共晶基陶瓷复合材料的断裂韧性

应用细观力学方法研究了由具有随机尺寸和方位的棒体共晶体构成的共晶基陶瓷复合材料的断裂韧性.首先根据棒状共晶体的细观结构特性,考虑共晶体边界处的微观滑移确定共晶陶瓷复合材料的开裂应力,当外载荷达到开裂应力时,裂纹开始扩展.然后分析裂纹表面处的棒状共晶体桥联力使裂纹产生闭合效应,减小裂纹尖端的应力集中,建立棒状共晶体桥联增韧机制;再依据棒状共晶体拔出过程中摩擦力做功,建立棒状共晶体拔出增韧机制.最后在棒状共晶体的桥联与拔出增韧机制的基础上,得到了共晶基陶瓷复合材料断裂韧性的理论表达式.结果表明共晶基陶瓷复合材料的断裂韧性与棒状共晶体的长径比密切相关.     

Toughness increment by crack growth in toughened structural materials

Material toughening could be furnished by the energy dissipating wakes and bridging segments during crack growth. According to their contributions to the energy integral applicable to a growing crack, the toughening mechanisms are categorized as: dilatational plasticity and induced shear yielding in the crack wakes, bridging due to second inclusion phases, and the matrix bridging caused by wavy crack front. Detailed toughening analysis is pursued for structural polymers and composite materials reinforced by short aligned fibers. Sponsored by the State Education Commission of China and by the Fok Ying-Tung Education Foundation     

Small-scale crack bridging and the fracture toughness of particulate-reinforced ceramics

Theoreticalanalyses of small-scale bridging of crack surfaces by elastic-ideally plastic springs are presented and applied to the study of the fracture toughness of ceramics reinforced by small particles. The dependence of toughening on particle size, concentration, strength, and ductility is explored, and relations between toughening and bridge length at fracture are given. Available experimental information is examined in the light of the analyses.     

Ductile reinforcements for enhancing fracture resistance in composite materials

Ductile reinforcements can supply fracture toughness to a polymer matrix by pulling out and by plastically deforming. In the case of metal reinforcements that are not in a toughened condition, there may be more toughening to be gained when the fibers remain in the matrix and plastically deform rather than pulling out. These fibers can be said to have an unused plastic potential. When these fibers bridge a crack, their plastic deformation causes a rise in the force which is trying to pull out the fiber. Because of this, the shape of the fiber must be adjusted along its length if it is to remain anchored and contribute its plastic work. The use of anchored, ductile fibers provides a new design axis that brings new possibilities not achievable by the current research focus on the fiber–matrix interface. This paper describes the experimental pullout of aligned ductile fibers from a polymer matrix, and indicates the effect of the shape and embedded length of the fiber on the toughness increase of the composite. Anchored, plastically deforming fibers are shown to provide a major improvement to the toughening. Even for unoptimized ductile fibers, the calculated toughening improvement equals or exceeds the toughening available from current short glass or graphite fibers. In addition, pullout values are obtained for fibers that are embedded at an angle, simulating fiber bridging from fibers not perpendicular to the crack surface. These results further demonstrate the toughening efficiency of ductile fibers.     

Thermal Shock Resistance of a Kyanite-Based (Aluminosilicate) Ceramic

This paper presents the results of a combined experimental and theoretical study of microstructure and thermal shock resistance of an aluminosilicate ceramic. Shock-induced crack growth is studied in sintered structures produced from powders with different particle size ranges. The underlying crack/microstructure interactions and toughening mechanisms are elucidated via scanning electron microscopy (SEM). The resulting crack-tip shielding levels (due to viscoelastic crack bridging) are estimated using fracture mechanics concepts. The implications of the work are discussed for the design of high refractory ceramics against thermal shock.     

An elastic–plastic crack bridging model for brittle-matrix fibrous composite beams under cyclic loading

A fibrous composite beam with an edge crack is submitted to a cyclic bending moment and the crack bridging actions due to the fibers. Assuming a general elastic-linearly hardening crack bridging model for the fibers and a linear-elastic law for the matrix, the statically indeterminate bridging actions are obtained from compatibility conditions. The elastic and plastic shake-down phenomena are examined in terms of generalised cross-sectional quantities and, by employing a fatigue crack growth law, the mechanical behaviour up to failure is captured. Within the framework of the proposed fracture mechanics-based model, the cyclic crack bridging due to debonding at fiber–matrix interface of short fibers is analysed in depth. By means of some simplifying assumptions, such a phenomenon can be described by a linear isotropic tensile softening/compressive hardening law. Finally, numerical examples are presented for fibrous composite beams with randomly distributed short fibers.     

结构增韧材料在裂纹扩展中的韧度增值

本文分析了由裂纹扩展过程中形成的耗能尾区和桥联段所产生的增韧效应。根据对扩展裂纹的能量积分的贡献,结构增韧材料在裂纹扩展中的韧度增值机制可分解为:尾区体膨胀塑性增韧;尾区剪切屈服带增韧;裂纹面夹杂第二相桥联;未贯穿裂纹的基体桥联。本文结合结构高分子材料和短纤维复合材料等材料体系进行了具体的增韧分析计算。     

复相陶瓷中颗粒桥联与相变协同增韧作用的力学分析

本文对复相陶瓷内延性金属颗粒和相变颗粒的协同增韧作用进行了力学分析，其中颗粒桥联效应还考虑了桥联颗粒与基体间工艺残余应力的影响，相变效应考虑了相变体膨胀和剪切塑性对增韧的共同贡献。数值计算结果与Ａｍａｚｉｇｏ－Ｂｕｄｉａｎｓｋｙ的结果及２Ｙ－ＴＺＰ／２０ＶＯＬ％Ｎｉ的实验结果作了比较。     

A NEW METHOD TO DETERMINE THE R-CURVE OF CERAMICS-FRACTURE GRATING METHOD

The etching technique of the single-lined zero-thickness specimen grating is applied tothe surface of the SiC fiber toughening Si_3N_4 ceramic composite specimen.The position of the crackand the crack length during the process of crack extension when the load is applied and gradually in-creased can be determined by recording the output voltage value of the Wheatstone bridge in which theceramic specimen with the fracture grating on is located.The crack-growth-resistance(R-curve) of thismaterialis thus obtained.     

陶瓷阻力曲线测定的新方法——断裂栅法

将零厚度单向试件栅刻蚀工艺应用于晶须增韧氮化硅陶瓷基复合材料表面，通过记录试件所在桥路的输出电压值，可得到随载荷不断增大裂纹逐渐向前扩展过程中每一时刻的裂尖位置和裂纹长度，从而得到该种材料的阻力曲线。     

Prediction of overall tension behavior of short fiber-reinforced composites

The bridging stress of fibers along the crack surface plays an important role in analyzing the tension behavior of short or long fiber-reinforced composites. This paper uses the inclusion theory to obtain the expression of bridging stress for short fiber reinforced composite (SFRC) . A simplified model with periodically distributed fibers is proposed to estimate the average fiber spacings. The total fracture resistance is calculated as an energy summation including interface debonding energy dissipation, frictional sliding work between fibers and matrix, strain energy increment of fibers and matrix. The bend over point (BOP) stress is calculated by this fracture resistance. The necessary conditions of the fibers and matrix for the multiple cracking in SFRCs are discussed and the expression of ultimate external stress is derived. The critical fiber volume fraction for the strain hardening response is determined by an iteration method. In the meanwhile, the average spacing between two short fibers is proposed by a periodical distribution assumption. The theoretical prediction is compared with experimental data.     

BRIDGE-TOUGHENING ANALYSIS OF THE FIBER REINFORCED COMPOSITE CONTAINING INTERPHASE EFFECT

A detailed fracture mechanics analysis of bridge-toughening in a fiberreinforced composite is presented in this paper.The integral equation governing bridge-toughening as well as crack opening displacement (COD) for the composite withinterfacial layer is derived from the Castigliano's theorem and interface shear-lagmodel.A numerical result of the COD equation is obtained using the iteration solutionof the second Fredholm integral equation.In order to investigate the effect of variousparameters on the toughening,an approximate analytical solution of the equation ispresent and its error analysis is performed,which demonstrates the approximatesolution to be appropriate.A parametric study of the influence of the crack length,interracial shear modules,thickness of the interphase,fiber radius,fiber volumefraction and properties of materials on composite toughening is therefore carried out.The results are useful for experimental demonstration and toughening design includingthe fabrication process of the composite.     

含界面相效应的纤维增强复合材料桥联增韧力学分析

本文对纤维增强复合材料桥联增韧进行了详细的断裂力学分析，基于Ｃａｓｔｉｇｌｉａｎｏ＇ｓ定理和界面剪滞模型，得到了含界丰效应的复合材料桥联增专访和裂纹线开位移的控制议程；并按照第二类Ｆｒｅｄｈｏｌｍ积分方程的迭代解法，给出其数值结果，为例题于分析界面相参数对增韧效果的影响，寻求了该控制方程的近似解解析表达式，对近似解进行了误差估计，证明了解的可行性，在此基础上得到了界面剪切模量，裂纹长度。界面厚度，     

Asymmetrical dynamic fracture model of bridging fiber pull-out of unidirectional composite materials

An elastic analysis of an internal crack with bridging fibers parallel to the free surface in an infinite orthotropic anisotropic elastic plane is studied, and asymmetrical dynamic fracture model of bridging fiber pull-out of unidirectional composite materials is presented for analyzing the distributions of stress and displacement with the internal asymmetrical crack under the loading conditions of an applied non-homogenous stress and the traction forces on crack faces yielded by the bridging fiber pull-out model. Thus the fiber failure is ascertained by maximum tensile stress, the fiber ruptures and hence the crack propagation should also appear in the modality of self-similarity. The formulation involves the development of a Riemann-Hilbert problem. Analytical solution of an asymmetrical propagation crack of unidirectional composite materials under the conditions of two increasing loads given is obtained, respectively. In terms of correlative material properties, the variable rule of dynamic stress intensity factor was depicted very well. After those analytical solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be gained.     

The crack tip zone shielding effect for ductile particle reinforced brittle materials

The crack tip zone shielding effect for the ductile particle reinforced brittle materials is analyzed by using a micromechanics constitutive theory. The theory is developed here to determine the elastoplastic constitutive behavior of the composite. The elastoplastic particles, with isotropic or kinematical hardening, are uniformly dispersed in the brittle elastic matrix. The method proposed is based on the Mori-Tanaka's concept of average stress in the composite. The macroscopic yielding condition and the incremental stress strain relation of the composite during plastic deformation are explicity given in terms of the macroscopioc applied stress and the microstructural parameters of the composite such as the volume fraction and yield stress of ductile particles, elastic constants of the two phases, etc. Finally, the contribution of the plastic deformation in the particles near a crack tip to the toughening of the composite is evaluated. The project supported by National Natural Science Foundation of China     

Antiplane interaction of line crack with an arbitrarily located elliptical inclusion

The antiplane problem of the interaction between a main crack and an arbitrarily located elastic elliptical inclusion near its tip is addressed in the current study. The analysis is based on the use of the complex potentials for the antiplane problem, Laurent series expansion method and an appropriate superposition scheme. The stress intensity factor at the main crack is obtained in a general series form. Explicit asymptotic solutions are also derived by using a perturbation technique and retaining the leading order terms in series expansion. The present solutions are shown to coincide with the Taylor expansion of exact solutions for special cases available in the literature. Discussed are changes in the crack tip stress intensity which can be enhanced or suppressed depending on the location of the elliptical inclusion. The explicit solutions provided herein are well suited for the further quantitative analysis of toughening mechanisms in ceramic composite materials.     

破片撞击下YAG透明陶瓷复合靶的破坏特性

YAG透明陶瓷兼具有优秀的透光性能和抗冲击破坏性能,是武器装备透明部分的优秀防护材料,在军事装备、航天等国防领域具有良好的应用前景。冲击载荷下材料的加载响应特性对掌握材料破坏机制至关重要,能为透明复合靶设计提供依据。为获得YAG透明陶瓷多层复合靶的冲击破坏特性,利用内径9 mm的气体驱动发射平台进行了碳化钨球形破片在20～310 m/s速度下撞击YAG透明陶瓷复合靶的实验,通过高速摄影捕捉的陶瓷表面损伤演化过程,计算了典型径向、环向裂纹扩展速度。通过观测回收的靶体和YAG碎片的宏细观破坏特征,分析了撞击速度与靶体破坏特征之间的联系。结果表明,YAG陶瓷层径向裂纹和环向裂纹扩展速度均随着时间的延长线性降低,且裂纹扩展速度几乎不受撞击速度影响。陶瓷层中心粉碎区面积随撞击速度的提高而增大,且中间玻璃层破坏区域面积与陶瓷锥底面积相关联,陶瓷锥角与撞击速度关联性不强。同时,观察到陶瓷层在冲击破坏过程中出现了裂纹簇,获得了裂纹簇数量与破片撞击速度之间的关系,分析了裂纹簇的特征及其成因。裂纹变向、应力波作用会显著影响细观断面破坏特征。径向、环向和锥裂纹中沿晶断裂的比例均随着裂纹扩展距离的增大而增加,且穿晶比例随着撞击速度的提高而增加。     

Micromechanics of fracture in a ceramic/metal composite studied by in situ fluorescence spectroscopy I: Foundations and stress analysis

in situ microstress fields that develop during fracture in an exemplary ceramic/metal composite. Stress maps are obtained over a relatively large area in the neighborhood of a propagating crack at both zero and critical loading conditions. Theoretical and experimental issues of concern for measurement of local complex stress fields are dealt with. In particular, a review of the fluorescence spectroscopy technique in context with ceramic materials is presented and experimental procedures are proposed to deconvolute the experimental peak-shift in individual components arising from (pre-existing) residual stress fields and microstress fields additionally developed during fracture (e.g., bridging stresses). The results illustrate that, despite the approximations involved with applying piezo-spectroscopic equations for assessing microstress fields, fluorescence microprobe spectroscopy is a viable method for quantitative investigations of crack-wake microfracture mechanisms in ceramic materials. Received October 26, 2001 / Published online February 4, 2002     

Modeling of fiber-reinforced cement composites: Discrete representation of fiber pullout

The discrete modeling of individual fibers in cement-based materials provides several advantages, including the ability to simulate the effects of fiber dispersion on pre- and post-cracking composite performance. Recent efforts in this direction have sought a balance between accurate representation of fiber behavior and computational expense. This paper describes a computationally efficient approach to representing individual fibers, and their composite behavior, within lattice models of cement-based materials. Distinguishing features of this semi-discrete approach include: (1) fibers can be positioned freely in the computational domain, irrespective of the background lattice representing the matrix phase; (2) the pre- and post-cracking actions of the fibers are simulated with little computational expense, since the number of system degrees of freedom is independent of fiber count. Simulated pullouts of single fibers are compared with theory and test results for the cases of perfectly-plastic and slip-hardening behavior of the fiber–matrix interface. To achieve objective results with respect to discretization of the matrix, pullout forces are distributed along the embedded lengths of fibers that bridge a developing crack. This is in contrast to models that lump the pullout force at the crack surfaces, which can lead to spurious break-off of matrix particles as the discretization of the matrix is refined. With respect to fracture in multi-fiber composites, the proposed model matches theoretical predictions of post-cracking strength and pullout displacement corresponding to the load-free condition. The work presented herein is a significant step toward the modeling of strain-hardening composites that exhibit multiple cracking.     

幂硬化剪切界面层效应的复合材料桥联分析

对具有幂硬化塑性剪切界面层效应的复合材料桥联进行断裂力学分析，得到了桥联增韧和裂纹张开位移的控制方程，并按照非线性Ｖｏｌｔｅｒｒａ型积分方程的迭代解给出其数值结果。并详细讨论界面相参数对桥联效应的影响。