A Variational technique for boundary element analysis of 3D fracture mechanics weight functions: Dynamic

International Journal for Numerical Methods in Engineering

Volumn 42, Issue 8, 1998, Pages 1425-1439

  Wen, P H ^a   Aliabadi, M H ^a   Rooke, D P ^b  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b DRA   (United Kingdom)

Author keywords

Dual boundary element method; Dynamic fracture mechanics; Dynamic stress intensity factor; Wave propagation

Indexed keywords

CALCULATIONS; CRACKS; DIFFERENTIATION (CALCULUS); FRACTURE MECHANICS; FUNCTIONS; INTEGRATION; LAPLACE TRANSFORMS; STRESS INTENSITY FACTORS; THREE DIMENSIONAL; VARIATIONAL TECHNIQUES; WAVE PROPAGATION;

DUAL BOUNDARY ELEMENT METHOD; DURBIN INVERSION METHOD; DYNAMIC FRACTURE MECHANICS; DYNAMIC STRESS INTENSITY FACTOR; MIXED MODE PROBLEM; WEIGHT FUNCTIONS;

BOUNDARY ELEMENT METHOD;

EID: 0032137232     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980830)42:8<1425::AID-NME427>3.0.CO;2-5     Document Type: Article

References (29)

1. H. F. Bueckner, 'A novel principle for the computation of stress intensity factors', Z. Angew Meth. Mech., 50, 529-546 (1970).
2. J. R. Rice, 'Some remarks on elastic crack-tip stress fields', Int. J. Solids Struct., 8, 751-758 (1972).
3. P. C. Paris, R. M. McMeeking and H. Tada, The weight function method for determining stress intensity factors', in J. L. Swedlow and M. L. Williams (eds.), Cracks and Fracture, STP 601, ASTM 1976, pp. 471-489.
4. Y. Bortmann and L. Banks-Sills, 'An extended weight function method for 2D and 3D-problems', J. Appl. Mech., 50, 907-909 (1983).
5. G. T. Sha and C. T. Yang, 'Weight function calculations for mixed mode fracture problems with the virtual crack extension technique', Engng. Fract. Mech., 21, 1119-1149 (1985).
6. P. H. Wen, M. H. Aliabadi and D. P. Rooke, 'Application of the weight function method to two-dimensional elastodynamic fracture mechanics', Int. J. Fracture, 76, 193-206 (1996).
7. R. S. Bains, M. H. Aliabadi and D. P. Rooke, 'Fracture mechanics weight functions in three-dimensions: subtraction of fundamental fields', Int. J. Numer. Meth. Engng., 35, 179-202 (1992).
8. J. R. Rice and L. B. Freund, 'On the determination of elastodynamic crack tip stress fields', Int. J. Solids Struct., 10, 411-417 (1974).
9. H. J. Petroski, J. L. Glazik and J. D. Achenbach, 'Construction of a dynamic weight function from a finite-element solution for a cracked beam', J. Appl. Mech., 47, 51-56 (1980).
10. J. D. Eshelby, The continuum theory of lattice defects', in F. Seitz and D. Turnbull (eds.), Solid State Physics, Vol. III, Academic Press, New York, 1956, pp. 79-117.
11. J. L. Sanders, 'On the Griffith-Irwin fracture theory', J. Appl. Mech., 27(2), Trans. ASME, 52, Ser. E, 352-353 (1960).
12. G. P. Cherepanov, 'Crack propagation in continuous media', J. Appl. Math. Mech., 31, 502-512 (1967).
13. J. R. Rice and L. B. Freund, 'On the determination of elastodynamic crack tip stress fields', Int. J. Solids and Structures, 10, 411-417 (1974).
14. P. H. Wen, M. H. Aliabadi and D. P. Rooke, 'A contour integral for the evaluation of stress intensity factors', Appl. Math. Modelling, 19, 450-455 (1995).
15. P. H. Wen, M. H. Aliabadi and D. P. Rooke, 'A contour integral for dynamic stress intensity factors', Theoret. Appl. Fract. Mech., 27, 29-41 (1997).
16. P. H. Wen, M. H. Aliabadi and D. P. Rooke, 'A weight function technique in three-dimensional fracture mechanics: static and dynamic', Int. J. Fract. Mech., 78, 101-115 (1996).
17. D. E. Beskos, 'Boundary element methods in dynamic analysis. Part II (1986-1996)', Applied Mech. Reviews, 50(3), 149-197 (1997).
18. P. H. Wen, M. H. Aliabadi and D. P. Rooke, 'A variational technique for boundary element analysis of 3D fracture mechanics weight functions: static', Int. J. Numer. Meth. Engng., 42, 1409-1423 (1998).
19. Y. Mi and M. H. Aliabadi, 'Dual boundary element method for three-dimensional fracture mechanics analysis', Engng. Anal. Boundary Elements, 10, 161-171 (1992).
20. F. Durbin, 'Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate's method', The Comput. J., 17, 371-376 (1974).
21. T. Nishioka, 'Recent developments in computational dynamic fracture mechanics', in M. H. Aliabadi (ed.), Dynamic Fracture Mechanics, Computational Mechanics Publications, Southampton, 1995.
22. E. P. Chen and G. C. Sih, 'Transient response of cracks to impact loads', Elastodynamic Crack Problems, Noordhoof, 1977.
23. P. H. Wen, M. H. Aliabadi and D. P. Rooke, 'Cracks in three dimensions: a dynamic dual boundary element analysis', to be published.
24. J. Balas, J. Sladek and V. Sladek, Stress Analysis by Boundary Element Method, Elsevier, Amsterdam, 1989.
25. P. H. Wen, Dynamic Fracture Mechanics: Displacement Discontinuity Method, Computational Mechanics Publications, Southampton and Boston, 1996.
26. A. Portela, M. H. Aliabadi and D. P. Rooke, 'The dual boundary element method: effective implementation for crack problems', Int. J. Numer. Meth. Engng., 33(6), 1269-1287 (1992).
27. P. Fedelinski, M. H. Aliabadi and D. P. Rooke, 'Boundary element formulations for the dynamic analysis of cracked structures', Engng Anal. Bound. Elem., 17(1), 45-56 (1996).
28. T. A. Cruse and F. J. Rizzo, 'A direct formulation and numerical solution of the general transient elastodynamic problem, I', J. Math. Anal. Appl., 22, 244-259 (1968).
29. L. Gaul and C. Fiedler, 'Improved calculation of field variables in the domain based on BEM', Engng Anal. Bound. Elem., 11(1), 257-264 (1993).