A Comparative Study of Meshfree Methods for Fracture
Source abstract
Abstract
We study the ability of different meshfree methods for modeling fracture problems. Since our final goal is modeling dynamic fracture, we limit our studies to the most popular methods in this field, that is, the material point method (MPM), smoothed particle hydrodynamics (SPH) and element-free Galerkin (EFG) method. We demonstrate through several examples that Eulerian kernel formulation are not capable of modeling fracture correctly. Moreover, we show that it is not true that for such formulations fracture occurs naturally without any special treatment as often claimed in the literature. Moreover, we show the influence of several fracture criteria and post-localization models on the accuracy of the results.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Numerical methods in engineering · Fluid Dynamics Simulations and Interactions · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi - 110016,
Department of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi - 110016
References (54)
Show source-provided references
1. 10.1177/105678950605804610.1177/1056789506058046 ↗
2. 10.1177/105678950707744110.1177/1056789507077441 ↗
3. 10.1177/105678950809754110.1177/1056789508097541 ↗
4. 10.1177/105678950505431310.1177/1056789505054313 ↗
5. Arrea, M. · 1982
6. 10.1061/(ASCE)0733-9399(1985)111:3(381)10.1061/(ASCE)0733-9399(1985)111:3(381) ↗
7. Bazant, Z.P. · Materials and Structures · 1983 · 16 · 155
8. 10.1016/S0045-7825(96)01079-110.1016/S0045-7825(96)01079-1 ↗
9. 10.1016/S0045-7949(98)00205-310.1016/S0045-7949(98)00205-3 ↗
10. 10.1002/(SICI)1097-0207(19960330)39:6<923::AID-NME887>3.0.CO;2-W10.1002/(SICI)1097-0207(19960330)39:6<923::AID-NME887>3.0.CO;2-W ↗
11. 10.1002/nme.162037020510.1002/nme.1620370205 ↗
12. 10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO;2-I10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO;2-I ↗
13. 10.1016/j.engfracmech.2007.05.01010.1016/j.engfracmech.2007.05.010 ↗
14. 10.1002/(SICI)1097-0207(19990320)44:8<1115::AID-NME547>3.0.CO;2-L10.1002/(SICI)1097-0207(19990320)44:8<1115::AID-NME547>3.0.CO;2-L ↗
15. 10.1016/0045-7949(95)00059-P10.1016/0045-7949(95)00059-P ↗
16. 10.1002/nme.201010.1002/nme.2010 ↗
17. 10.1002/(SICI)1097-0207(19970430)40:8<1483::AID-NME123>3.0.CO;2-610.1002/(SICI)1097-0207(19970430)40:8<1483::AID-NME123>3.0.CO;2-6 ↗
18. 10.1177/105678950808923010.1177/1056789508089230 ↗
19. 10.1177/105678950504593410.1177/1056789505045934 ↗
20. 10.1086/11216410.1086/112164 ↗
21. Ma, S. · International Journal of Impact Engineering · 2008
22. 10.1006/jcph.1994.103410.1006/jcph.1994.1034 ↗
23. Nam, J. · International Journal of Damage Mechanics · 2009 · 18 · 41910.1177/1056789508097549 ↗
24. 10.1007/BF0036994010.1007/BF00369940 ↗
25. 10.1177/105678950809755010.1177/1056789508097550 ↗
26. Rabczuk, T. · CMES-Computer Modeling in Engineering & Sciences · 2006 · 16 · 115
27. 10.1002/nag.52210.1002/nag.522 ↗
28. 10.1002/nme.115110.1002/nme.1151 ↗
29. 10.1016/j.cma.2006.06.02010.1016/j.cma.2006.06.020 ↗
30. 10.1002/nme.61710.1002/nme.617 ↗
31. 10.1016/j.cma.2007.08.02710.1016/j.cma.2007.08.027 ↗
32. 10.1007/s00466-006-0067-410.1007/s00466-006-0067-4 ↗
33. 10.1002/nme.201310.1002/nme.2013 ↗
34. 10.1002/nme.179710.1002/nme.1797 ↗
35. 10.1016/j.cma.2003.12.00510.1016/j.cma.2003.12.005 ↗
36. 10.1007/s00466-006-0122-110.1007/s00466-006-0122-1 ↗
37. 10.1016/0734-743X(95)99889-Y10.1016/0734-743X(95)99889-Y ↗
38. 10.1063/1.5071710.1063/1.50717 ↗
39. 10.1016/S0045-7825(96)01090-010.1016/S0045-7825(96)01090-0 ↗
40. 10.1016/S0734-743X(97)87441-610.1016/S0734-743X(97)87441-6 ↗
41. 10.1002/1097-0207(20000810)48:10<1445::AID-NME831>3.0.CO;2-910.1002/1097-0207(20000810)48:10<1445::AID-NME831>3.0.CO;2-9 ↗
42. 10.1023/A:100743201729010.1023/A:1007432017290 ↗
43. 10.1103/PhysRevLett.74.509610.1103/PhysRevLett.74.5096 ↗
44. 10.1016/0045-7825(94)90112-010.1016/0045-7825(94)90112-0 ↗
45. 10.1177/105678950809754510.1177/1056789508097545 ↗
46. 10.1002/nme.47110.1002/nme.471 ↗
47. Vignjevic, R. · CMES-Computer Modeling in Engineering & Sciences · 2006 · 14 · 181
48. 10.1177/105678950809656510.1177/1056789508096565 ↗
49. 10.1177/105678950504860410.1177/1056789505048604 ↗
50. 10.1016/0022-5096(94)90003-510.1016/0022-5096(94)90003-5 ↗
51. 10.1177/105678950808922910.1177/1056789508089229 ↗
52. Zhang, YY · CMES-Computer Modeling in Engineering & Sciences · 2008 · 31 · 189
53. 10.1177/105678950505036310.1177/1056789505050363 ↗
54. 10.1007/s00466-006-0115-010.1007/s00466-006-0115-0 ↗