Modeling and simulation of intersonic crack growth

International Journal of Solids and Structures

Volumn 41, Issue 7, 2004, Pages 1773-1799

  Hao, Su ^a   Liu, Wing Kam ^a   Klein, Patrick A ^b   Rosakis, Ares J ^c  

^a Northwestern University   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c California Institute of Technology   (United States)

Author keywords

Cohesive model; Crack growth; Dynamic fracture; Fracture toughness; Interface crack; Interfacial decohesion; Intersonic; Meshfree method; Supersonic

Indexed keywords

BOND STRENGTH (MATERIALS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONTINUUM MECHANICS; FAILURE ANALYSIS; FINITE ELEMENT METHOD; FRACTURE; INTERFACES (MATERIALS); MATHEMATICAL MODELS; SHEAR STRESS; STRAIN RATE; THICKNESS MEASUREMENT; WAVE PROPAGATION;

DECOHESION TESTS; MECHANICAL DISPLACEMENTS;

CRACK PROPAGATION;

COMPOSITE; FRACTURE MECHANICS;

EID: 1342268086     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.10.025     Document Type: Article

References (59)

1. Achenbach J.D. Wave Propagation in Elastic Solids 1973 North-Holland Publishing Co Amsterdam, London
2. Andrews D.J. Rupture velocity of plane strain shear cracks Journal of Geophysical Research 81 32 1976 5679-5687
3. Babuska, I., Banerjee, U., et al., in press. Survey of meshless and generalized finite element methods: A unified approach. Acta Numerica
4. Belytschko T. Neal M.O. Contact-impact by the pinball algorithm with penalty and Lagrangian-methods International Journal for Numerical Methods in Engineering 31 3 1991 547-572
5. Belytschko T. Lu Y.Y. Gu L. Element-free Galerkin methods International Journal for Numerical Methods in Engineering 37 1994 229-256
6. Belytschko T. Krongauz Y. Organ D. Fleming M. Krysl P. Meshless methods: An overview and recent developments Computer Methods in Applied Mechanics and Engineering 139 1-4 1996 3-47
7. Belytschko T. Liu W.K. Moran B. Nonlinear Finite Elements for Continua and Structures 2000 John Wiley - Sons New York
8. Ben-Zion Y. Dynamic ruptures in recent models of earthquake faults Journal of the Mechanics and Physics of Solids 49 9 2001 2209-2244
9. Bilby B.A. Cottrell A.H. Swinden K.H. The spread of plastic yield from a notch Proceedings of the Physical Society (London) A 272 1963 304-314
10. Bouchon M. Bouin M.P. Karabulut H. Toksoz M.N. Dietrich M. Rosakis A.J. How fast is rupture during an earthquake? New insights from the 1999 Turkey earthquakes Geophysical Research Letters 28 14 2001 2723-2726
11. Broberg K.B. Cracks and Fracture 1999 Academic Press London
12. Broberg K.B. Intersonic crack propagation in an orthotropic material International Journal of Fracture 99 1-2 1999 1-11
13. Burridge R. Conn G. et al. Stability of a rapid mode-II shear crack with finite cohesive traction Journal of Geophysical Research 84 NB5 1979 2210-2222
14. Dmowska R. Rice J.R. Fracture theory and its seismological application Continuum Theories in Solid Earth Physics 1986 Elsevier
15. Dwivedi, S.K., Espinosa, H.D., submitted for publication. Modeling dynamic crack propagation in fiber reinforced composite including frictional effects. Mechanics of Materials (special issue) honoring Sia Nemat-Nasser
16. Federici L. Nobile L. Piva A. Viola E. On the intersonic crack propagation in an orthotropic medium International Journal of Fracture 112 1 2001 69-85
17. Freund L.B. Crack propagation in an elastic solid subjected to general loading Journal of the Mechanics and Physics of Solids 20 1972 141-152
18. Freund L.B. Mechanics of dynamic shear crack-propagation Journal of Geophysical Research 84 NB5 1979 2199-2209
19. Freund L.B. Dynamic Fracture Mechanics 1990 Cambridge University Press Cambridge
20. Gao H.J. Huang Y. Nix W.D. Hutchinson J.W. Mechanism-based strain gradient plasticity--I. Theory Journal of Mechanics and Physics of Solids 47 1999 1239-1263
21. Gao H.J. Huang Y.G. Abraham F.F. Continuum and atomistic studies of intersonic crack propagation Journal of the Mechanics and Physics of Solids 49 9 2001 2113-2132
22. Geubelle P.H. Kubair D.V. Intersonic crack propagation in homogeneous media under shear-dominated loading: Numerical analysis Journal of the Mechanics and Physics of Solids 49 3 2001 571-587
23. Gumbsch P. Gao H. Dislocations faster than the speed of sound Science 283 5404 1999 965-968
24. Guo G.F. Yang W. Huang Y. Rosakis A.J. Sudden deceleration or acceleration of an intersonic shear crack Journal of the Mechanics and Physics of Solids 51 2 2003 311-331
25. Hao, S., Liu, W.K., 2002. Moving particle finite element method with global superconvergence. In: The 5th World Congress on Computational Mechanics, Vienna, Austria
26. Hao S. Cornec A. Schwalbe K.-H. Plastic stress-strain fields and limit loads of a plane strain cracked tensile panel with a mismatched welded joint International Journal of Solids and Structures 34 3 1997 297-316
27. Hao S. Liu W.K. Chang C.T. Computer implementation of damage models by finite element and meshfree methods Computer Methods in Applied Mechanics and Engineering 187 3-4 2000 401-440
28. Hao S. Liu W.K. Dong Q. Localization-induced band and cohesive model Journal of Applied Mechanics--Transactions of the ASME 67 4 2000 803-812
29. Hao, S., Liu, W.K., Klein, P., 2000c. Multi-scale damage model, Chicago, IL, USA, IUTAM 2000
30. Hao S. Park H.S. Liu W.K. Moving particle finite element method International Journal for Numerical Methods in Engineering 53 8 2002 1937-1958
31. Hao, S., Liu, W.K., Weertman, J., in press. Cohesive solutions of intersonic moving dislocation. Philosophical Magazine, A
32. Hao, S., Liu, W.K., Belytschko, T., in press. Moving particle finite element method with global smoothness. International Journal for Numercial Methods in Engineering
33. Hao, S., Liu, W.K., Moran, B., Vernerey, F., Olson, G.B., in press. Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. Computer Method in Applied Mechanics and Engineering
34. Hao, S., Moran, B., Liu, W.K., Olson, G.B., in preparation. A hierarchical multi-physics model for design of high toughness steels
35. Huang Y. Wang W. Liu C. Rosakis A.J. Intersonic crack growth in bimaterial interfaces: An investigation of crack face contact Journal of the Mechanics and Physics of Solids 46 11 1998 2233-2259
36. Huang Y. Wang W. Liu C. Rosakis A.J. Analysis of intersonic crack growth in unidirectional fiber-reinforced composites Journal of the Mechanics and Physics of Solids 47 9 1999 1893-1916
37. Hughes T.J.R. The Finite Element Method 1987 Prentice-Hall New Jersey
38. Klein P. Gao H.J. Crack nucleation and growth as strain localization in a virtual-bond continuum Engineering Fracture Mechanics 61 1998 21-48
39. Liu W.K. Jun S. Zhang Y.F. Reproducing kernel particle methods International Journal for Numerical Methods in Fluids 20 1995 1081-1106
40. Liu W.K. Chen Y. Chang C.T. Belytschko T. Advances in multiple scale kernel particle methods Computational Mechanics 18 2 1996 73-111
41. Liu W.K. Li S.F. et al. Moving least-square reproducing kernel methods. 1. Methodology and convergence Computer Methods in Applied Mechanics and Engineering 143 1-2 1997 113-154
42. Needleman A. An analysis of intersonic crack growth under shear loading Journal of Applied Mechanics--Transactions of the ASME 66 4 1999 847-857
43. Needleman A. Rosakis A.J. The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces Journal of the Mechanics and Physics of Solids 47 12 1999 2411-2449
44. Oden J.T. Finite Elements of Nonlinear Continua 1972 McGraw-Hill Book Company New York
45. Perrin G. Rice J.R.et al Self-healing slip pulse on a frictional surface Journal of the Mechanics and Physics of Solids 43 9 1995 1461-1495
46. Piva A. Hasan W. Effect of orthotropy on the intersonic shear crack propagation Journal of Applied Mechanics--Transactions of the ASME 63 4 1996 933-938
47. Rice J.R. Thomson R. Ductile versus brittle behavior of crystals Philosophical Magazine 29 1 1974 73-97
48. Rice J.R. Tracey D.M. On the ductile enlargement of voids in triaxial stress field Journal of the Mechanics and Physics of Solids 17 1969 2-15
49. Rosakis P. Supersonic dislocation kinetics from an augmented Peierls model Physical Review Letters 86 1 2001 95-98
50. Rosakis A.J. Intersonic shear cracks and fault ruptures Advances in Physics 51 4 2002 1189-1257
51. Rosakis A.J. Samudrala O.et al Cracks faster than the shear wave speed Science 284 5418 1999 1337-1340
52. Rosakis A.J. Samudrala O.et al Intersonic shear crack growth along weak planes Materials Research Innovations 3 4 2000 236-243
53. Samudrala O. Huang Y.et al Subsonic and intersonic mode II crack propagation with a rate-dependent cohesive zone Journal of the Mechanics and Physics of Solids 50 6 2002 1231-1268
54. Samudrala O. Rosakis A.J. Effect of loading and geometry on the subsonic/intersonic transition of a bimaterial interface crack Engineering Fracture Mechanics 70 2 2003 309-337
55. Tvergaard V. Needleman A. Effect of crack meandering on dynamic, ductile fracture Journal of the Mechanics and Physics of Solids 40 2 1992 447-471
56. Uenishi K. Rice J.R. Universal nucleation length for slip-weakening rupture instability under non-uniform fault loading Journal of Geophysical Research 108 B1 2003 1701-1714
57. Washabaugh P.D. Knauss W.G. A reconciliation of dynamic crack velocity and Rayleigh-wave speed in isotropic brittle solids International Journal of Fracture 65 2 1994 97-114
58. Weertman J. Dislocations in uniform motion on slip or climb planes having periodic force law Mura T. Mathematical Theory of Dislocations 1969 ASME
59. Weertman J. Weertman J.R. Moving dislocations Dislocation in Solids vol. 3 1980 North-Holland Publishing Co