Weight function for an elliptical planar crack embedded in a homogeneous elastic medium
Source abstract
Abstract
The method of simultaneous dual integral equations is used for obtaining the exact analytical solution for the weight function for an elliptical crack embedded in an infinite elastic solid. We show that the solution is unique and can be reduced to the known solutions for a number of particular cases.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Contact Mechanics and Variational Inequalities
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (15)
Show source-provided references
1. Andrews GE, Askey R, Roy R (2000) Special functions. Cambridge University Press, Cambridge
2. Atroshchenko E, Potapenko S, Glinka G (2009) Stress intensity factor for an embedded elliptical crack under arbitrary normal loading. Int J Fatigue 31:1907–191010.1016/j.ijfatigue.2008.12.004 ↗
3. Banks-Sills L (1988) A three-dimensional weight function method. In: Fracture mechanics: nineteenth symposium, ASTM STP, vol 969. pp 620–63610.1520/STP33097S ↗
4. Borodachev NM (1998) A method of constructing a weight function for a body with a crack. J Appl Math Mech 62: 303–30710.1016/S0021-8928(98)00039-2 ↗
5. Broberg KB (1999) Cracks and fracture. Academic Press, San-Diego
6. Bueckner HF (1970) A novel principle for the computation of stress intensity factors. Zeitschrift fur Angenwandte Mathematik and Mechanik 50: 529–546
7. Heo SP, Yang WH (2002) Stress intensity factor analysis of elliptical corner cracks in mechanical joints by weight function method. Int J Fract 115(4): 377–39910.1023/A:1016324212090 ↗
8. Heo SP, Yang WH (2003) Approximate weight function method for elliptical arc through cracks in mechanical joints. Eng Fract Mech 70(9): 1171–119210.1016/S0013-7944(02)00092-9 ↗
9. Kupradze VD (1979) Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. North-Holland, Amsterdam
10. Panasyuk VV (2002) Strength and fracture of solids with cracks. National Academy of Sciences of Ukrain, Lviv
11. Rice J (1972) Some remarks on elastic crack tip field. Int J Solids Struct 8: 751–75810.1016/0020-7683(72)90040-6 ↗
12. Sneddon IN, Lowengrub M (1966) Crack problems in the classical theory of elasticity. Wiley, New York
13. Wang X, Lambert S, Glinka G (1998) Approximate weight functions for embedded elliptical cracks. Eng Fract Mech 59(3): 381–39210.1016/S0013-7944(97)00139-2 ↗
14. Wen PH, Aliabadi MH, Rooke DP (1998) Variational technique for boundary element analysis of 3D fracture mechanics weight functions: static. Int J Numer Methods Eng 42(8): 1409–142310.1002/(SICI)1097-0207(19980830)42:8<1409::AID-NME426>3.0.CO;2-Z ↗
15. Wen PH, Aliabadi MH, Rooke DP (1996) A weight function technique in three-dimensional fracture mechanics: static and dynamic. Int J Fract 78(2): 101–11510.1007/BF00034519 ↗