Interlaminar fracture toughness of CFRP laminates with silk fibers interleave

Interlaminar fracture toughness of CFRP laminates with silk fibers interleave was evaluated in this paper. Silk fibers were obtained from silkworm cocoon. Long silk fibers were wound around a bobbin and cut into specimen size. Resin films were bonded on both sides of a sheet of silk fibers. Silk fibers with resin films were put between [0₁₂] and [0₁₂] and cured by following the curing process. Evaluation of mode I and mode II interlaminar fracture toughness was accomplished by DCB and ENF test, respectively. Mode I interlaminar fracture toughness of CFRP laminates with silk fibers interleave was 59% higher than that of CFRP. Mode II interlaminar fracture toughness of CFRP laminates with silk fibers interleave was 44% higher than that of CFRP. It seems that CFRP laminates with silk fibers interleave will be useful to structures which need high interlaminar fracture toughness.     

预测钛合金超塑成形－扩散连接(SPF/DB)界面层的断裂韧度

提出根据超塑成形－扩散连接(SPF/DB)的工艺技术参数预测扩散连接界面层断裂韧度的计算方法,并对TC4/TA2连接件,开发了相应的界面层断裂韧度的分析和预测软件系统。该计算方法首先在理论分析和试验的基础上,建立扩散连接界面层成长模型,获得扩散连接件界面层厚度的计算公式,确定材料过渡参数m的计算方法;其次对已有的混合型外载的界面断裂准则进行修正,使其适用于扩散连接件界面层断裂时能量释放率曲线的函数模型。计算结果与试验结果吻合良好。分析结果表明：在允许工艺参数范围内,扩散连接件界面断裂韧度随成形温度、成形压力和保压时间的提高而提高。其中,成形压力影响最大,然后依次为保压时间和成形温度。为了提高扩散连接界面层的断裂韧度,必须通过界面层设计来提高其界面裂尖断裂混合度,而上述各工艺技术参数,正与其裂尖断裂混合度的大小密切相关。     

A probabilistic model for the scale effect on fracture toughness of structural ceramics

The fracture toughness of polycrystalline ceramics used to present the scale effect as well as statistical distribution. It is believed that both (scale effect and scatter) must be associated with the heterogeneity of materials. However, no generally accepted theory has been established so far. Using statistical approach, a probabilistic modelling for the fracture toughness which describes the scale effect was attempted in this paper. Weibull distribution of specific fracture energy (SFE) at local area and Griffith criterion are jointly applied to the model. Finally, the fracture toughness scale dependence of ASTM E399 standard specimens was investigated by the newly developed model.     

平纹编织C/SiC复合材料层间断裂行为试验研究

通过双悬臂梁和端部切口弯曲试验分别对平纹编织C/SiC复合材料的Ⅰ型(张开型)和Ⅱ型(滑开型)层间断裂行为进行试验研究,得到该材料以临界能量释放率GⅠC和GⅡC表征的层间断裂韧度值.试验后利用光学显微镜对两组试验的试样断口进行显微观察,以分析其破坏机理.结果表明:Ⅰ型层间断裂韧度值GⅠC和Ⅱ型层间断裂韧度值GⅡC分别为(737.2±57) J/m2和(1082.7±90) J/m2;Ⅰ型开裂为层间SiC基体沿初始裂纹方向的断裂破坏;Ⅱ型开裂与Ⅰ型开裂相似,但裂纹上下表面包裹碳纤维束的SiC基体发生脱落,并且出现碳纤维束中部分碳纤维剪切破坏.     

Interface crack of two dissimilar bonded functionally graded strips with arbitrary distributed properties under plane deformations

In this paper the plane elasticity problem of two bonded dissimilar functionally graded strips containing an interface crack with material properties varying arbitrarily is studied. The governing equation in terms of Airy stress function is formulated and exact solutions are obtained for several special variations of material properties in Fourier transformation domain. A multi-layered model is employed to model arbitrary variations of material properties based on two linear-distributed material compliance parameters. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Some numerical examples are given to demonstrate the accuracy, efficiency and versatility of the model. Numerical results show that fracture behavior of materials can be greatly affected by graded variation of elastic modulus and the influence of the specific form of elastic modulus on the fracture behavior of FGM is limited.     

Effect of fiber orientation on interfacial fracture toughness for adhesively bonded composite plates

In this study, interfacial fracture toughness was investigated experimentally and numerically in laminated composite plates with different fiber reinforcement angles bonded with adhesive. The composite plates are four-layered and the layer sequence is [0º/θ]_s. DCB test was applied to composite plates reinforced with epoxy resin matrix and unidirectional carbon fiber. The experimental sample model for the DCB test was made using the ANSYS finite element package program. In the numerical study, four layered composites were prepared in three dimensions. Under critical displacement value; mode I fracture toughness at the crack tip was calculated using VCC (virtual crack closure) technique. Numerical values consistent with experimental results have presented in graphical forms. At 60o and 75° the greatest fracture toughness was obtained. In addition, numerical results have shown that fiber orientation prevents the uniform distribution of stress on the interface crack tip and causes stress accumulation, especially at the edge of the plate.

     

Experimental study and computer simulation of fracture toughness of sheet metal after laser forming

Fracture toughness is one of the most important mechanical properties for sheet metal in many applications. However not enough attention has been paid to the effects of laser forming conditions on fracture toughness of sheet metal. This paper presents an integrated fracture toughness model to study fracture toughness of sheet metal after laser forming. Microstructure, distribution of residual stresses and geometry of sheet metal specimen are considered in the model. Results of residual stress from microstructure-integrated finite element modelling of laser forming are incorporated in the model. Low carbon steel is used in this paper to validate the model. The results from the fracture toughness study are found to be consistent with microstructure analysis .     

Mechanical behavior and numerical estimation of fracture resistance of a SCS6 fiber reinforced reaction bonded S13N4 continuous fiber ceramic composite

Continuous fiber ceramic composites (CFCCs) have advantages over monolithic ceramics: Silicon Nitride composites are not well used for application because of their low fracture toughness and fracture strength, but CFCCs exhibit increased toughness for damage tolerance, and relatively high stiffness in spite of low specific weight. Thus it is important to characterize the fracture resistance and properties of new CFCCs materials. Tensile and flexural tests were carried out for mechanical properties and the fracture resistance behavior of a SCS6 fiber reinforced Si₃N₄ matrix CFCC was evaluated. The results indicated that CFCC composite exhibit a rising R curve behavior in flexural test. The fracture toughness was about 4.8 MPa m^1/2 , which resulted in a higher value of the fracture toughness because of fiber bridging. Mechanical properties as like the elastic modulus, proportional limit and the ultimate strength in a flexural test are greater than those in a tensile test. Also a numerical modeling of failure process was accomplished for a flexural test. This numerical results provided a good simulation of the cumulative fracture process of the fiber and matrix in CFCCs.     

应变法测量焊接箱形梁焊缝材料的断裂韧度

针对起重运输机械领域测量焊接箱形梁焊缝材料断裂韧度研究方法少的问题,应用断裂力学、材料力学和数值分析理论进行理论推导,得到1种测世焊接箱形梁焊缝材料断裂韧度的试验新方法--应变法,并采用该方法测量了Q235钢板制成的焊接箱形梁焊缝材料的断裂韧度,为研究焊接箱形梁的裂纹扩展、载荷限制和断裂判断问题提供良好的支持.     

A phenomenological model of ductile fracture for API X65 steel

This paper presents a phenomenological model of ductile fracture for the API X65 steel using the Gurson–Tvergaard–Needleman (GTN) model. Experimental tests and FE damage simulations using the GTN model are performed for smooth and notched tensile bars, from which the parameters in the GTN model are calibrated. Comparison of experimental data of pre-strained, notched tensile and fracture toughness tests with finite element (FE) damage analyses show good agreements, suggesting the validity of the calibrated parameters. As application, the developed GTN model is applied to predict the pre-strain effect on deformation and fracture and the results are compared with experimental data.     

Numerical Investigation on Fracture Initiation Properties of Interface Crack in Dissimilar Steel Welded Joints

Fracture toughness property is of significant importance when evaluating structural safety. The current research of fracture toughness mainly focused on crack in homogeneous material and experimental results. When the crack is located in a welded joint with high-gradient microstructure and mechanical property distribution, it becomes difficult to evaluate the fracture toughness behavior since the stress distribution may be affected by various factors. In recent years, numerical method has become an ideal approach to reveal the essence and mechanism of fracture toughness behavior. This study focuses on the crack initiation behavior and driving force at different interfaces in dissimilar steel welded joints. The stress and strain fields around the crack tip lying at the interfaces of ductile-ductile, ductile-brittle and brittle-brittle materials are analyzed by the numerical simulation. For the interface of ductile-ductile materials, the strain concentration on the softer material side is responsible for ductile fracture initiation. For the ductile-brittle interface, the shielding effect of the ductile material plays an important role in decreasing the fracture driving force on the brittle material side. In the case of brittle-brittle interface, a careful matching is required, because the strength mismatch decreases the fracture driving force in one side, whereas the driving force in another side is increased. The results are deemed to offer support for the safety assessment of welded structures.     

Improved flexural–torsional stability analysis of thin-walled composite beam and exact stiffness matrix

A simple but efficient method to evaluate the exact element stiffness matrix is newly presented in order to perform the spatially coupled stability analysis of thin-walled composite beams with symmetric and arbitrary laminations subjected to a compressive force. For this, the general bifurcation-type buckling theory of thin-walled composite beam is developed based on the energy functional, which is consistently obtained corresponding to semitangential rotations and semitangential moments. A numerical procedure is proposed by deriving a generalized eigenvalue problem associated with 14 displacement parameters, which produces both complex eigenvalues and multiple zero eigenvalues. Then the exact displacement functions are constructed by combining eigenvectors and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently exact element stiffness matrices are evaluated by applying member force–displacement relationships to these displacement functions. As a special case, the analytical solutions for buckling loads of unidirectional and cross-ply laminated composite beams with various boundary conditions are derived. Finally, the finite element procedure based on Hermitian interpolation polynomial is developed. In order to verify the accuracy and validity of this study, the numerical, analytical, and the finite element solutions using the Hermitian beam elements are presented and compared with those from ABAQUS's shell elements. The effects of fiber orientation and the Wagner effect on the coupled buckling loads are also investigated intensively.     

力学不均匀性对焊接接头动态J积分影响的实验研究

用真空电子束焊的方法建立焊接接头的“软夹硬”非均匀体模型。用示波冲击的试验方法测出试件的动态断裂韧性,用该模型研究了焊接接头的力学不均匀性对其动态J积分的影响。结果表明,裂纹位于硬区材料,断裂韧性值理接近硬区材料,与软区材料的断裂韧性值差别较大;随夹层宽度增加,断裂韧性值减小,夹层宽度到某一值时,断裂韧性值趋于稳定。     

基于瑞利-里兹法的低翅片管固有频率数值解

针对低翅片管几何形状复杂,质量和刚度分布不均匀,振动特征值不能有封闭解的问题,采用瑞利-里兹法对低翅片管的固有频率进行了数值研究,获得了低翅片管弯曲振动固有频率的数值计算模型。对于一定规格的低翅片管,应用该数值计算模型可求得其各阶固有频率的数值解。采用共振法测试了低翅片管的固有频率,前三阶固有频率的数值解与实测值相比,误差范围为-3.28%--3.51%。该数值计算模型可用于低翅片管固有频率的求解。     

Fatigue Crack Growth Rate of Ti-6Al-4V Considering the Effects of Fracture Toughness and Crack Closure

Fatigue fracture is one of the main failure modes of Ti-6A1-4V alloy,fracture toughness and crack closure have strong effects on the fatigue crack growth(FCG)rate of Ti-6A1-4V alloy.The FCG rate of Ti-6A1-4V is investigated by using experimental and analytical methods.The effects of stress ratio,crack closure and fracture toughness on the FCG rate are studied and discussed.A modified prediction model of the FCG rate is proposed,and the relationship between the fracture toughness and the stress intensity factor(SIF)range is redefined by introducing a correcting coefficient.Notched plate fatigue tests(including the fracture toughness test and the FCG rate test)are conducted to investigate the influence of affecting factors on the FCG rate.Comparisons between the predicted results of the proposed model,the Paris model,the Walker model,the Sadananda model,and the experimental data show that the proposed model gives the best agreement with the test data particularly in the near-threshold region and the Paris region,and the corresponding calculated fatigue life is also accurate in the same regions.By considering the effects of fracture toughness and crack closure,the novel FCG rate prediction model not only improves the estimating accuracy,but also extends the adaptability of the FCG rate prediction model in engineering.     

31Si2MnCrMoVE钢薄板试样表面裂纹断裂韧度测试

31Si2MnCrMoVE钢是为符合固体火箭发动机壳体设计需要而专门研制的超高强度钢。随着冶炼技术的进步,31Si2MnCrMoVE钢断裂韧度不断提高,构件采用的板厚也越来越薄。由于较高的断裂韧度和较小的板厚,给钢板表面裂纹断裂韧度测试带来困难,韧带尺寸偏小,难以满足有效性判据。这种情况下,不应该用线弹性断裂力学方法评价材料的断裂韧度,而应采用弹塑性断裂力学测试材料的延性断裂韧度JIC。基于以上原因,在条件断裂韧度不满足有效性判据的情况下,采用试验与有限元分析相结合的方法,通过试验测出裂纹启裂时的条件载荷,用有限元法计算出在条件载荷作用下的延性断裂韧度JIC,再用断裂力学理论转换成表面裂纹断裂韧度KIe。用JIC作为断裂参量,就必须分析J积分的有效性,因此讨论超高强度钢表面裂纹前缘的J守恒和J主导的有效性,从而为固体火箭发动机设计提供依据。     

An exact solution for the bending of thin rectangular plates with uniform, linear, and quadratic thickness variations

In this paper, the analysis of the titled problem is based on classical thin-plate theory, and its numerical solution is carried out by using the small parameter method and Lévy-type approach. The thin rectangular plate considered herein is simply supported on two opposite edges. The boundary conditions at the other two edges may be quite general, and between these two edges the plate may have varying thickness. Closed-form solutions have been developed for the static response of isotropic rectangular plates with non-uniform thickness variation and subjected to arbitrary loading. The accuracy of the present model is demonstrated via problems for which the exact solutions and numerical results are available, and results are also compared with those obtained by using the finite-difference method.     

Exact solutions for plastic responses of orthotropic strain-hardening rotating hollow cylinders

This paper presents exact solutions for plastic responses of plastically orthotropic strain-hardening rotating hollow cylinders. Hill’s yield criterion and the Voce hardening law were adopted. The concept of sequential limit analysis was employed to deal with the strain-hardening behavior by updating the yield criterion and the deformed configuration sequentially. First, exact solutions of the plastic angular velocity were acquired by solving both static and kinematic limit analysis problems. The existence of closed-form exact solutions for some cases was also illustrated. Moreover, the global hardening behavior was analytically evaluated. The corresponding distributions of plastic stress components and equivalent plastic strain were also developed. Second, the elastic–plastic capability of the commercial finite-element code ABAQUS was employed for rigorous validations of analytical solutions. Finally, good agreement is observed between analytical solutions and numerical results.     

最弱链模型估算局部脆性区尺寸对焊接热影响区断裂韧度的影响

从最弱链模型的物理本质出发，探讨了影响焊接热影响区脆性断裂的主要因素。在一定的断裂韧度前提下，随着局部脆性尺寸的增加，焊接热影响区的脆断概率增加。当断裂概率一定时，局部脆性区尺寸增加，焊接热影响区断裂韧度下降。文中讨论了最弱链模型中各参数对断裂概率密度及断裂韧度值分布的影响。．     

An exact solution for functionally graded piezoelectric laminates in cylindrical bending

In the present paper, the exact solutions of a simply supported functionally graded piezoelectric plate/laminate under cylindrical bending are derived. With similar derivation procedure as that used for Stroh formalism, the eigenrelation and general solutions for the problems can be expressed in very concise forms, which are convenient for further treatments of both analytic and numerical studies. The exact solutions can be served as benchmarks to verify and improve various approximate theories and numerical methods. To show the influence of material gradients, numerical examples based on the exact solutions are given, and some properties of the mechanical and electric responses of the plates under mechanical and electrical forces are discussed.