Decomposition of the mixed-mode J-integral-revisited

International Journal of Solids and Structures

Volumn 35, Issue 17, 1998, Pages 2073-2099

  Rigby, R H ^a   Aliabadi, M H ^b  

^a BAE SYSTEMS   (United Kingdom)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; STRESS ANALYSIS;

MIXED-MODE J-INTEGRAL; NUMERICAL DECOMPOSITION;

FRACTURE MECHANICS;

EID: 0032091755     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00171-6     Document Type: Article

References (19)

1. Aliabadi, M. H. (1990) Evaluation of mixed-mode stress intensity factors using the path independent J-integrals. In Boundary Elements XII, Vol. 1, Applications in Stress Analysis, Potential and Diffusion (eds) M. Tanaka et al. CM Publications, pp. 281-292.
2. Aliabadi, M. H. and Rooke, D. P. (1991) Numerical Fracture Mechanics. Kluwer, Dordrecht and Computational Mechanics Publications, Southampton.
3. Amestoy, M., Bui, H. D. and Labbens, R. (1981) On the definition of local path independent integrals in three-dimensional crack problems. Mechanics Research Communications 8, 231-236.
4. Cherepanov, G. P. (1967) The propagation of cracks in a continuous medium. Journal of Applied Mathematics and Mechanics 31, 503-512.
5. Cherepanov, G. P. ( 1979) Mechanics of Brittle Fracture, translated and edited by R. W. De Wit and W. C. Coody. McGraw-Hill, New York.
6. Dodds, R. H. Jr and Read, D. T. (1990) Experimental and numerical studies of the J-integral for a surface flaw. International Journal of Fracture 43, 47-67.
7. Eshelby. J. D. (1970) Inelastic Behaviour of Solids (eds) M. F. Kanninen et al. McGraw-Hill. New York, pp. 77-115.
8. Hartranft, R. J. and Sih, G. C. (1969) The use of eigenfunction expansions in the general solution of three-dimensional crack problems. Journal of Mathematics and Mechanics 19, 123-138.
9. Herrmann, A. G. and Herrmann, G. (1981) On energy release rates for a plane crack. Journal of Applied Mechanics, ASME 48, 525-528.
10. Huber, O., Nickel, J. and Kuhn, G. (1993) On the decomposition of the J-integral for 3D crack problems. International Journal of Fracture 64, 339-348.
11. Ishikawa, H., Kitagawa, H. and Okamura, H. (1979) J-integral of a mixed mode crack and its application. In Proceedings of the 3rd International Conference on Mechanical Behaviour of Materials, 3, 447-455. Pergamon, Oxford.
12. de Lorenzi, H. G. (1982) On energy release rate and the J-integral for 3-D crack configuration. International Journal of Fracture 19, 183-192.
13. Murakami, T. and Sato, T. (1983) Three-dimensional J-integral calculations of part-through surface crack problems. Computers and Structures 17, 731-736.
14. Nikishkov, G. P. and Atluri, S. N. (1987a) An equivalent domain integral method for computing crack-tip integral parameters in non-elastic, thermomechanical fracture. Engineering Fracture Mechanics 26, 851-867.
15. Nikishkov, G. P. and Atluri, S. N. (1987b) Calculation of fracture mechanics parameters for an arbitrary three-dimensional crack, by the 'equivalent domain integral' method. International Journal of Numerical Methods of Engineering 24, 1801-1821.
16. Rice, J. R. (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics Transactions of the ASME 35, 379-386.
17. Rigby, R. H. and Aliabadi, M. H. (1993) Mixed-mode J-integral method for analysis of 3D fracture problems using BEM. Engineering Analysis with Boundary Elements 11, 239-256.
18. Shivakumar, K. N. and Raju, I. S. (1990) An equivalent domain integral for three-dimensional mixed mode fracture problems, NASA CR-182021.
19. Tada, H., Paris, P. C. and Irwin, G. C. (1985) The Stress Analysis of Cracks Handbook, Second edn. Paris Production Incorporation and Del Research Corporation.