlled by geometrical parameters and the preferred fail safe mode of failure is ‘bearing’ which generally consists of matrix cracks, delamination and fibre microbuckling. Three-dimensional (3-D) pinned (without clamping force) and bolted (1 kN clamping force) joint models were developed in [0/90]_s carbon fibre reinforced plastic (CFRP) laminates to show the clamping force effect on the onset and growth of delamination. It is shown that delamination was resulted from the shear stress components (Mode II & III) at the interface and the contribution of the out-of-plane component (Mode I - opening), so the clamping force, was negligible without modelling the in-plane failure modes and their coupling with delamination, which will be considered in future work.     

GBJM方法的改进及其在含钉群复合材料结构钉载分配和承载能力分析中的应用

为了分析含钉群复合材料结构的钉载分配及承载能力问题,首先对Globle Bolted Joint Model(GBJM)方法进行了改进,然后采用改进的方法对复合材料多钉连接结构的钉载分配和承载能力进行了预测,并与试验结果进行了比较。结果表明:当孔边复合材料未出现损伤时,该方法对多钉载荷分配的预测和试验结果比较接近;而对结构承载能力的预测,该方法偏于保守,比试验结果约低15%。同时该方法具有两个显著优点:一是计算结构钉载分配时效率高,和三维有限元模型相比提高约75%;二是能够对含钉群复合材料结构的失效载荷进行有效的预测。     

Experimental and numerical investigation of composite bolted π-joint subjected to bending load

This present work investigated the failure mechanism of a novel composite bolted π-joint subjected to bending load by experimental and finite element simulation. A test sample manufactured by resin transfer moulding process (RTM) was tested. A 3D progressive damage model developed in ABAQUS/Standard was used to simulate the failure of the π-joint. Based on good correlation of failure load and damage distribution between experimental results and FE prediction, further investigation was extended to the effect of two primary assembly clearances on mechanical behavior of the π-joint. The study results reveal that delamination of the fillet region in L-preform is the π-joint's failure mode. Moreover, the assembly clearances have little effect on the failure load of the joint.     

基于渐进损伤分析的复合材料螺栓连接强度包线法研究

针对中国民机采用T800级复合材料这一新材料体系而基础数据匮乏的现状,采用渐进损伤分析(PDA)替代试验以显著降低研究周期和成本。综合渐进损伤方法和工程算法各自的优点,提出以渐进损伤分析替代应力集中减缓因子(SCRFs)测定试验,进而建立强度包线,并进行多钉连接强度预测的数值策略。为验证该数值策略的可行性,针对典型铺层应力集中减缓因子,测定试样,并开展渐进损伤分析,获得了试验件强度预测值来计算应力集中减缓因子,采用旁路载荷修正的强度包线法,绘制了典型铺层复合材料多钉连接旁路载荷修正强度包线,预测多钉连接的失效载荷,并与试验结果进行对比。结果表明:采用该数值策略预测的强度包线、多钉连接的失效载荷和失效模式均与试验结果吻合良好,证明了该数值策略的可行性。     

Mechanical Behavior of CFRP Lattice Core Sandwich Bolted Corner Joints

The lattice core sandwich structures have drawn more attention for the integration of load capacity and multifunctional applications. However, the connection of carbon fibers reinforced polymer composite (CFRP) lattice core sandwich structure hinders its application. In this paper, a typical connection of two lattice core sandwich panels, named as corner joint or L-joint, was investigated by experiment and finite element method (FEM). The mechanical behavior and failure mode of the corner joints were discussed. The results showed that the main deformation pattern and failure mode of the lattice core sandwich bolted corner joints structure were the deformation of metal connector and indentation of the face sheet in the bolt holes. The metal connectors played an important role in bolted corner joints structure. In order to save the calculation resource, a continuum model of pyramid lattice core was used to replace the exact structure. The computation results were consistent with experiment, and the maximum error was 19%. The FEM demonstrated the deflection process of the bolted corner joints structure visually. So the simplified FEM can be used for further analysis of the bolted corner joints structure in engineering.     

Hybrid CFRP/titanium bolted joints: Performance assessment and application to a spacecraft payload adaptor

This paper presents an experimental investigation of the mechanical response and the industrial manufacturability of CFRP–titanium hybrid laminates using the example of a spacecraft payload adaptor. The local hybridization with metal within a bolted joint region of composite laminates is proven to be an effective method of increasing the mechanical joint efficiency of highly loaded bolted joints. High-strength titanium foils are locally embedded into the composite laminate by means of ply substitution techniques, thus avoiding any local laminate thickening and providing for a local laminate with high bearing and shear capabilities. An extensive sample and component test program has been performed evaluating the impact of different design parameters and load conditions. The verification of the hybrid technique’s processability, inspectability and compatibility with a standard industrial fibre placement process has been successfully demonstrated through the manufacturing of a spacecraft payload adaptor featuring diverse applications of the hybridization technique.     

Mechanical property and failure mechanism of 3D Carbon–Carbon braided composites bolted joints under unidirectional tensile loading

In this paper, the mechanical property and failure mechanism of Carbon–Carbon braided composites (C–Cs) bolted joints structure subjected to unidirectional tensile load were studied by the experimental method and numerical analysis. The braided C–Cs bolted joints with the single-bolt single-lap (SBS) and double-bolt single-lap (DBS) were tested. The dominant failure modes for both C–Cs SBS and DBS joint configurations were bearing failure and net-tension. Additionally, the finite element method (FEM) was utilized to study the mechanical property and failure mechanism of the joints. The FEM results have a good agreement with the test values. Parametrics studies were implemented by finite element (FE) analysis to classify the effects of geometric parameters including the joint width (W), edge distance (e) and the bolt pitch (p) on the SBS and DBS joint configurations. It can be found that present numerical model can be used to predict the experimental mechanical behaviors and failure modes of bolted C–Cs joints with different geometric parameters and joint configurations.