Analysis of Stress Intensity Factor for Cracked Flattened Brazilian Disk: Part I – Analysis Method and Pure Mode I Crack

2012 ◽  
Vol 525-526 ◽  
pp. 85-88 ◽  
Author(s):  
Shi Ming Dong ◽  
Qing Yuan Wang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Closed Form Expression ◽  
Mode I ◽  
Pure Mode ◽  
Analysis Method ◽  
The Finite Element Method ◽  
Brazilian Disk ◽  
Mode I Loading

In order to solve the problem how to calculate the stress intensity factor for a cracked flattened Brazilian disk under mode I loading, the finite element method was employed to analyze the stress intensity factor for the cracked flattened Brazilian disk under mode I loading, based on the closed-form expression of the stress intensity factor for a cracked Brazilian disk subjected to pressure. The analyzed result shows that within the certain range of the load distribution angle, the formula of the stress intensity factor for the cracked Brazilian disk can be directly used to calculate the stress intensity factor for the cracked flattened Brazilian disk under mode I loading.

Effect of Confining Pressure on Stress Intensity Factors for Cracked Brazilian Disk

2015 ◽  
Vol 07 (03) ◽  
pp. 1550051 ◽  
Author(s):  
Wen Hua ◽  
Jigang Xu ◽  
Shiming Dong ◽  
Jizhou Song ◽  
Qingyuan Wang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Stress Intensity Factors ◽  
Confining Pressure ◽  
Mode Ii ◽  
Pure Mode ◽  
Intensity Factors ◽  
Brazilian Disk ◽  
Mode Ii Crack

An analytical model, verified by the finite element method, is developed to study the effect of confining pressure on stress intensity factors for the cracked Brazilian disk. The closed-form expressions for stress intensity factors under both confining pressure and diametric forces are obtained based on the weight function method. The results show that the confining pressure has no effect on the mode II stress intensity factor; however, the mode I stress intensity factor decreases with the increase of confining pressure and the change may be above 100% for a large confining pressure. In addition, the effect of confining pressure on the loading condition of pure mode II crack is also investigated. It is shown that the critical loading angle for pure mode II crack decreases as the confining pressure increases. Depending on the magnitude of confining pressure, the failure problem of a disk may be no longer a pure fracture problem. These results have established the theoretical foundation to measure the fracture toughness of materials under confining pressure.

scholarly journals Numerical Investigation on Crack Propagation for a Central Cracked Brazilian Disk Concerning Friction

2021 ◽  
Vol 11 (6) ◽  
pp. 2839
Author(s):  
Jiuzhou Huang ◽  
Xin Pan ◽  
Jianxiong Li ◽  
Shiming Dong ◽  
Wen Hua
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Crack Propagation ◽  
Relative Length ◽  
Mode I ◽  
Brazilian Disk ◽  
Crack Type ◽  
T Stress ◽  
Crack Propagation Angle

This paper concerns the effect of friction on crack propagation for the centrally cracked Brazilian disk under diametric forces by using a modified finite element method. It shows that the mode II stress intensity factor decreases obviously with the increase of friction after the crack is closed, while friction has no influence on the stress intensity factor of mode I and T-stress. Meanwhile, there are some significant influences on the crack propagation due to the change of the friction after the crack is closed with the appropriate loading angle and relative length of the crack. When T-stress is positive, the effect of friction becomes obvious and the crack propagation angle increases with a lager friction coefficient. With increasing the friction, the deviation for the crack propagation trajectory increases and the curvature of path decreases, which may lead to the change of crack type. Additionally, the larger relative crack length can amplify the effect of friction, which is similar to the loading angle.

Calculate the Stress Intensity Factor by ANSYS

2013 ◽  
Vol 838-841 ◽  
pp. 2250-2253
Author(s):  
Zhi Wei Yu ◽  
Sheng Guo Cheng ◽  
Zhao Rong Jiang
Keyword(s):  
Stress Intensity Factor ◽  
Finite Element ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Analytic Solution ◽  
Mode I ◽  
Mode I Crack ◽  
The Finite Element Method ◽  
Finite Element Software ◽  
Very High

Mode I crack for an example, this paper conducts the introduction and analysis of the use of finite element software ANSYS to calculate the stress intensity factor approaches. Compared the stress intensity factor values with the analytic solution, it shows that the finite element method to calculate the stress intensity factor has a very high precision, and easy to operate.

ELASTODYNAMIC STRESS INTENSITY FACTOR FOR A FINITE CRACK IN ELASTIC SOLID UNDER 3D TRANSIENT LOADING OF MODE I

2013 ◽  
Vol 05 (04) ◽  
pp. 1350044
Author(s):  
XIANHONG MENG ◽  
ZHAOYU BAI ◽  
MING LI
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Integral Transform ◽  
Elastic Solid ◽  
Scattered Wave ◽  
Mode I ◽  
Finite Width ◽  
Infinite Length ◽  
Distance Ratio

In this paper, the three-dimensional dynamic problem for an infinite elastic medium weakened by a crack of infinite length and finite width is analyzed, while the crack surfaces are subjected to mode I transient linear tractions. The integral transform approach is applied to reduce the governing differential equations to a pair of coupled singular integral equations, whose solutions can be obtained with the typical iteration method. The analytical solution of the stress intensity factor when the first wave and the first scattered wave reach the investigated crack tip is obtained. Numerical results are presented for different values of the width-to-longitudinal distance ratio z/l. It is found that the stress intensity factor decreases with the arrival of the first scattered longitudinal wave and increases with the arrival of the first scattered Rayleigh wave and tends to be stable. The static value considering both the first scattered wave and the first wave is about 50% greater than that considering only the first wave, and then the effect of the reflected wave is remarkable and deserves further study.

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