界面性能对陶瓷基复合材料桥联增韧的影响

对单向纤维增强陶瓷基复合材料内垂直于纤维的基体裂纹扩展和偏转条件进行研究,侧重于界面性能对裂纹尾区桥联力学分析的影响。结果表明:在界面相脱粘摩擦区和弹性滑移区共同影响下,界面韧性g_i与增强纤维相关联参量(σ_cr²r/E_f)比值是界面脱粘的重要控制条件,并决定主裂纹是否转向,脱粘发生后脱粘摩擦区的长度取决于摩擦力τ₀并与其成反比.此外,界面厚度、剪切模量等也对桥联断裂分析产生重要影响.     

考虑纤维端头脱粘的金属基复合材料轴向弹塑性拉伸性能的研究*

本文建立在广义自洽有限元迭代平均化方法的基础上,分析了纤维端头脱粘对SiC晶须增强铝基复合材料的轴向弹塑性拉伸性能的影响.分别计算了不同纤维长径比与体分比下有纤维端头脱粘情况的金属基复合材料的轴向拉伸性能.并与界面完好的情况相对比,得出了纤维端头脱粘的影响随纤维长径比增大而减小,和随纤维体分比增大而增大的结论.     

压电材料椭圆夹杂界面局部脱粘问题的分析

利用复变函数方法,研究在反平面剪切和面内电场共同作用下压电材料椭圆夹杂的界面脱粘问题．假定夹杂界面脱粘导致了界面电绝缘型裂纹的产生．通过保角变换和解析延拓,将原问题化为两个黎曼-希尔伯特问题,获得了夹杂和基体复势的级数解,进而求得应力变形场以及夹杂-基体界面脱粘的能量释放率的一般表达式．通过理想粘结的椭圆夹杂、完全脱粘的椭圆夹杂、局部脱粘的刚性导体椭圆夹杂、局部脱粘的圆形夹杂等特例的分析说明了该解的有效性和通用性．     

Ⅲ型弹粘塑性/刚性界面裂纹的定常扩展裂尖场

考虑裂纹尖端的奇异性和粘性效应,建立了双材料界面扩展裂纹尖端的弹粘塑性控制方程．引入界面裂纹尖端的位移势函数和边界条件,对刚性-弹粘塑性界面Ⅲ型界面裂纹进行了数值分析,求得了界面裂纹尖端应力应变场,并讨论了界面裂纹尖端场随各影响参数的变化规律．计算结果表明,粘性效应是研究界面扩展裂纹尖端场时的一个主要因素,界面裂纹尖端为弹粘性场,其场受材料的粘性系数、Mach数和奇异性指数控制．     

形状记忆合金增韧大块金属玻璃复合材料界面失效分析

基于线性内聚力模型,建立三维代表性体积单元,对形状记忆合金颗粒与金属玻璃基体界面分离(即界面脱粘)过程进行了有限元模拟,并讨论了弱界面对复合材料力学性能的影响。结果表明:界面性能的好坏显著影响基体与颗粒之间的应力传递;随着界面弹性模量的降低,界面的失效应变越大,复合材料整体的失效应变也越大。     

考虑化学氧化效应时热障涂层氧化物的生长规律

基于考虑氧化效应的Fick定律以及Voigt均匀性假设的氧化区两相材料的本构关系,开发了ABAQUS用户单元子程序.并基于重构的可反映热障涂层界面真实形貌的二维有限元模型,计算分析了氧化效应对TGO生长规律的影响,以及TC-TGO和BC-TGO界面的应力场分布.结果表明,未考虑氧化效应仅能获得TGO均匀生长的模拟结果,而考虑氧化效应得到了TGO的非均匀生长结果; 且考虑氧化效应相对于不考虑氧化效应时的界面应力处于较高水平. 此外,探索了氧化效应大小对TGO生长的影响规律, 发现氧化效应大则能促进TGO的不规则生长,氧化效应小则相反.     

具有非均匀界面相的颗粒和纤维增强复合材料弹性静力学问题的解析解

通过将以位移表示的平衡方程转化为黎卡提方程,得到了具有非均匀界面相的颗粒和纤维增强复合材料非均匀界面相内弹性场的解析解·　所得的解析解是弹性模量呈幂次方变化的非均匀界面相解的通用形式·　任意给定1个幂指数,可以得到具有非均匀界面相的颗粒和纤维增强复合材料体积模量的解析表达式·　通过改变幂指数及幂次方项的系数,此解析解可适用于具有多种不同性质的非均匀界面相·　结果表明:界面相模量和厚度对复合材料模量有很大的影响,当界面相存在时,粒子将出现一种"尺寸效应"·     

复合材料成形过程中模具-构件作用的一种表征方法

利用光纤Bragg(布拉格)光栅(fiber Bragg grating,FBG)传感器,结合理论模型,对碳纤维复合材料(CFRP)热压罐成形过程中模具-构件间的作用力进行了研究.结果表明,在模具表面涂覆脱模腊的条件下,模具与构件界面间不仅存在滑动摩擦力,还会发生粘接作用.固化完成后,温度下降使模具与构件产生不同程度的变形,导致粘接力上升,达到极限值时发生脱粘现象.脱粘首先发生在边缘,沿模具长度方向向中心移动.模具与构件热膨胀系数的差异是摩擦力产生和构件发生变形的主要原因.     

Marangoni效应对等曲率弯曲界面凝固过程的影响

用渐近方法和相场数值模拟分别研究了球状晶体和柱状晶体凝固过程中,固液界面表面张力随温度的变化对界面运动的影响．结果表明Marangoni效应将增大临界晶核半径,减缓界面运动速度．在静止熔体中,枝晶尖端生长速度随Marangoni数线性下降．渐近展开和相场模拟得到的结果定性是一致的．     

粘聚律的分离功分析以及一种一致关联粘聚律

在粘聚元或者粘聚域模型中,能够预测混合失效模式（mixed mode）的粘聚律是通过关联界面的法向分离和切向分离来建立的．考虑完全剪切失效机制的Xu-Needleman粘聚律是目前文献中应用最多的关联粘聚律之一．基于该文提出的粘聚律一致关联准则,采用界面分离功分析法,证明了考虑剪切失效机制的Xu-Needleman粘聚律在混合失效模式下,属于非一致关联粘聚律．理论分析证明,考虑剪切失效的Xu-Needleman粘聚律仅在界面的法向分离功与切向分离功相等的情况下能够正确刻画混合失效模式．基于粘聚律一致关联准则,在考虑剪切失效的Xu-Needleman粘聚律的基础上,进行修正提出一种一致关联粘聚律（CCC）．分析证明,这种修正的一致关联粘聚律克服了原有Xu-Needleman粘聚律非一致关联的弊端,能够更好刻画混合失效模式下的破坏行为．     

Effect of Coulomb friction on the fiber/matrix debonding and matrix cracking in unidirectional fiber-reinforced brittle-matrix composites

A model for a macroscopic crack transverse to bridging fibers is developed based upon the Coulomb friction law, instead of the hypothesis of a constant frictional shear stress usually assumed in fiber/matrix debonding and matrix cracking analyses. The Lamé formulation, together with the Coulomb friction law, is adopted to determine the elastic states of fiber/matrix stress transfer through a frictionally constrained interface in the debonded region, and a modified shear lag model is used to evaluate the elastic responses in the bonded region. By treating the debonding process as a particular problem of crack propagation along the interface, the fracture mechanics approach is adopted to formulate a debonding criterion allowing one to determine the debonding length. By using the energy balance approach, the critical stress for propagating a semi-infinite fiber-bridged crack in a unidirectional fiber-reinforced composite is formulated in terms of friction coefficient and debonding toughness. The critical stress for matrix cracking and the corresponding stress distributions calculated by the present Coulomb friction model is compared with those predicted by the models of constant frictional shear stress. The effect of Poisson contraction caused by the stress re distribution between the fiber and matrix on the matrix cracking mechanics is shown and discussed in the present analysis. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 43, No. 2, pp. 171–190, March–April, 2007.     

An improved closed-form solution to interfacial stresses in rc beams strengthened with a composite plate

The strengthening of concrete structures in situ with externally bonded fiber-reinforced plastic (FRP) composite sheets is increasingly being used for the repair and rehabilitation of existing structures. However, debonding along the FRP-concrete interface can lead to premature failure of the structures. The interfacial stresses have played a significant role in understanding this premature debonding failure of such repaired structures. In this paper, an improved theoretical analysis of the interfacial stresses is presented for a simply supported concrete beam bonded with a FRP plate. The shear strains of the adherends have been included in the present theoretical analysis by assuming a parabolic distribution of shear stress across their thickness. Contrary to some existing studies, the assumption that both adherends have the same curvature is not used in the present investigation. The results of this numerical study are beneficial for understanding the mechanical behavior of material interfaces and for the design of hybrid FRP-reinforced concrete structures.     

Statistical laws of fracture and statistical estimation of the static strength of structural elements made from polymeric composites

The basis of the statistical estimation of the strength of structural elements made from fibrous composites is considered; the statistical characteristics of the strength of these materials are described and the limit states are formulated. Special attention is given to the resistance to debonding. The conditions of fracture of this class of materials in plane stress are subjected to a statistical analysis.Presented at the 2nd All-Union Conference on Polymer Mechanics, Riga, November 10–12, 1971.Aviation Engineering Institute, Moscow. Translated from Mekhanika Polimerov, No. 3, pp. 466–482, May–June, 1972.     

On the single fibre pullout and pushout problem: Effect of fibre anisotropy

Based on our recent theoretical model of the interfacial debonding and fibre pullout/pushout stresses, an improved analysis including the effect of fibre anisotropy has been performed for single fibre pullout and pushout. During fibre-matrix debonding the debonded region is considered as an interfacial crack and its extension is dependent on a fracture energy criterion being satisfied. The elastic properties of the fibre are taken to be transversely isotropic about the fibre axis and the matrix is assumed to be isotropic. The results show that the maximum debond stress for fibre pullout and the initial frictional pullout stress increase as the ratio of the Young's moduli of the fibre between the axial and radial directionsE _f /E _f ^r increases, and this is particularly so at large embedded fibre lengths. However, in the case of fibre pushout these debond and pushout stresses decrease asE _f /E _f ^r increases.     

Assessment of transmission of the shear stress in potted anchors for composite rods: 4. Nonlinear bond behavior between the FRP rod and the potting material

An analytical model for estimating the load-carrying capacity of cylindrical potted anchors with round rods made of high-strength composites is developed taking into account a partial debonding at the rod-pottant interface under tension loading. A detailed parametric analysis of the influence of propagation of the debonding on the load-carrying capacity of a potted anchor is carried out.     

Resistance of wound glass-reinforced plastics to failure by unwinding

The debonding of wound glass-reinforced plastics is examined from the statistical standpoint. The statistical stress intensity distribution function characterizing the fracture toughness is obtained. The effect of defect size on the critical nominal stresses is discussed.Moscow Aviation Technological Institute. Translated from Mekhanika Polimerov, No. 5, pp. 881–885, September–October, 1969.     

Fracture of fiber-reinforced materials

The fracture behaviour of fiber-reinforced materials is studied in this paper. Using a simple shear lag model, which includes friction at the debonded interface and the Poisson contraction of the fiber, the fiber-matrix debonding problem is solved. This gives the relationship between debonding load and debonded length. Interfacial friction is shown to have a significant effect on the debonding load. The fracture toughness of fiber-reinforced materials due to fiber debonding, frictional dissipation at fibre-matrix interface following debonding and other micro-fracture mechanisms is discussed with reference to strong and weak fibres. Finally, the strength and toughness of short fibre-reinforced materials are given.On leave from Harbin Shipbuilding Engineering Institute, Harbin, China     

单向拉伸镍钛合金带从奥氏体到马氏体的相变分析

单向拉伸镍钛合金带中从奥氏体到马氏体的相变已在实验中观测到,并被看作为局部变形进行了数值模拟．该文采用相变理论对其进行分析,考虑了两相界面处变形梯度的跳跃以及Maxwell关系,导出了相变的控制方程．相变分析归结为寻求载荷的最小值,使在该值下控制方程具有唯一的、物理上可以接受的实数解．控制方程被数值求解,证明了该唯一解确实存在．相变的Maxwell 应力,马氏体相与奥氏体相内的应力与应变,以及相边界的倾角都可求出,并与实验所观测到的结果相吻合．     

Effect of a local load on an orthotropic glass-reinforced plastic shell

The deformation of a layered orthotropic cylindrical shell under a local normal load is investigated on the basis of equations that do not depend on the hypothesis of straight normals. The solutions of the analogous classical problems were analyzed in [3]; a solution based on equations that take transverse shear strains approximately into account was proposed in [4]. The high degree of variability of the state of stress created by local loads indicates that it is quite important to take transverse shear strains rigorously into account in problems of this class. An attempt is made to estimate the error introduced by the hypothesis of straight normals and to calculate the load leading to debonding of the shell.S. Ordzhonikidze Moscow Aviation Institute. Translated from Mekhanika Polimerov, No. 1, pp. 95–101, January–February, 1970.