journal article·2007-12-03

Analytical Solutions for Stress Intensity Factor, T-Stress and Weight Function for the Edge-Cracked Half-Space

Theo Fett, Gabriele Rizzi, Hans-Achim Bahr, Ute Bahr, Van-Bac Pham, Herbert Balke

International Journal of Fracture· Volume 146· Issue 3
Publisher page

Abstract

An analytical solution for the linear-elastic problem of an edge-cracked semi-infinite body was given already in 1957. For the numerical evaluation of this solution an iteration procedure had to be applied. This might be the reason why the related analysis was not commonly used. By means of powerful mathematical tools developed in the last years it is now possible to evaluate highly-precise stress intensity factors, T-stress terms, weight functions etc. This will be shown in this paper in detail.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Engineering Structural Analysis Methods

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References (9)

Show source-provided references
1. Broberg K.B. (2002). quoted in: S. Melin, The influence of the T-stress on the directional stability of cracks. International Journal of Fracture 114: 259-26510.1023/A:1015521629898 ↗
2. Fett T. (1998). T-stresses in rectangular plates and circular disks. Engineering Fracture Mechanics 60, 631-65210.1016/S0013-7944(98)00038-1 ↗
3. Fett, T., Munz, D. (1997). Stress Intensity Factors and Weight Functions, Computational Mechanics Publications, Southampton, UK.
4. Fett, T. (2002). T-Stress and Stress Intensity Factor Solutions for 2-Dimensional Cracks, VDI-Verlag, Düsseldorf, Germany.
5. Fett, T., Rizzi, G., Bahr, H.-A., Bahr, U., Pham, V. B., Balke, H. A general weight function approach to compute mode-II stress intensity factors and crack paths for slightly curved or kinked cracks in finite bodies, to be published in Engineering Fracture Mechanics
6. Mathematica 5.0, Wolfram Research Inc., USA.
7. Rice J.R. (1972). Some remarks on elastic crack-tip stress fields. International Journal of Solids and Structures 8, 751-75810.1016/0020-7683(72)90040-6 ↗
8. Wigglesworth L.A. (1957). Stress distribution in a notched plate. Mathematica 4, 76-96
9. Williams M.L. (1957). On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics 24: 109-11410.1115/1.4011454 ↗