Nonsingular traction BIEs for crack problems in elastodynamics

Computational Mechanics

Volumn 25, Issue 6, 2000, Pages 590-599

  Sladek, J ^a   Sladek, V ^a  

^a INSTITUTE OF CONSTRUCTION AND ARCHITECTURE   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; CRACKS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; PROBLEM SOLVING; STRESS ANALYSIS; THEOREM PROVING;

BOUNDARY INTEGRAL EQUATIONS; STOKES THEOREM;

ELASTICITY;

EID: 0033706564     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050506     Document Type: Article

References (31)

1. Aliabadi MH (1997) Boundary element formulations in fracture mechanics. Appl. Mech. Rev. 50: 83-96
2. Atluri SN (1986) Energetic approaches and path independent integrals in fracture mechanics. In: Atluri SN (ed.) Computational Methods in the Mechanics of Fracture, pp. 121-165, North-Holand, Amsterdam
3. Atluri SN (1997) Structural Integrity & Durability. Tech. Science Press, Forsyth
4. Balas J, Sladek J, Sladek V (1989) Stress Analysis by Boundary Element Methods, Elsevier, Amsterdam
5. Beskos DE (1988) Boundary element methods in dynamic analysis II. Appl. Mech. Rev. 50: 149-197
6. Betegon C, Hancock JW (1991) Two parameter characterization of elastic-plastic crack tip fields. J. Appl. Mech. 58: 104-110
7. Blandford GE, Ingraffea AR, Ligget JA (1981) Two-dimensional stress intensity factor computations using the boundary element method. Int. J. Num. Meth. Eng. 17: 387-404
8. Bonnet M (1989) Regularized boundary integral equations for three-dimensional bounded or unbounded elastic bodies containing curved cracks of arbitrary shape under dynamic loading. In: Brebbia CA, Zamani NG (eds.) Boundary Element Techniques, pp. 171-188, CMP, Southampton
9. Chien CC, Rajiyah H, Atluri SN (1991) On the evaluation of hypersingular integrals arising in the boundary element method for linear elasticity. Comput. Mech. 8: 57-70
10. Cruse TA (1968) A direct formulation and a numerical solution of the general transient elastodynamic problem II. J. Math. Anal. Appl. 22: 341-355
11. Cruse TA (1988) Boundary Element Analysis in Computational Fracture Mechanics. Kluwer, Dordrecht
12. Dominguez J, Gallego R (1992) Time domain boundary element method for dynamic stress intensity factor computations. Int. J. Num. Meth. Eng. 33: 635-647
13. Durbin F (1974) Numerical inversion of Laplace transforms; an efficient improvement to Dubner and Abate's method. Comp. J. 17: 371-376
14. Fedelinski P, Aliabadi MH, Rooke DP (1995a) Boundary element formulations for the dynamic analysis of cracked structures. In: Aliabadi MH (ed.) Dynamic Fracture Mechanics, pp. 61-100, CMP, Southampton
15. Fedelinski P, Aliabadi MH, Rooke DP (1995b) A single-region time domain BEM for dynamic crack problems. Int. J. Solids Struct. 32: 3555-3571
16. Fedelinski P, Aliabadi MH, Rooke DP (1996) The Laplace transform DBEM for mixed-mode dynamic crack analysis. Comp. Struct. 59: 1021-1031
17. Huang Q, Cruse TA (1994) On the non-singular traction BIE in elasticity. Int. J. Num. Meth. Eng. 37: 2041-2072
18. Kishimoto K, Aoki S, Sakata M (1980) Dynamic stress intensity factors using Ĵ-integral and a finite element method. Eng. Fract. Mech. 13: 387-394
19. Mi Y, Aliabadi MH (1992) Dual boundary element method for three dimensional fracture mechanics analysis. Eng. Anal. Boundary Ele. 10: 161-171
20. Partridge PW, Brebbia CA, Wrobel LC (1992) The Dual Reciprocity Boundary Element Method. CMP, Southampton
21. Polch EZ, Cruse TA, Huang CJ (1987) Traction BIE solutions for flat cracks. Comput. Mech. 2: 253-267
22. Portela A, Aliabadi MH, Rooke DP (1992) The dual boundary element method; effective implementation for crack problems. Int. J. Num. Meth. Eng. 33: 1269-1287
23. Richardson JD, Cruse TA, Huang Q (1997) On the validity of conforming BEM algorithms for hypersingular boundary integral equations. Comput. Mech. 20: 213-220
24. Richardson JD, Cruse TA (1998a) Nonsingular BEM for fracture modeling. Comp. Struct. 66: 695-703
25. Richardson JD, Cruse TA (1998b) Singular integrals and their treatment in crack problems. In: Sladek V, Sladek J (eds.) Singular Integrals in Boundary Element Methods, pp. 165-196, CMP, Southampton
26. Sladek V, Sladek J (1984) Transient elastodynamic three dimensional problems in cracked bodies. Appl. Math. Modelling 8: 2-10
27. Sladek V, Sladek J, Balas J (1986) Boundary integral formulation of crack problems. ZAMM 66: 83-94
28. Sladek J, Sladek V, Balas J (1997) New developments of boundary element methods in fracture mechanics. In: Karihaloo BL et al. (ed.) Advances in Fracture Research, pp. 1823-1835, Pergamon Press, Amsterdam
29. Sladek V, Sladek J, Tanaka M (1993) Ncnsingular BEM formulations for thin-walled structures and elastostatic crack problems. Acta Mechanica 99: 173-190
30. Sladek J, Sladek V, Fedelinski P (1997) Contour integrals for mixed-mode crack analysis; effect of nonsingular terms. Theor. Appl. Fract. Mech. 27: 115-127
31. Young A (1996) Single-domain boundary element method for 3D elastostatics crack analysis using continuous elements. Int. J. Num. Meth. Eng. 39: 1265-1294