Rectangular Tensile Sheet With Symmetric Edge Cracks

1964 ◽  
Vol 31 (2) ◽  
pp. 208-212 ◽  
Author(s):  
O. L. Bowie
Keyword(s):  
Stress Intensity ◽  
Mapping Function ◽  
Elastic Problem ◽  
Intensity Factors ◽  
Collinear Crack ◽  
Complex Variable Methods ◽  
Crack Tips ◽  
Length Width ◽  
Edge Cracks ◽  
Plane Elastic Problem

Complex variable methods are applied to the plane elastic problem of a rectangular tensile sheet with symmetric edge cracks. A mapping function is used which is sufficiently flexible to account for both variations of crack length and length/width ratios of the sheet on the stresses local to the crack tips. The stress-intensity factors are determined numerically for varying crack lengths in sheet with 1 × 1 and 3 × 1 length/width ratios and compared with Irwin’s earlier approximation derived from Westergaard’s collinear crack solution. The results indicate that the approximation is valid for deep cracks but in error by 13 percent for small crack depths.

Single-Edge Crack in Rectangular Sheet Subjected to End Rotations

1966 ◽  
Vol 33 (3) ◽  
pp. 689-691 ◽  
Author(s):  
J. M. Bloom
Keyword(s):  
Stress Intensity ◽  
Edge Crack ◽  
Hilbert Problem ◽  
Center Line ◽  
Single Edge ◽  
Intensity Factors ◽  
Length Width ◽  
Edge Cracks ◽  
Distribution Of Stress ◽  
Riemann Hilbert Problem

Stress-intensity factors for single-edge cracks in rectangular sheets subjected to end rotations about the center line of the rectangle are investigated. The problem of the distribution of stress around the crack tip is reduced to the solution of a Riemann-Hilbert problem. Numerical results are presented for varying crack lengths and length/width ratios of the sheet.

scholarly journals Interaction between line cracks in an orthotropic layer

2002 ◽  
Vol 29 (1) ◽  
pp. 31-42 ◽  
Author(s):  
Subir Das
Keyword(s):  
Fourier Transform ◽  
Stress Intensity ◽  
Finite Thickness ◽  
Intensity Factors ◽  
Orthotropic Layer ◽  
Finite Hilbert Transform ◽  
Crack Tips ◽  
The Fourier Transform ◽  
Analytical Expressions ◽  
Elastostatic Problem

We deal with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic layer of finite thickness2h. The Fourier transform technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved by using the finite Hilbert transform technique and Cooke's result. The analytical expressions for the stress intensity factors at the crack tips are obtained for largeh. Numerical values of the interaction effect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to each other and crack tip spacing as well as the thickness of the layer.

Acousto-elastic measurement of stress and stress intensity factors around crack tips

Ultrasonics ◽  
1983 ◽  
Vol 21 (2) ◽  
pp. 57-64 ◽  
Author(s):  
A.V. Clark ◽  
R.B. Mignogna ◽  
R.J. Sanford
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Intensity Factors ◽  
Crack Tips
Sign in / Sign up

Export Citation Format

Share Document