A comparative study of numerical solutions to non-linear discrete crack modelling of concrete beams involving sharp snap-back

Engineering Fracture Mechanics

Volumn 71, Issue 1, 2004, Pages 81-105

  Yang, Z J ^a   Proverbs, D ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b UNIVERSITY OF WOLVERHAMPTON   (United Kingdom)

Author keywords

Arc length method; Concrete beams; Discrete crack model; Finite element analysis

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CRACK PROPAGATION; FINITE ELEMENT METHOD; STIFFNESS;

SHEAR BEAMS;

FRACTURE MECHANICS;

CONCRETE; FINITE ELEMENT METHOD; FRACTURE MECHANICS;

EID: 0141958535     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(03)00047-X     Document Type: Article

References (37)

1. De Borst R. Non-linear analysis of frictional materials, PhD thesis, Technical University of Delft, Netherlands, 1986
2. De Borst R. Computation of post-bifurcation and post-failure behaviour of strain-softening solid Comput. Struct. 25 1987 211-224
3. Rots J. De Borst R. Analysis of mixed-mode fracture in concrete J. Engng. Mech., ASCE 113 11 1987 1739-1758
4. Bazant Z.P. Lin F.B. Nonlocal smeared crack model for concrete fracture J. Engng. Mech., ASCE 114 11 1988 2493-2510
5. Rots J. Computational modelling of concrete fracture, PhD thesis, Technical University of Delft, Netherlands, 1988
6. Rots J. Smeared and discrete representations of localized fracture Int. J. Fract. 51 1991 45-59
7. Yamaguchi E. Chen W.F. Cracking model for finite element analysis of concrete materials J. Engng. Mech., ASCE 117 3 1990 653-673
8. Malvar L.J. Mixed-mode fracture in concrete Bazant Z.P. Fracture mechanics of concrete structures 1992 677-688 Elsevier London
9. Bolander J. Hikosaka H. Applying nonlocal smeared crack concepts to modelling concrete fracture Bazant Z.P. Fracture mechanics of concrete structures 1992 198-203 Elsevier London
10. Duan Y. Non-linear material finite element analysis for concrete and masonry structures, PhD thesis, University of Bradford, UK, 1994
11. Foster S.J. Budiono B. Gilbert R.I. Rotating crack finite element model for reinforced concrete structures Comput. Struct. 58 1 1996 43-50
12. Abdollahi A. Numerical strategies in the application of the FEM to RC structures-I Comput. Struct. 58 6 1996 1173-1182
13. Abdollahi A. Investigation of objectivity in the application of the FEM to RC structures-II Comput. Struct. 58 6 1996 1183-1211
14. Ali A. FEM analysis of concrete structures subjected to mode-I and mixed-mode loading conditions Comput. Struct. 61 6 1996 1043-1055
15. May I.M. Duan Y. A local arc-length procedure for strain softening Comput. Struct. 64 1-4 1997 297-303
16. Ingraffea A.R. Gerstle W.H. Non-linear fracture models for discrete crack modelling Shah S.P. Applications of fracture mechanics to cementitious composites, NATO-ARW 1984 247-285 Martinus-Nijhoff
17. Carpinteri A. Size-scale effect on the brittleness of concrete structures: dimensional analysis and snap-back instability Li V.C. Bazant Z.P. Fracture mechanics: application to concrete, ACI-SP 118 1989 197-235 American Concrete Institute Detroit
18. Bocca P. Carpinteri A. Valente S. Mixed-mode fracture of concrete Int. J. Solid Struct. 27 9 1991 1139-1153
19. Gerstle W.H. Xie M. FEM modelling of fictitious crack propagation in concrete J. Engng. Mech., ASCE 118 2 1992 416-434
20. Xie M. Finite element modelling of discrete crack propagation, PhD thesis: University of New Mexico, USA, 1995
21. Xie M. Gerstle W.H. Energy-based cohesive crack propagation modelling J. Engng. Mech., ASCE 121 12 1995 1349-1458
22. Hellweg H.B. Crisfield M.A. A new arc-length method for handling sharp snap-backs Comput. Struct. 66 5 1998 705-709
23. Alfano G. Crisfield M.A. Finite element interface model for the delamination analysis of laminated composites: mechanical and computational issues Int. J. Numer. Meth. Engng. 50 2001 1701-1736
24. Crisfield M.A. A fast incremental iterative solution procedure that handles "snap-through" Comput. Struct. 13 1981 55-62
25. Crisfield M.A. Snap-through and snap-back response in concrete structures and the dangers of under-integration Int. J. Numer. Meth. Engng. 22 1986 751-767
26. Crisfield M.A. Wills J. Solution strategies and softening materials Comput. Meth. Appl. Mech. Engng. 66 1988 267-289
27. Crisfield M.A. Jelenic G. Mi Y. Zhong H.G. Fan Z. Some aspects of the nonlinear finite element method Finite Elements Anal. Des. 27 1997 19-40
28. Underwood P. Dynamic relaxation Belytschko T. Hughes T.J.R. Computational methods in mechanics for transient analysis 1983 245-265
29. Riks E. An incremental approach to the solution of snapping and buckling problems Int. J. Solid Struct. 15 1979 529-551
30. Rots J. De Borst R. Analysis of concrete fracture in "direct tension" J. Solid Struct. 25 1989 1381-1394
31. Alfaiate J. Pires E.B. Martins A.C. A finite element analysis of non-prescribed crack propagation in concrete Comput. Struct. 63 1 1997 17-26
32. Yang ZJ. Finite Element Analysis of Plated Reinforced Concrete Beams, PhD thesis, Wolverhampton University, UK, 2002
33. Arrea M, Ingraffea AR. Mixed-mode crack propagation in mortar and concrete. Report no. 81-13, Department of Structural Engineering, Cornell University, 1982
34. Hillerborg A. Modeer M. Petersson P.E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements Cement Concr. Res. 6 1976 773-782
35. Petersson PE. Crack growth and development of fracture zone in plain concrete and similar materials. Report TVBM-1006, Lund Institute of Technology, Lund, Sweden, 1981
36. Crisfield M.A. Non-linear finite element analysis of solids and structures Advanced topics vol. II 1997 John Wiley and Sons New York
37. James MA. A plane stress finite element model for elastic-plastic mode I/II crack growth, PhD thesis, Kansas State University, 1998