Stress intensity factors for the penny-shaped crack problem with boundary traction of power function form

1996 ◽  
Vol 75 (4) ◽  
pp. R71-R76
Author(s):  
Y. Z. Chen
Keyword(s):  
Stress Intensity ◽  
Power Function ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Function Form ◽  
Intensity Factors ◽  
Penny Shaped Crack ◽  
Shaped Crack

Stress Analysis of a Penny-Shaped Crack Located Between Two Spherical Cavities in an Infinite Solid

1980 ◽  
Vol 47 (4) ◽  
pp. 806-810 ◽  
Author(s):  
H. Hirai ◽  
M. Satake
Keyword(s):  
Stress Intensity ◽  
Stress Analysis ◽  
Stress Intensity Factors ◽  
Harmonic Functions ◽  
Linear Equations ◽  
Intensity Factors ◽  
Cylindrical Coordinates ◽  
Spherical Cavities ◽  
Penny Shaped Crack ◽  
Shaped Crack

The problem of a penny-shaped crack located between two spherical cavities in an infinite solid subjected to uniaxial loads is considered. Using transformations between harmonic functions in cylindrical coordinates and those in spherical ones, the problem is reduced to nonhomogeneous linear equations. The obtained equations are solved numerically and the influence of the two spherical cavities upon the stress-intensity factors at the penny-shaped crack tip is shown graphically.

Dynamic Stress-Intensity Factors for Penny-Shaped Crack in Twisted Plate

1980 ◽  
Vol 47 (4) ◽  
pp. 963-965 ◽  
Author(s):  
B. M. Singh ◽  
J. B. Haddow ◽  
J. Vrbik ◽  
T. B. Moodie
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Penny Shaped Crack ◽  
Shaped Crack

Weight functions for curved crack fronts using bem

1993 ◽  
Vol 28 (2) ◽  
pp. 67-78 ◽  
Author(s):  
R Bains ◽  
M H Aliabadi ◽  
D P Rooke
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Front ◽  
Three Dimensional ◽  
Function Technique ◽  
Weight Functions ◽  
Intensity Factors ◽  
Penny Shaped Crack ◽  
Curved Crack ◽  
Shaped Crack

This paper presents an efficient numerical weight function technique, based on the boundary element method, for the determination of stress intensity factors of curved crack fronts in three-dimensional finite bodies. The weight functions are based on the notion of fundamental fields, which are defined from point loads acting at the crack front. A regularization procedure that incorporates the fundamental fields of the penny-shaped crack in an infinite elastic body is used to obtain weight functions for a penny-shaped edge crack in a cylindrical bar. Stress intensity factors for elliptical crack fronts can be generated by employing the properties of the fundamental fields at the load points on the crack front. Stress intensity factor variations along the crack-fronts are presented when these finite cracked geometries are subjected to various loads that produce mode I deformation of the crack faces. Wherever possible, solutions are compared with values published in the literature and are found to be in good agreement.

Analysis of Branched Interface Cracks Between Dissimilar Anisotropic Media

1989 ◽  
Vol 56 (4) ◽  
pp. 844-849 ◽  
Author(s):  
G. R. Miller ◽  
W. L. Stock
Keyword(s):  
Stress Intensity ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Crack Branching ◽  
Intensity Factors ◽  
Function Solution ◽  
Special Cases ◽  
Branch Crack

A solution is presented for the problem of a crack branching off the interface between two dissimilar anisotropic materials. A Green’s function solution is developed using the complex potentials of Lekhnitskii (1981) allowing the branched crack problem to be expressed in terms of coupled singular integral equations. Numerical results for the stress intensity factors at the branch crack tip are presented for some special cases, including the no-interface case which is compared to the isotropic no-interface results of Lo (1978).

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