An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces

International Journal of Solids and Structures

Volumn 47, Issue 16, 2010, Pages 2178-2189

  Yu, Hongjun ^a   Wu, Linzhi ^a   Guo, Licheng ^a   Wu, Huaping ^b   Du, Shanyi ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Finite element method (FEM); Interaction integral; Interface; Nonhomogeneous materials; Stress intensity factors (SIFs); Three dimensional (3D)

Indexed keywords

3-D CURVED CRACKS; APPLICATION RANGE; AUXILIARY-FIELDS; COMPLEX INTERFACE; DOMAIN FORMULATION; INTEGRAL DOMAINS; INTERACTION INTEGRAL METHOD; INTERACTION INTEGRALS; INTERFACE; MATERIAL INTERFACES; MATERIAL PROPERTY; MIXED-MODE STRESS; NON-HOMOGENEOUS MATERIAL; THREE-DIMENSIONAL (3D); TWO-STATE;

ASPHALT PAVEMENTS; MATERIALS PROPERTIES; STRESS ANALYSIS; STRESS INTENSITY FACTORS; THREE DIMENSIONAL;

FINITE ELEMENT METHOD;

EID: 77955267566     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.04.027     Document Type: Article

References (48)

1. A.O. Ayhan Stress intensity factors for three-dimensional cracks in functionally graded materials using enriched finite elements International Journal of Solids and Structures 44 (25-26) 2007 8579 8599
2. A.O. Ayhan Three-dimensional mixed-mode stress intensity factors for cracks in functionally graded materials using enriched finite elements International Journal of Solids and Structures 46 2009 796 810
3. A.O. Ayhan, and H.F. Nied Stress intensity factors for three-dimensional surface cracks using enriched finite elements International Journal for Numerical Methods in Engineering 54 2002 899 921
4. V. Birman, and L.W. Byrd Modeling and analysis of functionally graded materials and structures Applied Mechanics Reviews 60 2007 195 16
5. H.G. DeLorenzi On the energy release rate and the J-integral for 3-D crack configurations International Journal of Fracture 19 1982 183 193
6. J.E. Dolbow, and M. Gosz On the computation of mixed-mode stress intensity factors in functionally graded materials International Journal of Solids and Structures 39 2002 2557 2574
7. J.W. Eischen Fracture of nonhomogeneous materials International Journal of Fracture 34 1987 3 22
8. M. Gosz, and B. Moran An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions Engineering Fracture Mechanics 69 2002 299 319
9. M. Gosz, J. Dolbow, and B. Moran Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks International Journal of Solids and Structures 35 15 1998 1763 1783
10. A. Gravouil, N. Moës, and T. Belytschko Non-planar 3D crack growth by the extended finite element and level sets. Part II: level set update International Journal for Numerical Methods in Engineering 53 2002 2569 2586 (Pubitemid 34234584)
11. L.C. Guo, N. Noda, and L.Z. Wu Thermal fracture model for a functionally graded plate with a crack normal to the surfaces and arbitrary thermomechanical properties Composites Science and Technology 68 2008 1034 1041
12. T. Honein, and G. Herrmann Conservation laws in nonhomogeneous plane elastostatics Journal of the Mechanics and Physics of Solids 45 5 1997 789 805
13. G.R. Irwin Crack extension force for a part-through crack in a plate Journal of Applied Mechanics 29 4 1962 651 654
14. Z.H. Jin, and C.T. Sun Integral representation of energy release rate in graded materials Journal of Applied Mechanics 74 2007 1046 1048
15. J. Johnson, and J.M. Qu An interaction integral method for computing mixed-mode stress intensity factors for curved bimaterial interface cracks in non-uniform temperature fields Engineering Fracture Mechanics 74 2007 2282 2291
16. J.H. Kim, and G.H. Paulino T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method Computer Methods in Applied Mechanics and Engineering 192 2003 1463 1494
17. J.H. Kim, and G.H. Paulino T-stress in orthotropic functionally graded materials: Lehnitskii and Stroh formalisms International Journal of Fracture 126 2004 345 384
18. J.H. Kim, and G.H. Paulino Consistent formulations of the interaction integral method for fracture of functionally graded materials Journal of Applied Mechanics 72 2005 351 364
19. Y.J. Kim, H.G. Kim, and S. Im Mode decomposition of three-dimensional mixed-mode cracks via two-state integrals International Journal of Solids and Structures 38 2001 6405 6426
20. P. Krysl, and T. Belytschko The element-free Galerkin method for dynamic propagation of arbitrary 3-D cracks International Journal for Numerical Methods in Engineering 44 1999 767 800
21. J.W. Leggoe, X.Z. Hu, and M.B. Bush Crack tip damage development and crack growth resistance in particulate reinforced metal matrix composites Engineering Fracture Mechanics 53 6 1996 873 895
22. N. Moës, A. Gravouil, and T. Belytschko Non-planar 3D crack growth by the extended finite element and level sets. Part I: mechanical model International Journal for Numerical Methods in Engineering 53 2002 2549 2568 (Pubitemid 34234583)
23. B. Moran, and C.F. Shih A general treatment of crack tip contour integrals International Journal of Fracture 35 1987 295 310
24. B. Moran, and C.F. Shih Crack tip and associated domain integrals from momentum and energy balance Engineering Fracture Mechanics 27 6 1987 615-642
25. R. Nahta, and B. Moran Domain integrals for axisymmetric interface crack problems International Journal of Solids and Structures 30 15 1993 2027-2040
26. T. Nakamura Three-dimensional stress fields of elastic interface cracks Journal of Applied Mechanics 58 1991 939-946
27. T. Nakamura, and D.M. Parks Three-dimensional stress field near the crack front of a thin elastic plate ASME Journal of Applied Mechanics 55 1988 805-813
28. J.E. Ortiz, and A.P. Cisilino Boundary element method for J-integral and stress intensity factor computations in three-dimensional interface cracks International Journal of Fracture 133 2005 197-222
29. M. Ozturk, and F. Erdogan Axisymmetric crack problem in bonded materials with a graded interfacial region International Journal of Solids and Structures 33 2 1996 193-219
30. L.P. Pook Some implications of corner point singularities Engineering Fracture Mechanics 48 3 1994 367-378
31. S. Rahman, and A. Chakraborty A stochastic micromechanical model for elastic properties of functionally graded materials Mechanics of Materials 39 2007 548-563
32. I.S. Raju, and J.C. Newman Stress-intensity factors for a wide range of semi-elliptical surface cracks in finite-thickness plates Engineering Fracture Mechanics 11 1979 817 829
33. J.R. Rice A path independent integral and the approximate analysis of strain concentration by notches and cracks Journal of Applied Mechanics 35 1968 379 386
34. R.C. Shah, and A.S. Kobayashi On the surface flaw problem J.L. Swcdlow, The Surface Crack: Physical Problems and Computational Solutions 1972 ASME New York 79 124
35. C.F. Shih, B. Moran, and T. Nakamura Energy release rate along a three-dimensional crack front in a thermally stressed body International Journal of Fracture 30 1986 79 102
36. F.W. Smith The elastic analysis of the part-circular surface flaw problem by the alternating method J.L. Swcdlow, The Surface Crack: Physical Problems and Computational Solutions 1972 ASME New York 125 152
37. F.W. Smith, A.F. Emery, and A.S. Kobayashi Stress intensity factors for semicircular cracks. Part 2: semi-infinite solid Journal of Applied Mechanics 34 1967 947 952
38. M. Stern, E.B. Becker, and R.S. Dunham A contour integral computation of mixed-mode stress intensity factors International Journal of Fracture 12 3 1976 359 368
39. N. Sukumar, B. Moran, T. Black, and T. Belytschko An element-free Galerkin method for three-dimensional fracture mechanics Computational Mechanics 20 1997 170 175 (Pubitemid 127566036)
40. N. Sukumar, N. Moës, B. Moran, and T. Belytschko Extended finite element method for three-dimensional crack modelling International Journal for Numerical Methods in Engineering 48 2000 1549 1570
41. M.C. Walters, G.H. Paulino, and R.H. Dodds Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading International Journal of Solids and Structures 41 2004 1081 1118
42. M.C. Walters, G.H. Paulino, and R.H. Dodds Interaction integral procedures for 3-D curved cracks including surface tractions Engineering Fracture Mechanics 72 2005 1635 1663
43. M.C. Walters, G.H. Paulino, and R.H. Dodds Computation of mixed-mode stress intensity factors for cracks in three-dimensional functionally graded solids Journal of Engineering Mechanics 132 1 2006 1 15
44. S.S. Wang, J.F. Yau, and H.T. Corten A mixed-mode crack analysis of rectilinear anisotropic solids using conservation laws of elasticity International Journal of Fracture 16 3 1980 247 259
45. L.H. Yang, and Z.H. Li The interaction of mode-I crack with multi-inclusions in a three-phase model International Journal of Fracture 127 2004 193 200
46. B. Yildirim, S. Dag, and F. Erdogan Three-dimensional fracture analysis of FGM coatings under thermomechanical loading International Journal of Fracture 132 2005 369 395
47. H.J. Yu, L.C. Guo, and L.Z. Wu Numerical investigation on the fracture behaviors of three-dimensional functionally graded materials Key Engineering Materials 2007 1098 1101
48. H.J. Yu, L.Z. Wu, L.C. Guo, S.Y. Du, and Q.L. He Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method International Journal of Solids and Structures 46 2009 3710 3724