Crack paths and the problem of global directional stability
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (43)
Show source-provided references
1. Adda-Bedia M (2004) Path prediction of kinked and branched cracks in plane situations. Phys Rev Lett 93:18550210.1103/PhysRevLett.93.185502 ↗
2. Adda-Bedia M, Pomeau Y (1995) Crack instabilities of a heated glass strip. Phys Rev E 52:4105–411310.1103/PhysRevE.52.4105 ↗
3. ANSYS (2002) Revision 6.1, Swanson Analysis Systems Inc., Houston, USA10.1016/S1365-6937(02)08025-5 ↗
4. Bahr H-A, Gerbatsch A, Bahr U, Weiss H-J (1995) Oscillatory instability in thermal cracking: a first-order phase-transition phenomenon. Phys Rev E 52:240–24310.1103/PhysRevE.52.240 ↗
5. Bouchbinder E, Hentschel HG, Procaccia I (2003) Dynamical instabilities of quasistatic crack propagation under thermal stress. Phys Rev E 68:03660110.1103/PhysRevE.68.036601 ↗
6. Broberg KB (1987) On crack paths. Eng Fract Mech 28:663–67910.1016/0013-7944(87)90060-9 ↗
7. Broberg KB (2005) A note on T-stress determination using dislocation arrays. Int J Fract 131:1–1410.1007/s10704-004-3637-5 ↗
8. Cotterell B, Rice JR (1980) Slightly curved or kinked cracks. Int J Fract 16:155–16910.1007/BF00012619 ↗
9. Deegan RD, Chheda S, Patel L, Marder M, Swinney HL, Kim J, de Lozanne A (2003) Wavy and rough cracks in silicon. Phys Rev E 67:06620910.1103/PhysRevE.67.066209 ↗
10. Fett T (1998) T-stresses in rectangular plates and circular disks. Eng Fract Mech 60:631–65210.1016/S0013-7944(98)00038-1 ↗
11. Fett T (2002) T-stress solutions and stress intensity factors for 1-d cracks. Fortschritt-Berichte VDI 18
12. Fett T, Rizzi G, Bahr H-A, Bahr U, Pham V-B, Balke H (2007) Eng Fract Mech in preparation
13. Fett T, Munz D (1997) Stress intensity factors and weight functions, International series on advances in fracture. Computational mechanics Publications, Southampton UK Boston USA
14. Fett T, Rizzi G (2005) Weight functions for stress intensity factors and T-stress for oblique cracks in a half space. Int J Fract 132:L9–L1610.1007/s10704-005-0024-9 ↗
15. Fleck NA, Hutchinson JW, Suo Z (1991) Crack path selection in a brittle adhesive layer. Int J Solids Struct 27:1683–170310.1016/0020-7683(91)90069-R ↗
16. Gao H, Chiu C (1992) Slightly curved or kinked cracks in anisotropic elastic solids. Int J Solids Struct 29:947–97210.1016/0020-7683(92)90068-5 ↗
17. Goldstein RV, Salganik RL (1974) Brittle fracture of solids with arbitrary cracks. Int J Fract 10:507–52310.1007/BF00155254 ↗
18. Gunnars J, Stahle P, Wang TC (1997) On crack path stability in a layered material. Comput Mech 19:545–55210.1007/s004660050207 ↗
19. Hutchinson JW, Suo Z (1992) Mixed mode cracking in layered materials. Adv Appl Mech 29:63–9110.1016/S0065-2156(08)70164-9 ↗
20. Leevers PS, Radon JC, Culver LE (1976) Fracture trajectories in a biaxially stressed plate. J Mech Phys Solids 24:381–39510.1016/0022-5096(76)90010-7 ↗
21. dos Santos e Lucato SL, Bahr H-A, Pham V-B, Lupascu DC, Balke H, Rödel J, Bahr U (2002) Electrically driven cracks in PZT: experiments and fracture mechanics analysis. J Mech Phys Solids 50:2333–235310.1016/S0022-5096(02)00030-3 ↗
22. Marder M (1994) Instability of a crack in a heated strip. Phys Rev E 49:R51–R5410.1103/PhysRevE.49.R51 ↗
23. Mathematica 5 (2003) Revision 5.0.0, Wolfram research Inc., USA
24. Melin S (1983) Why do cracks avoid each other? Int J Fract 23:37–4510.1007/BF00020156 ↗
25. Melin S (1991) On the directional stability of wedging. Int J Fract 50:293–30010.1007/BF00032198 ↗
26. Melin S (1992) Directional stability of an originally straight crack. Int J Fract 53:121–12810.1007/BF00034668 ↗
27. Melin S (1993) Growth from a straight crack subjected to arbitrary remote loading. Int J Fract 46:511–518
28. Melin S (1994) Accurate data for stress intensity factors at infinitesimal kinks. J Appl Mech 61:467–47010.1115/1.2901468 ↗
29. Melin S (2002) The influence of the T-stress on the directional stability of cracks. Int J Fract 114:259–26510.1023/A:1015521629898 ↗
30. Niefanger R, Pham V-B, Schneider GA, Bahr H-A, Balke H, Bahr U (2004) Quasi-static straight and oscillatory crack propagation in ferroelectric ceramics due to moving electric field: experiments and theory. Acta Mater 52:117–12710.1016/j.actamat.2003.08.034 ↗
31. Noda N, Oda K (1992) Numerical solutions of the singular integral equations in the crack analysis using the body force method. Int J Fract 58:285–30410.1007/BF00048950 ↗
32. Obrezanova O, Movchan AB, Willis JR (2002) Stability of an advancing crack to small perturbation of its path. J Mech Phys Solids 50:57–8010.1016/S0022-5096(01)00052-7 ↗
33. Pham V-B, Bahr H-A, Bahr U, Fett T, Balke H (2005) Risspfade und Richtungsstabilität bei homogener biaxialer Belastung. DVM-Bericht 237:99–108
34. Pham V-B, Bahr H-A, Bahr U, Balke H (2007) Global criterion for oscillatory crack path instability (in preparation)10.1103/PhysRevE.77.066114 ↗
35. Ronsin O, Perrin B (1998) Dynamics of quasistatic directional crack growth. Phys Rev E 58(6):7878–788610.1103/PhysRevE.58.7878 ↗
36. Sanchez-Herencia AJ, James L, Lange F (2000) Bifurcation in alumina plates produced by a phase transformation in central, alumina/zirconia thin layers. J Eur Ceram Soc 20:1297–130010.1016/S0955-2219(00)00002-9 ↗
37. Schindler HJ, Sayir M (1984) Path of a crack in a beam due to dynamic flexural fracture. Int J Fract 25:95–10710.1007/BF01141553 ↗
38. Sumi Y, Nemat-Nasser S, Keer LM (1985) On crack path stability in a finite body. Eng Fract Mech 22:759–77110.1016/0013-7944(85)90106-7 ↗
39. Wachtman Jr JB (1974) Highlights of progress in the science of fracture of ceramics and glass. J Am Ceram Soc 57:509–51910.1111/j.1151-2916.1974.tb10799.x ↗
40. Williams ML (1957) On the stress distribution at the base of a stationary crack. J Appl Mech 24:109–11410.1115/1.4011454 ↗
41. Yang B, Ravi-Chandar K (2001) Crack path instabilities in a quenched glass plate. J Mech Phys Solids 49:91–13010.1016/S0022-5096(00)00022-3 ↗
42. Yuse A, Sano M (1993) Transition between crack patterns in quenched glass plates. Nature 362:32910.1038/362329a0 ↗
43. Zacharapoulos DA (2004) Stability analysis of crack path using the strain energy density theory. Theoret Appl Fract Mech 41:327–33710.1016/j.tafmec.2003.11.018 ↗