Simulating three-dimensional stress intensity factors by the least-squares method

International Journal for Numerical Methods in Engineering

Volumn 43, Issue 8, 1998, Pages 1437-1451

  Ju, S H ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Crack; Finite element method; J integral; Least squares method; Stress intensity factor; Three dimensional

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CRACKS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; STRESS ANALYSIS;

J INTEGRAL;

STRESS INTENSITY FACTORS;

EID: 0032301640     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19981230)43:8<1437::AID-NME477>3.0.CO;2-9     Document Type: Article

References (16)

1. G. P. Nikishkov and S. N. Atluri, 'Calculation of fracture mechanics parameters for an arbitrary three-dimensional crack, by the equivalent domain integral method', Int. J. Numer. Meth. Engng., 24, 1801-1821 (1987).
2. O. Huber, J. Nickel and G. Kuhn, 'On the decomposition of the J-integral for 3D crack problems', Int. J. Fracture, 64, 339-348 (1993).
3. K. N. Shivakumar and I. S. Raju, 'An equivalent domain integral method for three-dimensional mixed-mode fracture problems', Engng. Fracture Mech., 42, 935-955 (1992).
4. K. C. Wu, 'Representations of stress intensity factors by path-independent integrals', J. Appl. Mech. ASME, 56, 780-785 (1989).
5. Satya N. Alturi, Structural Integrity and Durability, Tech Science Press, Georgia, U.S.A., 1997, pp. 797-811.
6. S. H. Ju, 'Simulating stress intensity factors for anisotropic materials by the least-squares method', Int. J. Fracture, 81, 283-297 (1996).
7. G. R. Irwin, Fracture I, Handbuch der physik VI, Flugge (ed.), Springer, Berlin, 1958, pp. 551-590.
8. G. S. Sih, P. C. Paris and G. R. Irwin, 'On cracks in rectilinearly anisotropic bodies,' Int. J. Fracture, 1, 189-203 (1965).
9. S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco, 1963.
10. S. H. Ju, 'Creep-fatigue analysis of solder joints', Ph.D. Thesis, University of Wisconsin-Madison, 1993.
11. R. D. Henshell and K. G. Shaw, 'Crack tip elements are unnecessary', Int. J. Numer. Meth. Engng., 9, 495-509 (1975).
12. R. S. Barsoum, 'On the use of isoparametric finite elements in linear fracture mechanics', Int. J. Numer. Meth. Engng., 10, 25-38 (1976).
13. G. P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York, 1979.
14. M. K. Kassir and G. C. Sih, 'Three-dimensional stress distribution around an elliptical crack under arbitrary loadings', J. Appl. Mech. ASME, 33, 601-611 (1966).
15. G. C. Shih, 'External cracks under longitudinal shear', J. Franklin Inst., 280, 139-149 (1965).
16. G. C. Shih and E. P. Chen, 'Moving cracks in a finite strip under tearing action', J. Franklin Inst., 290, 25-35 (1970).