Disc analogy for approaching circular arc cracks
Source abstract
Abstract
The limiting situation of a pair of approaching circular arc crack tips in a homogeneous medium is examined to draw analogies with circular disc problems. As the crack tips approach each other, the narrow material ligament bridging the crack tips controls the stresses, stress intensity factors and energy release rates. In particular, this ligament sets up the length scale for singularity analysis for a given radius of the arc crack. Following a detailed analytical examination of approaching crack tips, a photoelastic visualisation of the stress field is presented. Experimental isochromatics are also compared with theoretical predictions for some specific cases. Finally, based on the ideas developed in this paper, existing notions on interacting cracks and cavities treated in the literature are reinterpreted.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Mechanical stress and fatigue analysis · Fatigue and fracture mechanics · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (12)
Show source-provided references
1. England, A.H. (1971). Complex Variable Methods in Elasticity. Wiley Interscience, New York.
2. Gradshteyn, I.S. and Ryzhik, I.M. (1965). Tables of Integrals, Series, and Products. Academic Press, New York.
3. Markenscoff, X. and Dundurs, J. (1992). Amplification of stresses in thin ligaments. International Journal of Solids Structures 29, 1883–1888.10.1016/0020-7683(92)90179-W ↗
4. Milne-Thomson, L.M. (1968). Plane Elastic Systems. Springer-Verlag, Berlin.10.1007/978-3-642-87870-1 ↗
5. Murakami, Y. (1987). Stress intensity factors handbook. Pergamom Press, New York.
6. Muskhelishvili, N.I. (1954). Some Basic Problems of the Mathematical Theory of Elasticity. Noordhof, Groningen.
7. Prasad, P.B.N. and Simha, K.R.Y. (2002). Energy released during arc crack propagation. International Journal of Fracture 116, L3–L8.10.1023/A:1022613113389 ↗
8. Prasad, P.B.N. and Simha, K.R.Y. (2002). Interactions of interfacial arc cracks. International Journal of Fracture 117(1), 39–62.10.1023/A:1020968801152 ↗
9. Prasad, P.B.N. and Simha, K.R.Y. (2003). Interface Crack Around Circular Inclusion: SIF, Kinking, Debonding. Engineering Fracture Mechanics 70(2), 285–307.10.1016/S0013-7944(02)00026-7 ↗
10. Ramakrishna, D.S. (1995). Stress field distortion due to voids and inclusions in contact problems. PhD thesis, IISc.
11. Sih, G.C and Liebowitz, H. (1968). Fracture, Volume II, Liebowitz eds. Academic Press, New York.
12. Wu, L. and Markenscoff, X. (1996). Singular stress amplification between two holes in tension. Journal of Elasticity 44, 131–144.10.1007/BF00042474 ↗