Boundary element method for J-integral and stress intensity factor computations in three-dimensional interface cracks

International Journal of Fracture

Volumn 133, Issue 3, 2005, Pages 197-222

  Ortiz, Jhonny E ^a   Cisilino, Adrián P ^b  

^a UNIVERSIDAD NACIONAL DE TRUJILLO   (Peru)

^b UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

Author keywords

Energy domain integral; Interaction integral; Interfacial fracture mechanics; Three dimensional interface cracks

Indexed keywords

BOUNDARY ELEMENT METHOD; CRACKS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); NUMERICAL ANALYSIS; PROBLEM SOLVING; STRESS INTENSITY FACTORS; THREE DIMENSIONAL;

CRACK FRONT; ENERGY DOMAIN INTEGRAL; INTERACTION INTEGRAL; INTERFACIAL FRACTURE MECHANICS; MATERIAL MISMATCH; THREE DIMENSIONAL INTERFACE CRACKS;

FRACTURE MECHANICS;

EID: 21344464194     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10704-005-3122-9     Document Type: Article

References (47)

1. R.S. Barsoum T-K. Chen 1991 Three-dimensional surface singularity of an interface crack International Journal of Fracture 50 221-237 10.1007/ BF00032158
2. Z.P. Bazant L.F. Estenssoro 1979 Surface singularity and crack propagation International Journal of Solids and Structures 15 405-426 10.1016/0020-7683(79)90062-3
3. Beer, G. (1993). An efficient numerical method for modelling initiation and propagation of cracks along material interfaces. International Journal of Numerical Methods in Engineering 3579-3594.
4. C.A. Brebbia J.L.F. Telles L.C. Wrobel 1984 Boundary Element Techniques Springer Verlag Berlin
5. Carpenter, W.C., Read, D.T. and Dodds, R.H. (1986). Comparison of several path independent integrals including plasticity effects. International Journal of Fracture 303-323.
6. F.H.K. Chen R.T. Shield 1977 Conservation laws in elasticity of the J-integral type Journal of Applied Mathematical Physics (ZAMP) 28 1-22 10.1007/BF01590704 1:CAS:528:DyaE1cXhtFSmurs%3D
7. S.B. Cho K.R. Lee Y.S. Coi R. Yuuki 1992 Determination of stress intensity factors and boundary element analysis for interface cracks in dissimilar anisotropic materials Engineering Fracture Mechanics 43 603-614 10.1016/0013-7944(92)90202-P
8. A.P. Cisilino 2000 Linear and Nonlinear Crack Growth using Boundary Elements WIT Press Southampton, UK
9. A.P. Cisilino M.H. Aliabadi 1999 BEM implementation of the energy domain integral for the elastoplastic analysis of 3D fracture problems International Journal of Fracture 96 229-245 10.1023/A:1018689431163
10. A.P. Cisilino M.H. Aliabadi J.L. Otegui 1998 Energy domain integral applied to solve center and double-edge crack problems in three-dimensions Theoretical and Applied Fracture Mechanics 29 181-194 10.1016/S0167-8442(98)00029-9
11. A.P. Cisilino J.E. Ortiz 2004 Boundary Element Analysis of Three-Dimensional Mixed-Mode Cracks via the Interaction Integral Computer Methods in Applied Mechanics and Engineering 194 9-11 935-956 10.1016/j.cma.2003.08.014
12. M. Comninou 1977 The interface crack ASME Journals of Applied Mechanics 44 631-636
13. F.A. Paula de M.H. Aliabadi 1997 Boundary element analysis of interface cracks in dissimilar orthotropic materials using path independent contour integral Boundary Elements XIX, Computational Mechanics Publications Southampton, UK
14. J. Dundurs 1969 Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading ASME Journal of Applied Mechanics 36 650-652
15. F. Ghahremani C.F. Shih 1992 Corner singularities of three-dimensional planar interface cracks Journal of Applied Mechanics 59 61-68 1:CAS:528:DyaK38XltlGkt7c%3D
16. M. Gosz J. Dolbow B. Moran 1988 Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks International Journal of Solids and Structures 35 15 1763-1783 10.1016/S0020-7683(97)00132-7
17. W.J. He D.S. Lin H.J. Ding 1994 A boundary element for crack analysis at a bimaterial interface Engineering Fracture Mechanics 49 3 405-410 10.1016/0013-7944(94)90268-2
18. Hellen, T.K.(1975). On the method of virtual crack extensions. International Journal of Numerical Methods in Engineering 187-207.
19. J.W. Hutchinson W. Mear J.R. Rice 1987 Crack paralleling and interface between dissimilar materials ASME Journal of Applied Mechanics 54 828-832
20. I. Kaijevic S. Saigal 1995 Analysis of symmetric domains in advanced applications with the boundary element method International Journal of Numerical Methods in Engineering 38 2373-2388
21. Y.W. Kwon R. Dutton 1991 Boundary element analysis of cracks normal to bimaterial interfaces Engineering Fracture. Mechanics 40 487-491 10.1016/ 0013-7944(91)90145-Q
22. Y.J. Lui N. Xu 2000 Modelling of interface cracks in fibre-reinforced composites with the presence of interphases using the boundary element method Mechanics of Materials 32 769-783 10.1016/S0167-6636(00)00045-4
23. R. Mao G. Sun 1995 A study of the interaction between matrix crack and matrix-fibre interface Engineering Fracture Mechanics 51 3 469-477 10.1016/0013-7944(94)00193-L
24. N. Miyazaki T. Ikeda T. Soda T. Munakata 1993 Stress intensity factor analysis of interface crack using boundary element method. Application of contour-integral method Engineering Fracture Mechanics 45 5 599-610 10.1016/0013-7944(93)90266-U
25. Moran, B. and Shih, C.F. (1987). A general treatment of crack tip contour integrals. International Journal of Fracture 295-310.
26. T. Nagashima Y. Omoto S. Tani 2003 Stress intensity factor analysis of interface cracks using X-FEM International Journal of Numerical Methods in Engineering 56 1151-1173 10.1002/nme.604
27. T. Nakamura 1991 Three-dimensional stress fields of elastic interface cracks ASME Journal of Applied Mechanics 58 939-946
28. T. Nakamura D.M. Parks 1989 Anti-symmetrical 3D stress field near the crack front of a thin elastic plate International Journal of Solids and Structures 25 1411-1416 10.1016/0020-7683(89)90109-1
29. R. Natha B. Moran 1993 Domain integrals for axisymmetric interface crack problems International Journal of Solids and Structures 30 15 2027-2040 10.1016/0020-7683(93)90049-D
30. Nikishkov, G.P. and Atluri, S.N. (1987). Calculation of fracture mechanics parameters for an arbitrary three-dimensional crack by the equivalent domain integral method. International Journal of Numerical Methods in Engineering 1801-1821.
31. F. París J.C. del Caño J. Varna 1996 The fibre-matrix interface crack - A numerical analysis using boundary elements International Journal of Fracture 82 11-29 10.1007/BF00017861
32. Parks, D.M. (1974). A stiffness derivative finite element technique for determination of elastic crack tip stress intensity factors. International Journal of Fracture 487-502.
33. Raju, I.S. and Newman, J.C. (1977). Three-dimensional finite element analysis of finite-thickness fracture mechanics, Technical Report NASA TN D-8414.
34. S.T. Raveendra P.K. Banerjee 1991 Computation of stress intensity factors for interfacial cracks Engineering Fracture Mechanics 40 1 89-103 10.1016/0013-7944(91)90130-S
35. Rice, J.R. (1968). A path independent integral and the approximate analysis of strain concentration by notches and cracks. ASME Journal of Applied Mechanics 379-386.
36. J.R. Rice 1988 Elastic fracture mechanics concepts for interfacial cracks ASME Journal of Applied Mechanics 55 98-103
37. Rice, J.R., Suo Z. Wang, J.S. (1990). Mechanics and thermodynamics of brittle interfacial failure in bimaterial systems, Metal-Ceramics Interfaces, (edited by M.Ruhle et al.), Pergamon Press, Oxford, New york, pp. 269-294.
38. R. Saliva M.J. Vénere C. Padra E. Taroco R.A. Feijoo 2000 Shape sensitivity analysis and energy release rate of planar cracks embedded in three-dimensional bodies Computer Methods in Applied Mechanics and Engineering 188 649-664 10.1016/S0045-7825(99)00353-9
39. S. Selcuk D.S. Hurd S.L. Crouch W.W. Gerberich 1994 Prediction of interfacial crack path: A direct boundary integral approach and experimental study International Journal of Fracture 67 1-20 10.1007/ BF00032361 1:CAS:528:DyaK2cXntVKgsL4%3D
40. J. Sladek V. Sladek 1997 Evaluation of the T-stress for interface cracks by the boundary element method Engineering Fracture Mechanics 56 6 813-825 10.1016/S0013-7944(96)00131-2
41. H. Tada P. Paris G.R. Irwin 2000 The stress Analysis of Crack Handbook ASME Press Newyork
42. C.L. Tan Y.L. Gao 1990 Treatment of bimaterial interface crack problems using the boundary element method Engineering Fracture Mechanics 36 919-932 10.1016/0013-7944(90)90268-L
43. J. Varna F. París J.C. del Caño 1997 The effect of crack-face contact on fibre/matrix debonding in transverse tensile loading Composites Science and Technology 57 523-532 10.1016/ S0266-3538(96)00175-3 1:CAS:528:DyaK2sXks1Sht7s%3D
44. P.H. Wen M.H. Aliabadi 1999 Evaluation of the stress intensity factor for a three-dimensional interfacial crack by the boundary element method Journal of Strain Analysis 34 3 209-215 10.1243/0309324991513759
45. M.L. Williams 1959 The stress around a fault or crack in dissimilar media Bulletin of the Seismological Society of America 49 199-204
46. R. Yuuki S.B. Cho 1989 Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials Engineering Fracture Mechanics 34 179-188 10.1016/0013-7944(89)90251-8
47. R. Yuuki J-Q. Xu 1994 Boundary element analysis of dissimilar materials and interface crack Computational Mechanics 14 116-127 10.1007/BF00350279