Numerical Method for Determining Stress Intensity Factors of an Interior Crack in a Finite Plate

1971 ◽  
Vol 93 (4) ◽  
pp. 685-690 ◽  
Author(s):  
W. K. Wilson
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Stress Function ◽  
Outer Boundary ◽  
Normal Derivative ◽  
Crack Edge ◽  
Rectangular Plates ◽  
Airy Stress Function ◽  
Intensity Factors ◽  
Plate Edge

A boundary collocation method for estimating the stress intensity factors for a through-thickness interior crack in a plate of arbitrary geometry and arbitrary in-plane loading on the plate outer-boundary and crack surfaces is presented. The collocation is carried out on an Airy stress function which is derived from a previously given complex stress function. Various types of boundary collocation procedures are investigated. It is shown that collocation on the Airy stress function and its normal derivative gives the most accurate results. The method is applied to rectangular plates containing center cracks of arbitrary angular orientation. A number of plate edge and crack edge loading conditions are analyzed. The stress intensities calculated by this method compare very favorably with existing solutions for cases in which such solutions are available.

A Green’s Function for the Stress-Intensity Factors of Edge Cracks and Its Application to Thermal Stresses

1969 ◽  
Vol 91 (4) ◽  
pp. 618-624 ◽  
Author(s):  
A. F. Emery ◽  
G. E. Walker ◽  
J. A. Williams
Keyword(s):  
Stress Intensity ◽  
Green’S Function ◽  
Green's Function ◽  
Stress Intensity Factors ◽  
Thermal Stresses ◽  
Rectangular Plates ◽  
Intensity Factors ◽  
Edge Cracks ◽  
Predicted Values ◽  
Transient Thermal

A Green’s function for the computation of stress-intensity factors for edge cracks in rectangular plates is given for any distribution of stress in the uncracked plate which is tensile over the crack length. The function is used to compute stress intensity factors for transient thermal stresses produced by sudden cooling of one edge. Experimentally measured stresses and stress-intensity factors are given and shown to be in good agreement with the predicted values.

Collinear Internal Cracks and Edge Crack in a Semi-Infinite Sheet Subjected to Arbitrary Tractions

1995 ◽  
Vol 117 (3) ◽  
pp. 256-259 ◽  
Author(s):  
T. Nishimura
Keyword(s):  
Stress Intensity ◽  
Numerical Analysis ◽  
Integral Equations ◽  
Stress Intensity Factors ◽  
Edge Crack ◽  
Mutual Interaction ◽  
Internal Crack ◽  
Intensity Factors ◽  
Plate Edge

The stress intensity factors are calculated for collinear internal cracks and an edge crack in a semi-infinite sheet subjected to arbitrary tractions. Analysis is conducted by formulating the integral equations of tractions along the plate edge and crack surfaces. The accuracy is checked with known results in the literature. Then, the numerical analysis is used to establish the stress intensity factors for various sizes of the edge crack and internal cracks in tension. Also, the stress intensity factors are calculated for the edge crack and internal crack subjected to typical distributed loadings, and the effects of mutual interaction between the cracks are presented.

Partial Slip Rolling Wheel-Rail Contact With a Slant Rail Crack

2004 ◽  
Vol 126 (3) ◽  
pp. 450-458 ◽  
Author(s):  
Yung-Chuan Chen ◽  
Jao-Hwa Kuang
Keyword(s):  
Stress Intensity ◽  
Contact Stress ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Crack Edge ◽  
Contact Model ◽  
Partial Slip ◽  
Stress Distributions ◽  
Intensity Factors ◽  
Normal Contact

This paper investigates the tip characteristics of an oblique crack in the wheel-rail contact problem. The wheel-rail normal contact pressure and interfacial shear stress distributions, and the stress intensity factors (SIF), are studied for oblique cracks of different inclinations, and the variations in both contact stress distributions near the crack edge are simulated under normal and traction loads, respectively. Contact elements are employed to model the interactions between the wheel-rail contact surfaces and the crack surfaces, respectively. The effects of crack orientation, crack length, and contact distance on the contact stress distributions and stress intensity factors, KI and KII, are investigated. The results indicate that a wheel-rail traction force reduces KII significantly as the contact point travels over the crack edge. Furthermore, fluctuations in KI and KII are very significant with regard to early squat propagation of cracks. The results also demonstrate that applying Carter’s contact model or the full slip contact model to the same wheel-rail contact crack problem yields significantly different stress intensity factor values.

Limitations of the Westergaard equations for experimental evaluations of stress intensity factors

1976 ◽  
Vol 11 (3) ◽  
pp. 177-185 ◽  
Author(s):  
W T Evans ◽  
A R Luxmoore
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Stress Function ◽  
Biaxial Tension ◽  
Infinite Plate ◽  
Experimental Measurements ◽  
Intensity Factors ◽  
Central Crack

The full equations for stresses and displacements around a central crack, in an infinite plate subjected to uniaxial and biaxial tension, are determined using the Westergaard stress function. These are compared quantitatively with the usual approximate forms, in order to assess the range of validity of the latter for use in experimental measurements of stress intensity factors.

Fracture Mechanics Analysis of Interfacial Crack in Anisotropic Bi-Materials

2011 ◽  
Vol 467-469 ◽  
pp. 1044-1049 ◽  
Author(s):  
Jyun Yong Jhan ◽  
Chao Shi Chen ◽  
Chia Huei Tu ◽  
Chien Chung Ke
Keyword(s):  
Integral Equation ◽  
Stress Intensity ◽  
Fracture Mechanics ◽  
Stress Intensity Factors ◽  
Domain Boundary ◽  
Outer Boundary ◽  
Interfacial Crack ◽  
Intensity Factors ◽  
Infinite Domain ◽  
Mechanics Analysis

This paper presents a single-domain boundary element method (BEM) for linear elastic fracture mechanics analysis in the two-dimensional anisotropic bi-materials. In this formulation, the displacement integral equation is applied on the outer boundary only, and the traction integral equation is applied on one side of the crack surface only. A special interfacial crack-tip element was introduced to capture exactly the oscillatory behavior. The computer program with the FORTRAN code has been developed to effectively calculate the stress intensity factors (SIFs) of an interfacial crack within anisotropic bi-materials. This BEM program has been verified having a good accuracy with the previous researches. Furthermore, by analyzing the different anisotropic degree of interfacial crack in an infinite domain, we found that the stress intensity factors of interfacial crack tips had apparent influence by the geometry forms of cracks and media with different anisotropic degrees.

DETERMINATION OF RESIDUAL STRESSES AND STRESS INTENSITY FACTORS BY REMOVING LOCAL MATERIAL

2017 ◽  
Vol 48 (4) ◽  
pp. 377-398
Author(s):  
Svyatoslav Igorevich Eleonskii ◽  
Igor Nikolaevich Odintsev ◽  
Vladimir Sergeevich Pisarev ◽  
Stanislav Mikhailovich Usov
Keyword(s):  
Stress Intensity ◽  
Residual Stresses ◽  
Stress Intensity Factors ◽  
Intensity Factors ◽  
Local Material
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