Stress Field Analysis of Mode II Periodic Cracks-Tip

2011 ◽  
Vol 243-249 ◽  
pp. 5989-5993 ◽  
Author(s):  
Chan Li ◽  
Xue Xia Zhang ◽  
Jian Zhang ◽  
Xiao Chao Cui
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Complex Function ◽  
Field Analysis ◽  
Mechanical Problem ◽  
Complex Function Theory ◽  
Concentrated Force ◽  
Stress Field Analysis ◽  
Periodic Cracks

The cracks-tip field on ModeⅡperiodic cracks of infinite orthotropic fiber reinforcement composite plate subjected to the concentrated force was studied. With the introduction of the Westergaard stress function and application of complex function theory and undetermined coefficients method, mechanical problem is changed into partial differential boundary value problem. Owing to the distribution of periodic cracks, stress intensity factor(SIF) depends on the shape factor, which is greatly influenced by the crack spacing and the crack length. The results show that interaction happens between the periodic cracks, and that scale effect of the stress intensity factor in cracks-tip is obvious.

An Infinite Plate Weakened by Periodic Cracks

2002 ◽  
Vol 69 (4) ◽  
pp. 552-555 ◽  
Author(s):  
Y. Z. Chen ◽  
K. Y. Lee
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Eigenfunction Expansion ◽  
Infinite Plate ◽  
Elastic Response ◽  
Shear Stresses ◽  
Orthotropic Medium ◽  
T Stress ◽  
Periodic Cracks

An infinite plate weakened by doubly distributing cracks is studied in this paper. Two loading cases, the remote tension and the remote shear stresses, are assumed. Analysis is performed for a cracked cell cut from the infinite plate. It is found that the eigenfunction expansion variational method is efficient to solve the problem. The stress intensity factor, the T-stress, and the elastic response are evaluated. The cracked plate can be equivalent to an orthotropic medium without cracks. The equivalent elastic constants are presented.

Analysis of Mode III Collinear Periodic Cracks-Tip Stress Field of an Infinite Orthotropic Plate

2012 ◽  
Vol 446-449 ◽  
pp. 2080-2084 ◽  
Author(s):  
Xue Xia Zhang ◽  
Chan Li ◽  
Xiao Chao Cui ◽  
Wen Bin Zhao
Keyword(s):  
Crack Length ◽  
Stress Function ◽  
Function Theory ◽  
Complex Function ◽  
Mode Iii ◽  
Mechanical Problem ◽  
Complex Function Theory ◽  
Plane Shear ◽  
Periodic Cracks ◽  
The Given

The cracks-tip field on collinear periodic cracks of infinite orthotropic fiber reinforcement composite plate subjected to anti-plane shear force is studied in this paper. With the introduction of the Westergaard stress function and application of complex function theory and undetermined coefficients method, mechanical problem is changed into partial differential boundary value problem. The undetermined coefficients and the stress function are obtained with the help of boundary conditions. Due to the distribution of periodic cracks, stress intensity factor depends on the shape factor. The results show that interaction happens between the collinear periodic cracks. When the ratio of crack length and crack spacing is less than 1/3, the interaction between the cracks is very small. When the ratio gradually increases to 1, strong interaction between the cracks will be found. Cracks-tip field has scale effect. When the ratio of crack length and the given reference crack length decreases, the displacement field is significantly smaller.

The Antiplane Shearing Problem of Circular Holes with 2k Periodic Cracks in One-Dimensional Hexagonal Quasicrystals

2014 ◽  
Vol 915-916 ◽  
pp. 1086-1095
Author(s):  
Lu Guan ◽  
Zhu Chen
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Conformal Mapping ◽  
Complex Analysis ◽  
Analytic Solution ◽  
Crack Tip ◽  
One Dimensional ◽  
Circular Holes ◽  
Periodic Cracks

Using the method of complex analysis and by constructing conformal mapping, the study investigated the antiplane shearing problem of circular holes with 2k periodic cracks in one-dimensional hexagonal quasicrystals. Wherefrom we simulated the problem of antiplane shearing in circular holes of cross-cracks, single-cracks, symmetrical double-cracks, symmetrical four-cracks, as well as periodic straight cracks, and provided an analytic solution to the crack tip stress intensity factor (SIF).

scholarly journals Analysis of Sheet Fracture Failure Based on XFEM

2015 ◽  
Vol 9 (1) ◽  
pp. 887-891
Author(s):  
Xinya Chen ◽  
Zhen Chen ◽  
Yang Zhao
Keyword(s):  
Finite Element Method ◽  
Stress Intensity Factor ◽  
Finite Element ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Extended Finite Element Method ◽  
Extended Finite Element ◽  
Mechanical Problem ◽  
Fracture Failure ◽  
Growth Problem

Extended finite element method (XFEM) is the most effective numerical method to solve discrete mechanical problem. Crack growth problem of two-dimension finite length rectangle panel is researched based on Abaqus XFEM frame. Stress intensity factor is obtained respectively by theoretical calculation and XFEM simulation, which proves reliability of XFEM and the software.

A Method for Stress Intensity Factor Calculation of Typical MSD Configurations

2013 ◽  
Vol 700 ◽  
pp. 149-152 ◽  
Author(s):  
Jin Fang Zhao ◽  
Qun Zhao
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Function Method ◽  
Complex Function ◽  
Calculation Process ◽  
Complex Function Method

This paper introduced compounding method to calculate the SIF of typical MSD configurations. Complex function method was proposed to calculate the modification coefficient of the adjacent holes. Combining the method with compounding method, the SIF calculation of typical MSD configurations was achieved. The calculation process is easy to operate and the results are reliable which can be verified by FEM calculation. By studying the SIF results of typical MSD configurations, a series of conclusions with practical value in engineering can be obtained.

The Antiplane Shearing Problem of Circular Holes with 4k Periodic Cracks in One-Dimensional Hexagonal Quasicrystals

2015 ◽  
Vol 744-746 ◽  
pp. 1640-1647
Author(s):  
Zhu Chen
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Conformal Mapping ◽  
Complex Analysis ◽  
Analytic Solution ◽  
Crack Tip ◽  
One Dimensional ◽  
Circular Holes ◽  
Periodic Cracks

Using the method of complex analysis and by constructing conformal mapping, the study investigated the antiplane shearing problem of circular holes with 4k periodic cracks in one-dimensional hexagonal quasicrystals. Wherefrom we simulated the problem of antiplane shearing in circular holes of cross-cracks, symmetrical four-cracks, as well as symmetrical eight-cracks, and provided an analytic solution to the crack tip stress intensity factor (SIF).

Damage accumulation near a hole under low cycle fatigue proceeding from measurements of local deformation response

2020 ◽  
Vol 86 (10) ◽  
pp. 46-55
Author(s):  
S. I. Eleonsky ◽  
Yu. G. Matvienko ◽  
V. S. Pisarev ◽  
A. V. Chernov
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Damage Accumulation ◽  
Stress Ratio ◽  
Low Cycle Fatigue ◽  
Accumulation Process ◽  
Stress Range ◽  
Cycle Fatigue ◽  
Deformation Response

A new destructive method for quantitative determination of the damage accumulation in the vicinity of a stress concentrator has been proposed and verified. Increase of damage degree in local area with a high level of the strain gradient was achieved through preliminary low-cycle pull-push loading of plane specimens with central open holes. The above procedure is performed for three programs at the same stress range (333.3 MPa) and different stress ratio values 0.33, – 0.66 and – 1.0, and vice versa for two programs at the same stress ratio – 0.33 and different stress range 333.3 and 233.3 MPa. This process offers a set of the objects to be considered with different degree of accumulated fatigue damages. The key point of the developed approach consists in the fact that plane specimens with open holes are tested under real operation conditions without a preliminary notching of the specimen initiating the fatigue crack growth. The measured parameters necessary for a quantitative description of the damage accumulation process were obtained by removing the local volume of the material in the form of a sequence of narrow notches at a constant level of external tensile stress. External load can be considered an amplifier enhancing a useful signal responsible for revealing the material damage. The notch is intended for assessing the level of fatigue damage, just as probe holes are used to release residual stress energy in the hole drilling method. Measurements of the deformation response caused by local removing of the material are carried out by electronic speckle-pattern interferometry at different stages of low-cycle fatigue. The transition from measured in-plane displacements to the values of the stress intensity factor (SIF) and the T-stress was carried out on the basis of the relations of linear fracture mechanics. It was shown that the normalized dependences of the stress intensity factor on the durability percentage for the first notch (constructed for four programs of cyclic loading with different parameters), reflect the effect of the stress ratio and stress range of the loading cycle on the rate of damage accumulation. The data were used to obtain the explicit form of the damage accumulation function that quantitatively describes damage accumulation process. The functions were constructed for different stress ratios and stress ranges.

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