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1.
通过解析和数值的方法研究了二维微裂纹体有效模量和有效导电系数之间的关联,针对二维含有任意取向和平行的微裂纹介质,通过基于象素的有限元方法分别计算了它们的有效杨氏模量和有效导电系数,并建立了两种不同物理量之间的关联.研究结果表明利用简单的解析Mori-Tanaka方法也可以建立上述关联,并且与数值结果吻合很好。  相似文献   

2.
一种表面裂纹高温断裂韧性测试方法   总被引:5,自引:0,他引:5  
唐国金  宋先村 《实验力学》1998,13(4):526-531
提出了一种表面裂纹高温断裂韧性测试方法,包括试样加热、温控和裂纹嘴张开位移测试方法.该方法适合于在相对简单的条件下测试表面裂纹高温断裂韧性.最后给出了铝合金焊缝表面裂纹高温断裂韧性的测试结果.  相似文献   

3.
脆性材料裂纹扩展的分形运动学   总被引:23,自引:0,他引:23  
谢和平 《力学学报》1994,26(6):757-762
大量实验结果表明脆性材料裂纹扩展路径是弯弯曲曲的,不规则的,断裂表面粗糙不平,表现出分形特征。本文应用分形几何推导出脆性材料裂纹扩展的分形运动学公式,得到了动、静态断裂韧性与分形裂纹扩展速度、裂纹长度、微结构特征量δ_c以及分形维数之间的关系;推导出了裂纹扩展速度的计算公式,得出宏观量测的裂纹扩展速度V_0应小于分形裂纹扩展速度V;并推导出直接根据材料动、静态断裂韧性和裂纹扩展速度V_0估算材料裂纹扩展路径的分维计算公式.本文理论分析结果与实验值在定性定量上达到了较好的一致。  相似文献   

4.
准脆性工程材料及结构在外力作用下,不仅引起内部缺陷变化和微裂纹的出现及发展,且使得其结构承载能力降低或性能劣化.在其材料失效过程中常存在裂缝与断裂损伤过程区.为研究材料细观缺陷或微裂纹与宏观破坏的规律,通过细观力学方法,对于代表性体积单元RVE中的圆饼型微裂纹的尺寸与密度变化,探讨其宏观断裂过程区力学参量与损伤之间的量化关系.借助宏观断裂过程区的黏聚裂纹模型,将损伤单元RVE嵌入到宏观裂缝端部的断裂过程区中,对其进行联接细观损伤到宏观破坏的力学多尺度研究.文中也通过实验数据,对其理论计算结果进行了算例的讨论与分析.  相似文献   

5.
计算微裂纹损伤材料有效模量的一种简单方法   总被引:7,自引:0,他引:7  
冯西桥  余寿文 《力学学报》2001,33(1):102-108
给出了一种基于Taylor模型的有效介质方法。用以计算微裂纹相互作用对有效本构关系的影响,该方法假设每一个微裂纹位于一种有效介质之中,该有效介质的弹性模量由不考虑微裂纹相互作用的Taylor模型计算、和自洽方法相比,这种方法计算简单,而且结果更准确。  相似文献   

6.
马法尚  匡震邦 《力学学报》1995,27(Z1):120-124
详细分析了不同形状断裂试件及小范围屈服模型裂纹端部的损伤演化,提出了韧性断裂的宏观起裂相当于裂尖前方一特征位置处的损伤达到一临界值。利用此模型获得了与实验相一致的宏观断裂韧性及与约束无关的理论断裂韧性。  相似文献   

7.
詹思远  郑百林  张锴 《力学季刊》2020,41(1):136-146
柱形结构电极是近年来使用最为广泛的锂电池电极结构之一.本文以硅材料细长柱形电极为例,研究了充电电流大小、电极长径比、初始裂纹长度以及断裂韧性对于电极的屈曲现象和裂纹扩展现象发生时间的影响.计算结果表明,屈曲与裂纹扩展现象出现的先后顺序与充电电流大小无关;具有小的长径比,大的初始裂纹长度以及较小断裂韧性的电极,裂纹扩展比屈曲现象更早发生.对于硅材料,不同长径比的电极具有不同临界断裂韧性值,当材料的断裂韧性小于该临界值,在锂化过程中裂纹扩展会先于屈曲现象发生;该临界断裂韧性值随初始裂纹长度的增加而增加.本文的结论对于电极的结构设计以及材料选取具有一定指导意义.  相似文献   

8.
在柴油机曲轴、连杆等关键零部件的可靠性设计和失效评估中,断裂韧性及疲劳裂纹扩展门槛值分别是衡量材料抵抗裂纹失稳扩展和裂纹开始扩展的重要指标.但是,对于高韧性合金材料,难以通过常规试验所推荐的厚度确定平面应变断裂韧性,而门槛值的测定通常不但非常耗时,且难以直接应用于不同循环特性的实际结构.本文针对高韧性合金钢34CrNi3MoA,提出一种将断裂韧性和疲劳裂纹扩展门槛值试验合二为一的试验方法,即用同一个试件可以同时测定门槛值和断裂韧性.利用断裂韧性关于试件厚度的渐近特性,以几种较薄试件的试验,确定平面应变状态下的断裂韧性.试验结果还表明,裂纹扩展门槛值的试件厚度依存性可以忽略,并给出了任意循环特性(应力比)下的门槛值计算公式.  相似文献   

9.
微孔洞型的分形断裂理论初探   总被引:1,自引:0,他引:1  
初步研究并提出微孔洞型的分形断裂理论,建立了主裂纹与微孔洞汇合的分形模型,并以此为基础确定了分维D与连接区厚度Δ和孔洞平均半径r之间的关系,推导了微孔洞与主裂纹连接的能量准则,讨论了分维与断裂韧性之间的关系。  相似文献   

10.
通过引进微缺陷相互作用张量,建立了一个二维情况下考虑微缺陷(微裂纹或微孔洞)间相互作用的损伤固体有效弹性性质的一般理论模式模型中考虑了微缺陷的几何形状、取向分布和空间分布所造成的有效柔度张量的各向异性和材料中微缺陷之间的相互作用所引起的损伤柔度张量的高阶效应针对微椭圆孔、微圆孔和微裂纹问题,求得了相互作用张量的解析形式  相似文献   

11.
In this paper, with the aid of superimposing technique and the Pseudo Traction Method (PTM), the interaction problem between an interface macrocrack and parallel microcracks in the process zone in bimaterial anisotropic solids is reduced to a system of integral equations. After the integral equations are solved numerically, a conservation law among three kinds ofJ-integrals is obtained which are induced from the interface macrocrack tip, the microcrack and the remote field, respectively. This conservation law reveals that the microcrack shielding effect in such materials could be considered as the redistribution of the remoteJ-integral. The project supported by the National Natural Science Foundation of China, and the Doctorate Foundation of Xi'an Jiaotong University  相似文献   

12.
Microcracking damage and toughening are examined for ceramics. These effects have been found to depend on the material microstructure and macrocrack growth. Isotropic damage, attributed to random distribution of microcrack location, length and orientation can be associated with a disordered microstructure and a non-uniform residual stress field. When the applied stress is the main cause of cracking, the microcrack distribution is no longer random such as a system of quasi-parallel cracks. To highlight the effect of crack interaction, discrete models are advanced where damage is simulated by a distribution of microcracks. The dilute concentration assumption is invoked to simplify the analysis.The two-dimensional discrete model is based on a phenomenological approach that is statistical in character. Interactions of microcracks and with a macrocrack are considered by means of a boundary element technique (A. Brencich, A. Carpinteri, Int. J. Fracture 76 (1996) 373–389; A. Brencich, A. Carpinteri, Eng. Fract. Mech. 59 (1998) 797–814) where both isotropic and anisotropic damage could be treated. Comparisons with other results are made to show that the model can be applied to analyse the fracture behaviour of different materials.  相似文献   

13.
This work is concerned with the influence of microcracks on the fracture stability of a macrocrack in a uniform field of heat flux. Evaluated are the macrocrack tip stress intensity factors for plane problems of thermoelasticity. Several distributions of microcracks with varying location and orientation are examined; they could either enhance or suppress the onset of macrocrack growth. The microcracks are one order of magnitude shorter than the macrocrack such that the individual effects of the microcracks can be obtained by superposition.  相似文献   

14.
The fracture stability of macrocracks under uniform heat flux is analyzed to include the effect of a system of microcracks. The interaction of cracks leads to full or partial closure of crack surfaces. The boundary problem is stated and a solution is obtained. The domains where microcracks are closed and/or affect partial closing of the macrocrack are found. Evaluated is the macrocrack tip stress intensity factor accounting for closure.  相似文献   

15.
The general asymptotic solution of macrocrack interaction with an arbitrary field of microcracks is modified to the case where microcracks are located around a main crack. A comparison with the solution for a semi-infinite crack is discussed. The shielding-amplification zones are identified in terms of the distance from the microcrack to the main crack of finite size.  相似文献   

16.
闫相桥 《力学学报》2006,38(1):112-117
提出了平面弹性介质中主裂纹与微裂纹相互作用问题的有效数值计算 方法. 通过把适于单一裂纹的Bueckner原理扩充到含有多裂纹的一般体系,将原问题分解 为承受远处载荷不含裂纹的均匀问题,和在远处不承受载荷但在裂纹面上承受面力的多裂纹 问题. 于是,以应力强度因子作为参量的问题可以通过考虑后者(多裂纹问题)来解决,而 利用提出的杂交位移不连续法,这种多裂纹问题是容易数值求解的. 列举 Cai和 Faber为评价主裂纹与微裂纹相互作用问题的近似方法而列举的算例,说明 该数值方法对分析平面弹性介质中主裂纹与微裂纹相互作用问题既简单又非常有效.  相似文献   

17.
We investigate the influence of distributed microcracks on the overall diffusion properties of a porous material using the self-similar cascade continuum micromechanics model within the framework of mean-field homogenization and computational homogenization of diffusion simulations using a high-resolution pixel finite element method. In addition to isotropic, also anisotropic crack distributions are considered. The comparison of the results from the cascade continuum micromechanics model and the numerical simulations provides a deeper insight into the qualitative transport characteristics such as the influence of the crack density on the complexity and connectivity of crack networks. The analysis shows that the effective diffusivity for a disordered microcrack distribution is independent of the absolute length scale of the cracks. It is observed that the overall effective diffusivity of a microcracked material with the microcracks oriented in the direction of transport is not necessarily higher than that of a material with a random orientation of microcracks, independent of the microcrack density.  相似文献   

18.
19.
左宏  陈宜亨 《力学学报》1999,31(4):493-497
通过对微裂纹屏蔽不同来源的分析及计算,发现在各向同性脆性材料中,残余应力释放引起的微裂纹对主裂尖产生最大屏蔽效应时该微裂纹的倾角与最大张应力的方向没有明显的对应关系.在Hutchinson[1]所指出的屏蔽效应的第二个来源中,还应计及微裂纹形成引起的远场应力在微裂纹处产生的应力场的释放从而导致应力场的再分布.  相似文献   

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