A comparative study on finite element methods for dynamic fracture

Computational Mechanics

Volumn 42, Issue 2, 2008, Pages 239-250

  Song, Jeong Hoon ^a   Wang, Hongwu ^a   Belytschko, Ted ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; FINITE ELEMENT METHOD; FRACTURE; SEPARATION;

CRACK SPEEDS; ELEMENT DELETION METHODS; INTERELEMENT CRACK METHOD;

CRACK PROPAGATION;

EID: 42449161078     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-007-0210-x     Document Type: Article

References (37)

1. Ravi-Chandar K and Knauss WG (1984). An experimental investigation into dynamic fracture: II. microstructural aspects. Int J Fract 26: 65-80
2. Ravi-Chandar K and Knauss WG (1984). An experimental investigation into dynamic fracture: III. on steady-state crack propagation and crack branching. Int J Fract 26: 141-154
3. Ravi-Chandar K (2004). Dynamic fracture. Elsevier, Boston
4. Marder M and Gross S (1995). Origin of crack tip instabilities. J Mech Phys Solids 43(1): 1-48
5. Belytschko T and Black T (1999). Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Eng 45(5): 601-620
6. Moës N, Dolbow J and Belytschko T (1999). A finite element method for crack growth without remeshing. Int J Numer Meth Eng 46(1): 131-150
7. Stolarska M, Chopp DL, Moës N and Belytschko T (2001). Modeling crack growth by level sets in the extended finite element method. Int J Numer Meth Eng 51(8): 943-960
8. Belytschko T, Moës N, Usui S and Parimi C (2001). Arbitrary discontinuities in finite elements. Int J Numer Meth Eng 50(4): 993-1013
9. Babuška I and Melenk JM (1997). The partition of unity method. Int J Numer Meth Eng 40(4): 727-758
10. Belytschko T, Chen H, Xu J and Zi G (2003). Dynamic crack propagation based on loss of hyperbolicity with a new discontinuous enrichment. Int J Numer Meth Eng 58: 1873-1905
11. Song J-H, Areias PMA and Belytschko T (2006). A method for dynamic crack and shear band propagation with phantom nodes. Int J Numer Meth Eng 67: 868-893
12. Hansbo A and Hansbo P (2004). A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Comput Meth Appl Mech Eng 193: 3523-3540
13. Areias PMA and Belytschko T (2006). A comment on the article: a finite element method for simulation of strong and weak discontinuities in solid mechanics. Comput Meth Appl Mech Eng 195: 1275-1276
14. Réthoré J, Gravouil A, Combescure A (2004) A stable numerical scheme for the finite element simulation of dynamic crack propagation with remeshing. Comput Meth Appl Mech Eng 193:42-44
15. Réthoré J, Gravouil A and Combescure A (2005). An energy-conserving scheme for dynamic crack growth using the extended fnite element method. Int J Numer Meth Eng 63: 631-659
16. Remmers JJC, Needleman A and Borst R (2003). A cohesive segments method for the simulation of crack growth. Comput Mech 31: 69-77
17. Xu X-P and Needleman A (1994). Numerical simulation of fast crack growth in brittle solids. J Mech Phys Solids 42(9): 1397-1434
18. Camacho G and Ortiz M (1996). Computational modelling of impact damage in brittle materials. Int J Solids Struct 33: 2899-2938
19. Lemaitre J, Chaboche JL (1990) Mechanics of solid materials. Cambridge University Press, Cambridge. ISBN 0 521 32853 5
20. Hallquist JO (1998). LS-DYNA theory manual. Livemore software technology corporation, USA
21. Ortiz M and Pandolfi A (1999). A class of cohesive elements for the simulation of three-dimensional crack propagation. Int J Numer Meth Eng 44: 1267-1282
22. Fineberg J, Gross SP, Marder M and Swinney HL (1991). Instability in dynamic fracture. Phys Rev Lett 67: 457-460
23. Sharon E and Fineberg J (1999). Confirming the continuum theory of dynamic brittle fracture for fast cracks. Lett Nature 397: 333-335
24. Ramulu M and Kobayashi AS (1985). Mechanics of crack curving and branching-a dynamic fracture analysis. Int J Fract 27: 187-201
25. Ravi-Chandar K (1998). Dynamic fracture of nominally brittle materials. Int J Fract 90: 83-102
26. Sharon E, Gross SP and Fineberg J (1995). Local crack branching as a mechanism for instability in dynamic fracture. Phys Rev Lett 74(25): 5096-5099
27. Sharon E and Fineberg J (1996). Microbranching instability and the dynamic fracture of brittle materials. Phys Rev B 54(10): 7128-7139
28. Fineberg J, Sharon E and Cohen G (2003). Crack front waves in dynamic fracture. Int J Fract 119: 247-261
29. Lemaitre J (1971) Evaluation of dissipation and damage in metal submitted to dynamic loading. In: Proceedings ICM 1
30. Kalthoff JF, Winkler S (1987) Failure mode transition at high rates of shear loading. International conference on impact loading and dynamic behavior of materials, vol 1. pp 185-195
31. Decker RF (1979) Source book on maraging steels. American Society for Metals
32. Lee YJ and Freund LB (1990). Fracture initiation due to asymmetric impact loading of an edge cracked plate. J Appl Mech ASME 57: 104-111
33. Kalthoff JF (2000). Modes of dynamic shear failure in solids. Int J Fract 101: 1-31
34. Sharon E, Gross SP and Fineberg J (1996). Energy dissipation in dynamic fracture. Phys Rev Lett 76(12): 2117-2120
35. Bourdin B, Francfort GA and Marigo JJ (2000). Numerical experiments in revisited brittle fracture. J Mech Phys Solids 48(4): 797-826
36. Rabczuk T and Belytschko T (2004). Cracking particles: a simplified meshfree method for arbitray evolving cracks. Int J Numer Meth Eng 61(13): 2316-2343
37. Papoulia KD, Vavasis SA and Ganguly P (2006). Spatial convergence of crack nucleation using a cohesive finite-element model on a pinwhell-based mesh. Int J Numer Meth Eng 67: 1-16