J resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models

International Journal of Fracture

Volumn 139, Issue 1, 2006, Pages 91-117

  Shim, Do Jun ^a   Paulino, Glaucio H ^a   Dodds Jr , Robert H ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

3 D finite element analysis; Cohesive zone model; Crack growth resistance curve; Elastic plastic crack growth; Functionally graded material (FGM); J integral; Modified boundary layer model

Indexed keywords

BOUNDARY LAYERS; COMPUTER SIMULATION; CRACK PROPAGATION; ELASTOPLASTICITY; FRACTURE; MATHEMATICAL MODELS;

COHESIVE ZONE MODEL; CRACK GROWTH RESISTANCE CURVE; ELASTIC-PLASTIC CRACK GROWTH; J-INTEGRAL;

FUNCTIONALLY GRADED MATERIALS;

EID: 33746578525     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-006-0024-4     Document Type: Article

References (51)

1. J. Abanto-Bueno J. Lambros 2002 Investigation of crack growth in functionally graded materials using digital image correlation Engineering Fracture Mechanics 69 1695-1711 10.1016/S0013-7944(02)00058-9
2. G. Anlas M.H. Santare J. Lambros 2000 Numerical calculation of stress intensity factors in functionally graded materials International Journal of Fracture 104 131-143 10.1023/A:1007652711735
3. Baylor, J. (1998). A numerical simulation of impact-induced damage of composite materials. Master Thesis, University of Illinois at Urbana-Champaign.
4. C. Betegon J.W. Hancock 1991 Two-parameter characterization of elastic-plastic crack-tip fields ASME Journal of Applied Mechanics 58 104-110
5. Bilby B.A., Cardew G.E., Goldthorpe M.R. and Howard I.C. (1986). A finite element investigation of the effect of specimen geometry on the fields of stress and strain at the tip of stationary cracks. Size Effect in Fracture. Institute of Mechanical Engineers, 37-46.
6. G.T. Camacho M. Ortiz 1996 Computational modeling of impact damage in brittle materials International Journal of Solids and Structures 33 2899-2938 0929.74101 10.1016/0020-7683(95)00255-3
7. Carpenter R.D., Liang W.W., Paulino G.H., Gibeling J.C. and Munir, Z.A. (1999). Fracture testing and analysis of a layered functionally graded Ti/TiB beam in 3-point bending. Materials Science Forum 308-311, 837-842.
8. W. Celes G.H. Paulino R. Espinha 2005 A compact adjacency-based topological data structure for finite element mesh representation International Journal for Numerical Methods in Engineering 64 1529-1556 10.1002/nme.1440
9. J.W. Eischen 1987 Fracture of non-homogeneous materials International Journal of Fracture 34 3-22
10. F. Erdogan 1995 Fracture mechanics of functionally graded materials Composites Engineering 5 753-770
11. P.H. Geubelle J. Baylor 1998 Impact-induced delamination of laminated composites: A2D simulation Composites Part B Engineering 29 589-602 10.1016/S1359-8368(98)00013-4
12. A.E. Giannakopoulos S. Suresh M. Finot M. Olsson 1995 Elastoplastic analysis of thermal cycling: Layered materials with compositional gradients Acta Metallurgica et Materialia 43 1335-1354 10.1016/ 0956-7151(94)00360-T
13. P. Gu R.J. Asaro 1997 Crack deflection in functionally graded materials International Journal of Solids and Structures 34 3085-3098 0939.74591 10.1016/S0020-7683(96)00175-8
14. Gullerud, A.S., Koppenhoefer, K.C., Roy, Y.A., RoyChowdhury, S., Walters, M., Bichon, B., and Dodds Jr., R.H. (2004). WARP3D Release 15 Manual, Civil Engineering, Report No. UIUCENG-95-2012, University of Illinois at Urbana-Champaign.
15. Z.-H. Jin G.H. Paulino R.H. Dodds Jr. 2002 Finite element investigation of quasi-static crack growth in functionally graded materials using a novel cohesive zone fracture model ASME Journal of Applied Mechanics 69 370-379
16. Z.-H. Jin G.H. Paulino R.H. Dodds Jr. 2003 Cohesive fracture modeling of elastic-plastic crack growth in functionally graded materials Engineering Fracture Mechanics 70 1885-1912 10.1016/S0013-7944(03)00130-9
17. Z.-H. Jin R.H. Dodds Jr. 2004 Crack growth resistance behavior of a functionally graded material: Computational studies Engineering Fracture Mechanics 71 1651-1672 10.1016/j.engfracmech.2003.08.002
18. S.S.V. Kandula J. Abanto-Bueno P.H. Geubelle J. Lambros 2005 Cohesive modeling of dynamic fracture in functionally graded materials International Journal of Fracture 132 275-296 10.1007/s10704-005-1207-0
19. J.-H. Kim G.H. Paulino 2002 Finite element evaluation of mixed-mode stress intensity factors in functionally graded materials International Journal for Numerical Methods in Engineering 53 1903-1935 01747684 10.1002/nme.364
20. J.-H. Kim G.H. Paulino 2002 Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials ASME Journal of Applied Mechanics 69 502-514
21. J.-H. Kim G.H. Paulino 2003 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 1463-1494 01972191 10.1016/ S0045-7825(02)00652-7
22. J.-H. Kim G.H. Paulino 2004 Simulation of crack propagation in functionally graded materials under mixed-mode and non-proportional loading International Journal of Mechanics and Materials in Design 1 63-94
23. Klein, P.A., Foulk, J.W., Chen, E.P., Wimmer, S.A. and Gao, H. (2000). Physics-based modeling of brittle fracture: Cohesive formulations and the application of meshfree methods. Sandia National Laboratory, Technical Report, SAND2001-8099
24. S.G. Larsson A.J. Carlsson 1973 Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials Journal of the Mechanics and Physics of Solids 21 263-277 10.1016/0022-5096(73)90024-0
25. H. Li J. Lambros B.A. Cheeseman M.H. Santare 2000 Experimental investigation of the quasistatic fracture of functionally graded materials International Journal of Solids and Structures 37 3715-3732 0948.74505 10.1016/S0020-7683(99)00056-6
26. R.J. Moon M. Hoffman J. Hilden K.J. Bowman K.P. Trumble J. Rodel 2002 R -curve behavior in alumina-zirconia composites with repeating graded layers Engineering Fracture Mechanics 69 1647-1665 10.1016/ S0013-7944(02)00050-4
27. A. Needleman 1987 A continuum model for void nucleation by inclusion debonding ASME Journal of Applied Mechanics 54 525-531 0626.73010
28. A. Needleman 1990 An analysis of tensile decohesion along an interface Journal of the Mechanics and Physics of Solids 38 289-324 10.1016/ 0022-5096(90)90001-K
29. Nelson, G. and Ezis, A. (1996). Functionally graded material (FGM) armor in the TiB/Ti system (U). CERCOM Report.
30. M. Ortiz A. Pandolfi 1999 Finite-deformation irreversible cohesive elements for three- dimensional crack propagation analysis International Journal for Numerical Methods in Engineering 44 1267-1282 0932.74067 10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7
31. G.H. Paulino R.D. Carpenter W.W. Liang Z.A. Munir J.C. Gibeling 2001 Fracture testing and finite element modeling of pure Titanium Engineering Fracture Mechanics 68 1417-1432 10.1016/S0013-7944(01)00018-2
32. S. Rangaraj K. Kokini 2004 A study of thermal fracture in functionally graded thermal barrier coatings using a cohesive zone model ASME Journal of Engineering Materials and Technology 126 103-115 10.1115/1.1631028
33. Y.A. Roy R.H. Dodds Jr. 2001 Simulation of ductile crack growth in thin aluminum panels using 3-D surface cohesive elements International Journal of Fracture 110 21-45 10.1023/A:1010816201891
34. D.-J. Shim G.H. Paulino R.H. Dodds Jr. 2006 A boundary layer framework considering material gradation effects Engineering Fracture Mechanics 73 593-615 10.1016/j.engfracmech.2005.09.007
35. D.-J. Shim G.H. Paulino R.H. Dodds Jr. 2006 Effect of material gradation on K -dominance of fracture specimens Engineering Fracture Mechanics 73 643-648 10.1016/j.engfracmech.2005.09.004
36. T. Siegmund A. Needleman 1997 Numerical simulation of fast crack growth in brittle solids Journal of the Mechanics and Physics of Solids 42 1397-1434
37. Tamura, I., Tomota,Y. and Ozawa, H. (1973). Strength and ductility of Fe-Ni-C alloys composed of austenite and martensite with various strength. Proceedings of the Third International Conference on Strength of Metals and Alloys, vol. 1, Cambridge: Institute of Metals, 611-615.
38. K. Tohgo T. Suzuki H. Araki 2005 Evaluation of R -curve behavior of ceramic-metal functionally graded materials by stable crack growth Engineering Fracture Mechanics 72 2359-2372 10.1016/ j.engfracmech.2005.03.006
39. V. Tvergaard 1990 Effect of fiber debonding in a whisker-reinforced metal Materials Science and Engineering A 125 203-213 10.1016/ 0921-5093(90)90170-8
40. V. Tvergaard 2001 Crack growth predictions by a cohesive zone model for ductile fracture Journal of the Mechanics and Physics of Solids 49 2191-2207 01690864 10.1016/S0022-5096(01)00030-8
41. V. Tvergaard 2002 Theoretical investigation of the effect of plasticity on crack growth along a functionally graded region between dissimilar elastic-plastic solids Engineering Fracture Mechanics 69 1635-1645 10.1016/S0013-7944(02)00051-6
42. V. Tvergaard J.W. Hutchinson 1992 The relation between crack growth resistance and fracture process parameters in elastic-plastic solids Journal of the Mechanics and Physics of Solid 40 1377-1397 0775.73218 10.1016/0022-5096(92)90020-3
43. M.C. Walters G.H. Paulino R.H. Dodds Jr. 2004 Stress intensity factors for surface cracks in functionally graded materials under mode I thermomechanical loading International Journal of Solids and Structures 41 1081-1118 1075.74535 10.1016/j.ijsolstr.2003.09.050
44. M.C. Walters G.H. Paulino R.H. Dodds Jr. 2005 Interaction-integral procedures for 3-D curved cracks including surface tractions Engineering Fracture Mechanics 72 1635-1663 10.1016/j.engfracmech.2005.01.002
45. M.C. Walters G.H. Paulino R.H. Dodds Jr. 2006 Computation of mixed-mode stress intensity factors for cracks in three-dimensional functionally-graded solids ASCE Journal of Engineering Mechanics 132 1-15 10.1061/(ASCE)0733-9399(2006)132:1(1)
46. R.L. Williamson B.H. Rabin J.T. Drake 1993 Finite element analysis of thermal residual stresses at graded ceramic-metal interfaces, part I: model description and geometrical effects Journal of Applied Physics 74 1310-1320 10.1063/1.354910 1993JAP....74.1310W
47. L. Xia C.F. Shih 1995 Ductile crack growth - I. A Numerical study using computational cells with microstructurally-based length scales Journal of the Mechanics and Physics of Solids 43 233-259 0879.73047 10.1016/ 0022-5096(94)00064-C
48. X. Xu A. Needleman 1996 Numerical simulations of dynamic crack growth along an interface International Journal of Fracture 74 289-324 10.1007/ BF00035845
49. P. Zavattieri H. Espinosa 2001 Grain level model analysis of crack initiation and propagation in brittle materials Acta Materialia 49 4291-4311 10.1016/S1359-6454(01)00292-0
50. Zhang, Z. (2003). Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials. Master Thesis, University of Illinois at Urbana-Champaign.
51. Z. Zhang G.H. Paulino 2005 Cohesive zonemodeling of dynamic failure in homogenous and functionally graded materials International Journal of Plasticity 21 1195-1254 02142504 10.1016/j.ijplas.2004.06.009