XFEM fracture analysis of shells: The effect of crack tip enrichments

Computational Materials Science

Volumn 50, Issue 10, 2011, Pages 2793-2813

  Bayesteh, H ^a   Mohammadi, S ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Crack tip enrichment; Crack tip opening angle (CTOA); Extended finite element method (XFEM); Shells

Indexed keywords

BENCHMARK TESTS; CRACK TIP OPENING ANGLE; CRACK TIP OPENING ANGLE (CTOA); CRACK TIP OPENING DISPLACEMENT; EXTENDED FINITE ELEMENT METHOD; EXTENDED FINITE ELEMENTS; FRACTURE ANALYSIS; FRACTURE MECHANICS PARAMETERS; FRACTURE MODE; HIGH ORDER; IN-PLANE; OUT-OF-PLANE; ROTATIONAL DEGREES OF FREEDOM; SHELLS;

BENCHMARKING; CRACK PROPAGATION; CRACK TIPS; FINITE ELEMENT METHOD; FRACTURE; SHELLS (STRUCTURES); STRESSES;

CRACKS;

EID: 79959495553     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2011.04.034     Document Type: Article

References (67)

1. A.T. Zehnder, and M.J. Viz Applied Mechanics Reviews 58 1-6 2005 37 48
2. A. Zucchini, C.Y. Hui, and A. Zehnder International Journal of Fracture 104 2000 387 407
3. C.Y. Hui, and A. Zehnder International Journal of Fracture 61 1993 211 229
4. N.S. Huh, D.J. Shim, S. Choi, and K.B. Park Fatigue and Fracture of Engineering Materials and Structures 31 2008 428 440
5. N.S. Huh, D.J. Shim, S. Choi, G.M. Wilkowski, and J.S. Yang Fatigue and Fracture of Engineering Materials and Structures 31 2008 197 209
6. M. Perl, and V. Bernshtein Engineering Fracture Mechanics 77 2010 535 548
7. A.L. Keesecker, C.G. Dávila, E.R. Johnson, and J.H. Starnes Jr. Computers and Structures 81 2003 1633 1642
8. W. Brocks, I. Scheider, and M. Schödel Archive of Applied Mechanics 76 11-12 2006 655 665
9. P.D. Zavattieri Journal of Applied Mechanics, Transactions ASME 73 6 2006 948 958
10. I. Scheider, and W. Brocks Computational Materials Science 37 2006 101 109
11. F. Cirak, M. Ortiz, and A. Pandolfi Computer Methods in Applied Mechanics and Engineering 194 21-24 SPEC. ISS. 2005 2604 2618
12. H. Noguchi, T. Kawashima, and T. Miyamura International Journal for Numerical Methods in Engineering 47 2000 1215 1240
13. T. Rabczuk, P.M.A. Areias, and T. Belytschko International Journal for Numerical Methods in Engineering 69 2007 993 1021
14. T. Rabczuk, P.M.A. Areias, and T. Belytschko International Journal for Numerical Methods in Engineering 72 2007 524 548
15. C. Gato Thin-Walled Structures 48 2010 215 222
16. T. Rabczuk, and P. Areias Computer Modeling in Engineering and Sciences 16 2 2006 115 130
17. S. Wang International Journal of Mechanics and Materials in Design 6 2 2010 103 111
18. J. Liu Journal of Engineering Mathematics 2010 1 18
19. S.J. Liu, and J. Chen Thin-Walled Structures 48 2010 118 126
20. J.m Melenk, On generalized Finite Element Methods. Ph.D. Thesis, University of Maryland, 1995.
21. S. Bordas, T. Rabczuk, and G. Zi Engineering Fracture Mechanics 75 5 2008 943 960
22. S.P.A. Bordas, T. Rabczuk, N.-X. Hung, V.P. Nguyen, S. Natarajane, T. Bog, D.M. Quan, and N.V. Hiep Computers and Structures 88 23-24 2010 1419 1443
23. N. Nguyen-Thanh, T. Rabczuk, H. Nguyen-Xuan, and S.P.A. Bordas Journal of Computational and Applied Mathematics 233 9 2010 2112 2135
24. N. Nguyen-Thanh, T. Rabczuk, H. Nguyen-Xuan, and S.P.A. Bordas Finite Elements in Analysis and Design 47 5 2011 519 535
25. T. Belytschko, and T. Black International Journal of Numerical Methods in Engineering 45 5 1999 601 620
26. C. Daux, N. Möes, J. Dolbow, N. Sukumar, and T. Belytschko International Journal for Numerical Methods in Engineering 48 2000 1741 1760
27. T. Belytschko, N. Möes, S. Usui, and C. Parimi International Journal for Numerical Methods in Engineering 50 2001 993 1013
28. N. Sukumar, DL. Chopp, N. Möes, and T. Belytschko Computer Methods in Applied Mechanics and Engineering 190 2001 6183 6200
29. M. Stolarska, DL. Chopp, N. Möes, and T. Belytschko International Journal for Numerical Methods in Engineering 51 8 2001 943 960
30. N. Möes, A. Gravouil, and T. Belytschko International Journal for Numerical Methods in Engineering 53 2002 2549 2568
31. N. Sukumar, N. Möes, T. Belytschko, and B. Moran International Journal for Numerical Methods in Engineering 48 11 2000 1549 1570
32. N. Sukumar, D.L. Chopp, and B. Moran Engineering Fracture Mechanics 70 1 2003 29 48
33. A. Asadpoure, S. Mohammadi, and A. Vafai Finite Elements in analysis and Design 42 13 2006 1165 1175
34. A. Asadpoure, S. Mohammadi, and A. Vafai Thin-Walled Structures 44 9 2006 1031 1038
35. A. Asadpoure, and S. Mohammadi International Journal for Numerical Methods in Engineering 69 10 2007 2150 2172
36. D. Motamedi, and S. Mohammadi International Journal of Fracture 161 1 2010 21 39
37. D. Motamedi, and S. Mohammadi Engineering Fracture Mechanics 77 17 2010 3373 3393
38. S. Esna Ashari, and S. Mohammadi International Journal for Numerical Methods in Engineering 86 13 2011 1507 1543
39. D.J. Benson 1, Y. Bazilevs, E. De Luycker, M.-C. Hsu, M. Scott, T.J.R. Hughes, and T. Belytschko International Journal for Numerical Methods in Engineering 83 6 2010 765 785
40. H. Waisman, and T. Belytschko International Journal for Numerical Methods in Engineering 73 12 2008 1671 1692
41. E. Chahine, P. Laborde, and Y. Renard Mathematical Modelling of Natural Phenomena 4 1 2009 88 105
42. D.J. Benson, Y. Bazilevs, E. De Luycker, M.-C. Hsu, M. Scott, T.J.R. Hughes, and T. Belytschko International Journal for Numerical Methods in Engineering 83 6 2010 765 785
43. A. Menk, and S.P.A. Bordas International Journal for Numerical Methods in Engineering 83 7 2010 805 828
44. A. Menk, and S.P.A. Bordas Computational Materials Science 50 3 2011 1145 1156
45. J. Dolbow, N. Möes, and T. belytschko International Journal of Solids and Structures 37 2000 7161 7183
46. P.M.A. Areias, and T. Belytschko International Journal for Numerical Methods in Engineering 62 2005 384 415
47. S. Bordas, and B. Moran Engineering Fracture Mechanics 73 2006 1176 1201
48. E. Wyart, D. Coulon, M. Duflot, T. Pardoen, J.-F. Remacle, and F. Lani International Journal for Numerical Methods in Engineering 72 2007 757 779
49. E. Wyart, M. Duflot, D. Coulon, P. Martinya, T. Pardoen, J.-F. Remacle, and F. Lani Journal of Computational and Applied Mathematics 215 2008 626 638
50. H. Nguyen-Xuan, T. Rabczuk, S.P.A. Bordas, and J.F. Debongnie Computer Methods in Applied Mechanics and Engineering 197 13-16 2008 1184 1203
51. N. Nguyen-Thanh, Timon Rabczuk, H. Nguyen-Xuan, and S.P.A. Bordas Computer Methods in Applied Mechanics and Engineering 198 2 2008 165 177
52. H. Nguyen-Xuan, T. Rabczuk, N. Nguyen-Thanh, T. Nguyen-Thoi, and S. Bordas Computational Mechanics 46 5 2010 679 701
53. L.G. Copley, and J.L. Sanders International Journal of Fracture Mechanics 5 1969 117 131
54. F. Erdogan, and J. Kibler International Journal of Fracture Mechanics 5 1969 229 237
55. E.S. Folias International Journal of Pressure Vessels and Piping 76 11 1999 803 811
56. E.S. Folias International Journal of Fracture 26 4 1984 251 260
57. E.S. Folias International Journal of Fracture Mechanics 5 4 1969 327 346
58. E.S. Folias International Journal of Fracture Mechanics 3 1 1967 1 11
59. E.S. Folias International Journal of Fracture Mechanics 1 1 1965 20 46
60. H. Sosa, and J. Eischen Engineering Fracture Mechanics 25 4 1986 451 462
61. A.L. Keesecker, C.G. Dávila, E.R. Johnson, and JH. Starnes Jr. Computers and Structures 81 2003 1633 1642
62. M. Kosai, and S. Kobayashi Axial Crack Propagation and Arrest in Pressurized Fuselage S.N. Atluri, S. G Sampath, P. Tong, Structural Integrity of Aging Airplanes 1991 Springer-Verlag Berlin, Germany 225 239
63. G. Ventura, R. Gracie, and T. Belytschko International Journal for Numerical Methods in Engineering 77 1 2009 1 29
64. N. Sukumar, and A. Tabarraei International Journal for Numerical Methods in Engineering 61 12 2004 2045 2066
65. A. Tabarraei, and N. Sukumar Computer Methods in Applied Mechanics and Engineering 197 4 2008 425 438
66. S. Natarajan, D.R. Mahapatra, and S.P.A. Bordas International Journal for Numerical Methods in Engineering 83 3 2010 269 294
67. S. Natarajan, S. Bordas, and D.R. Mahapatra International Journal for Numerical Methods in Engineering 80 1 2009 103 134