Stress intensity factors for surface cracks in single‐edge notch bend specimen by a three‐dimensional weight function method

Stress intensity factors for half‐elliptical surface cracks at a semi‐circular notch in a recently developed single‐edge notch bend specimen are determined for a wide range of geometrical parameters using a three‐dimensional weight function method. Two load cases of pin loading and uniform remote tension are considered. The results are in good agreement with abaqus/franc3d finite element analysis. It is found that the Ziegler–Newman engineering similitude approach (programmed into the Fatigue Crack Growth Structural Analysis life‐prediction code) produces good results for a wide range in a/c ratios. Expressions by multi‐variable curve fitting to the weight function results are presented for easy engineering applications.     

K_(1c)测试试件的尺寸要求和理论依据

本文证明了在裂纹小于某一个跟材料性能有关的值时,K_(lc)=σ_fa~(1/2)·y 为常量这个断裂力学的基本假设不成立。传统的 K_(lc)试件尺寸要求的理论依据是不正确的。在此基础上,通过求出断裂强度的上限而导出了 K_(lc) 公式的有效范围和尺寸要求的表达式。从理论上澄清了以下三个问题:1.为什么 K_(lc)的测试须有尺寸要求?2.怎么要求不同材料的试样尺寸?3.不满足要求时 K_(lc)如何变化?     

Comparison of using the crack mouth displacement (CMOD) and load line displacement (LLD) methods in the determination of critical J integral in SENB specimens

Various methods for direct and indirect determination of LLD and CMOD were used to determine J from SENB specimens in three different steels. The influence of the displacement measurement on J is discussed, and shows that the values of J using LLD determined from clip gauge methods to the ASTM E1820 or ISO 12135 standards are consistent with values of J determined from CMOD (either directly or using clip gauge methods), as defined in ASTM E1820. From this work it is recommended that standard methods such as ISO 12135 should permit load‐CMOD and load‐LLD as alternative methods to determine J. Methods to determine LLD by corrections to the ram displacement were also shown to be effective in determining J, for applications where the use of clip gauges may be challenging, such as fracture toughness testing in sour environments, dynamic tests, or testing at very high temperature.     

裂纹端约束效应与18G2A钢JR曲线可转移性

采用有限元和J—A2方法对18G2A钢进行弹塑性断裂分析。通过引入一修正因子使J—A2的控制区进一步扩大，得到的结果与有限元分析结果相当吻合。在计算各单边缺口弯曲试件裂纹端的应力场后，得到了不同深浅裂纹的约束参数A2。同时，为了将实验得到的18G2A钢的JR曲线应用于实际裂纹构件，建立了JR曲线与约束参数A2之间的关系，给出了与约束参数A2相关的JR曲线族的表达式。由此预测的JR曲线与实验数据吻合较好，具有较好的工程应用价值。     

Effect of crack-tip plasticity on crack length estimation methods for SENB sample

This note is a discussion of “Crack length calculation for bend specimens under static and dynamic loading” by Jiang FC, Rohatgi A, Vecchio KS, Adharapurapu RR [Engineering Fracture Mechanics 2004;71:1971-85]. Crack-tip plasticity of SENB samples were evaluated and its effect on unloading compliance and crack length estimation were assessed by the FEA method.     

Corrected stress intensity factor solution for a British standard single edge notched tension (SENT) specimen

This paper revisits a complicated analytical solution of the stress intensity factor K adopted in a newly published British standard BS 8571:2014 for clamped single edge notched tension (SENT) specimens. Comparison with existing numerical results of K shows that the analytical K solution in BS 8571 is correct only for the crack length to specimen width ratio a/W ≤ 0.6, but incorrect for a/W > 0.6. A reinvestigation is thus performed using the crack compliance method, and a corrected K solution is obtained for the BS 8571 clamped SENT specimens over the full range of a/W. On this basis, a simple closed‐form solution of K is obtained using the best curve fitting with an accuracy within 1% for crack sizes up to a/W = 0.98. Results show that the proposed closed‐form solution of K agrees well with the numerical results of K for the clamped SENT specimens.     

Mixed mode brittle fracture in epoxy/multi-walled carbon nanotube nanocomposites

The effects of multi-walled carbon nanotubes (MWNTs) on fracture behavior of epoxy under mixed mode I/II loading have been studied. A number of test specimens based on different contents of MWNTs were prepared and the fracture tests were carried out. The increase in fracture resistance of the nanocomposite depended on the mode mixity. To find the reason, the fracture mechanisms in different modes of fracture were studied by examination of the fracture surfaces. It was found that in addition to the mechanisms, which contribute in mode I fracture, some extra mechanisms participate in mixed mode and mode II loading.     

Dynamic correction factors for K and G in high rate, SENB, impact tests

An analysis is given for the response of an impact loaded beam with a contact stiffness at the load point. The full frequency range is calculated and this is used to calculate the correction factors for the stress intensity factor and for the energy release rate as functions of loading time. These depend on the ratio of the contact to beam stiffness, , and both experimental and analytical schemes for finding are described. The procedures for finding are explored for one set of data on an epoxy resin in the speed range 0.2–28 ms^–1. Good agreement is found for these various methods. K _d shows a substantial increase at high speed while G _d varies only slightly. The analysis scheme seems to work well overall.     

新的断裂韧性强度测试方法—桥式压痕法研究

采用一种新的桥式压痕法对两种陶瓷材料的断裂韧性强度进行了测试,并予以评价,实验结果表明,桥式压痕法(日本式裂纹)不仅适用于硬金属材料的断裂韧性强度测量,同时也适用于氮化硅等脆性材料,与其它测量方法相比,桥式压痕法所测取的K_(10)值是可信的。