On the Opening of a Finite Crack Normal to an Interface

1973 ◽  
Vol 40 (2) ◽  
pp. 626-628 ◽  
Author(s):  
N. E. Ashbaugh
Keyword(s):  
Finite Crack

The Effect of a Stringer on the Stress in a Cracked Sheet

1965 ◽  
Vol 32 (1) ◽  
pp. 59-66 ◽  
Author(s):  
Robert Greif ◽  
J. L. Sanders
Keyword(s):  
Integral Equation ◽  
Tensile Stress ◽  
Plane Stress ◽  
Complex Variable ◽  
Concentration Factor ◽  
Stress Singularity ◽  
Maximum Load ◽  
Great Distance ◽  
Variable Approach ◽  
Finite Crack

An infinite stringer is assumed to be continuously attached to a sheet along a line perpendicular to a finite crack. At a great distance from the crack, the sheet is under a uniform tensile stress parallel to the stringer. The plane-stress solution for this problem is carried out by using the complex variable approach of Muskhelishvili to derive an integral equation which is then solved numerically on the IBM 7090 computer. In particular, the effect of the stringer on the strength of the stress singularity at the crack tip, and the maximum load-concentration factor in the stringer are found.

Representation of Finite Cracks by Dislocation Pileups: An Application to Atomic Simulation of Fracture

1995 ◽  
Vol 408 ◽  
Author(s):  
Vijay Shastry ◽  
Diana Farkas
Keyword(s):  
Displacement Field ◽  
Anisotropic Body ◽  
Interatomic Interaction ◽  
Elastic Displacement ◽  
Mode I ◽  
Multiple Cracks ◽  
Atomic Simulation ◽  
Variable Approach ◽  
Finite Crack ◽  
Eam Potential

AbstractThe elastic displacement field solution of a semi-infinite crack in an anisotropic body, calculated using a complex variable approach due to Sih and Liebowitz, is usually used by atomistic simulations of fracture. The corresponding expression for the displacement field of a finite crack is numerically cumbersome since it involves multiple square roots of complex numbers. In this study, displacement field of the crack is calculated by superposing the displacements of dislocations in an equivalent double pileup, equilibrated under mode I conditions. An advantage of this method is its extensibility to atomistic studies of more complex systems containing multiple cracks or interfaces. The pileup representation of the finite crack is demonstrated as being equivalent to its corresponding continuum description using the example of a double ended crack in α-Fe, loaded in mode I. In these examples, the interatomic interaction in α-Fe is described by an empirical embedded atom (EAM) potential.

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