Progressive crack growth analysis using interface element based on the virtual crack closure technique

Finite Elements in Analysis and Design

Volumn 42, Issue 11, 2006, Pages 977-984

  Xie, De ^a   Biggers Jr , Sherrill B ^b  

^a ALPHASTAR CORPORATION   (United States)

^b AMRL   (United States)

Author keywords

Crack growth; Interface element; Mixed mode fracture; Strain energy release rate; Virtual crack closure technique

Indexed keywords

BENCHMARKING; CRACK INITIATION; FINITE ELEMENT METHOD; FRACTURE; INFORMATION ANALYSIS; INTERFACES (MATERIALS); PROBLEM SOLVING; STRAIN MEASUREMENT;

INTERFACE ELEMENTS; MIXED-MODE FRACTURE; STRAIN ENERGY RELEASE RATE; VIRTUAL CRACK CLOSURE TECHNIQUE;

CRACK PROPAGATION;

EID: 33646853883     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2006.03.007     Document Type: Article

References (48)

1. Ungsuwarungsri T., and Knauss W.G. The role of damage-softened material behavior in the fracture of composites and adhesives. Int. J. Fract. 35 (1987) 221-241
2. Needleman A. An analysis of decohesion along an imperfect interface. Int. J. Fract. 42 (1990) 21-40
3. Camacho G.T., and Ortiz M. Computational modeling of impact damage in brittle materials. Int. J. Solids Struct. 33 (1996) 2899-2938
4. Mi Y., Crisfield M.A., Davis G.A.O., and Hellweg H.B. Progressive delmination using interface elements. J. Comp. Mater. 32 (1998) 1246-1272
5. Wei Y., and Hutchinson J.W. Models of interface separation accompanied by plastic dissipation at multiple scales. Int. J. Fract. 95 (1999) 1-17
6. Camanho P.P., Davila C.G., and de Moura M.F. Numerical simulation of mixed-mode progressive crack in composite materials. J. Comp. Mater. 37 (2003) 1415-1438
7. Foulk J.W., Allen D.H., and Helms K.L.E. Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm. Comput. Meth. Appl. Mech. Eng. 183 (2000) 51-66
8. El-Sayed S., and Srindharan S. Predicting and tracking interlaminar crack growth in composites using a cohesive layer model. Composite Part B: Eng. 32 (2001) 545-553
9. La Saponara V., Muliana H., Haj-Ali H.R., and Kardomateas G.A. Experimental and numerical analysis of crack growth in double cantilever laminated beams. Eng. Fract. Mech. 69 (2002) 687-699
10. V.K. Goyal, E.R. Johnson, C.G. Davila, N. Jaunky, An irreversible constitutive law for modeling the delamination process using interface elements, AIAA-2002-1576, in: 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, CO, 2002.
11. Scheider I., and Brocks W. Simulation of cup-cone fracture using the cohesive model. Eng. Fract. Mech. 70 (2003) 1943-1961
12. de Borst R. Numerical aspect of cohesive-zone models. Eng. Fract. Mech. 70 (2003) 1743-1757
13. Tvergaard V. Cohesive zone representations of failure between elastic or rigid solids and ductile solids. Eng. Fract. Mech. 70 (2003) 1859-1868
14. Aoki Y., and Suemasu H. Damage analysis in composite laminates by using an interface element. Adv. Composite Mater. 12 (2003) 13-21
15. Li S., Wang J., and Thouless M.D. The effects of shear on crack in layered materials. J. Mech. Phys. Solids 52 (2004) 193-214
16. Zhou Z., and Molinari J.F. Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency. Int. J. Numer. Meth. Eng. 59 (2004) 1-24
17. Song S.J., and Waas A.M. Energy-based mechanical model for mixed mode failure of laminated composite. AIAA J. 33 (1995) 739-745
18. Shahwan K.W., and Waas A.M. Non-self-similar decohesion along a finite interface of unilaterally constrained delaminaions. Proc. R. Soc. London A 453 (1997) 515-550
19. D. Xie, A.G. Salvi, C. Sun, A.M. Waas, A. Caliskan, Discrete cohesive zone model to study static fracture in a plate of textile braided carbon fiber composites, J. Comp. Mater. (2006), in press.
20. Rybicki E.F., and Kanninen M.F. A finite element calculation of stress intensity factors by a modified crack closure integral. Eng. Fract. Mech. 9 (1977) 931-938
21. Shivakumar K.N., Tan P.W., and Newman Jr. J.C. A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies. Int. J. Fract. 36 (1988) R43-R50
22. Raju I.S. Calculation of strain-energy release rates with higher order and singular finite elements. Eng. Fract. Mech. 28 (1987) 251-274
23. Raju I.S., Crews Jr. J.H., and Aminpour M.A. Convergence of strain-energy release rates for edge delaminated composite laminates. Eng. Fract. Mech. 30 (1988) 383-396
24. Crews Jr. J.H., Shivakumar K.N., and Raju I.S. Strain energy release rate distributions for double cantilever beam specimens. AIAA J. 29 (1991) 1686-1691
25. Wang J.T., Raju I.S., and Sleight D.W. Composite skin-stiffener debond analyses using fracture mechanics approach with shell elements. Composites Eng. 5 (1995) 277-296
26. Wang J.T., and Raju I.S. Strain energy release rates formulae for skin-stiffener debond modeled with plate elements. Eng. Fract. Mech. 16 (1996) 289-303
27. Whitcomb J.D. Finite-element analysis of instability related delamination growth. J. Comp. Mater. 15 (1981) 403-426
28. Rybicki E.F., Hernandez T.D., Deibler J.E., Knight R.C., and Vinson S.S. Mode-I and mixed-mode energy-release rate values for delamination of graphite epoxy test specimens. J. Comp. Mater. 21 (1987) 105-123
29. Davidson B.D., Kruger R., and Konig M. Effect of stacking sequence on energy release rate distributions in multidirectional DCB and ENF specimens. Eng. Fract. Mech. 55 (1996) 557-569
30. Krueger R., and O'Brien T.K. A shell/3D modeling technique for the analysis of delaminated composite laminates. Composites Part A 32 (2001) 25-44
31. Krueger R., Paris I.L., O'Brien T.K., and Minguet P.J. Comparison of 2D finite element modeling assumptions with results from 3D analysis for composite skin-stiffener debonding. Composite Struct. 57 (2002) 161-168
32. Xie D., Waas A.M., Shahwan K.W., Schroeder J.A., and Boeman R.G. Fracture criteria for kinking cracks in triple material bonded joints. Eng. Fract. Mech. 72 (2005) 2487-2504
33. Xie D., Chung J., Waas A.M., Shahwan K.W., Schroeder J.A., Boeman R.G., Kunc V., and Klett L.B. Failure analysis of adhesively bonded structures: from coupon level data to structure level predictions and verification. Int. J. Fract. 134 (2005) 231-250
34. R. Krueger, The virtual crack closure technique: history, approach and applications, NASA/CR-2002-211628.
35. Jih C.J., and Sun C.T. Evaluation of a finite element based crack-closure method for calculating static and dynamic strain energy release rates. Eng. Fract. Mech. 37 (1990) 313-322
36. Tsai J.L., Guo C., and Sun C.T. Dynamic crack fracture toughness in unidirectional polymeric composites. Compos. Sci. Tech. 61 (2001) 87-94
37. Fleming D.C. Crack modeling of composites for improved crash analysis. J. Comp. Mater. 35 (2001) 1777-1792
38. Kutlu Z., and Chang F.K. Modeling compressive failure of laminated composites containing multiple through-the-width cracks. J. Comp. Mater. 26 (1992) 350-387
39. Gaudenzi P., Perugini P., and Riccio A. Post-buckling behavior of composite panels in the presence of unstable cracks. Compos. Struct. 51 (2001) 301-309
40. Xie D., and Biggers Jr. S.B. Strain energy release rate calculation for a moving delamination front of arbitrary shape based on virtual crack closure technique, Part I: formulation and validation. Eng. Fract. Mech. 73 (2006) 771-785
41. Xie D., and Biggers Jr. S.B. Strain energy release rate calculation for a moving delamination front of arbitrary shape based on virtual crack closure technique, Part II: sensitivity study on modeling details. Eng. Fract. Mech. 73 (2006) 786-801
42. HKS, Inc. ABAQUS User Manual, Version 6.2. HKS, Pawtucket, RI.
43. Xie D., Waas A.M., Shahwan K.W., Schroeder J.A., and Boeman R.G. Computation of energy release rates for kinking cracks based on virtual crack closure technique. Comput. Modeling Eng. Sci. 6 (2004) 515-524
44. Kanninen M.F. An augmented double cantilever beam model for studying crack propagation and arrest. Int. J. Fract. 9 (1973) 83-92
45. Chai H., Babcock C.D., and Knauss W.G. One-dimensional modeling of failure in laminated plates by delamination buckling. Int. J. Solids. Struct. 17 (1981) 1069-1083
46. Y. Murakami, Stress Intensity Factors Handbook, Pergamon, New York, 1987.
47. HKS, Inc. ABAQUS Example Manual, Version 6.2. HKS, Pawtucket, RI.
48. Reeder J.R., and Crews Jr. J.R. Mixed-mode bending for delamination testing. AIAA J. 28 (1990) 1270-1276