Mechanics of tunnelling cracks in trilayer elastic materials in tension

International Journal of Fracture

Volumn 148, Issue 3, 2007, Pages 233-241

  Andersons, J ^a   Timmermans, P H M ^b   Modniks, J ^a  

^a UNIVERSITY OF LATVIA   (Latvia)

^b PHILIPS RESEARCH LABORATORIES   (Netherlands)

Author keywords

Energy release rate; Laminate; Tunnelling crack

Indexed keywords

ANALYTICAL APPROXIMATION; BRITTLE LAYERS; COMPLEX POTENTIALS; CRACK DRIVING FORCE; CRACK LENGTH; DISTRIBUTED DISLOCATION TECHNIQUE; ELASTIC LAYERS; ELASTIC MATERIALS; FEM SIMULATIONS; LAYER THICKNESS; MASTER-CURVE; SERIES REPRESENTATIONS; STEADY-STATE ENERGIES; TENSILE LOADING; TRILAYERS; TUNNELLING CRACK;

CRACK PROPAGATION; ENERGY RELEASE RATE; FINITE ELEMENT METHOD; TUNNELING (EXCAVATION);

CRACKS;

EID: 67749118286     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-008-9197-3     Document Type: Article

References (34)

1. Ambrico JM, Begley MR (2002) The role of initial flaw size, elastic compliance and plasticity in channel cracking of thin films. Thin Solid Films 419:144-153.
2. Ambrico JM, Jones EE, Begley MR (2002) Cracking in thin multi-layers with finite-width and periodic architectures. Int J Solids Struct 39:1443-1462.
3. Bateman H, Erdélyi A (1953) Higher transcendental functions, vol 2. McGraw-Hill, Book Company Inc. New York.
4. Berthelot J-M (2003) Transverse cracking and delamination in cross-ply glass-fiber and carbon-fiber reinforced plastic laminates: static and fatigue loading. Appl Mech Rev 56:111-147.
5. Beuth JL (1992) Cracking of thin bonded films in residual tension. Int J Solids Struct 29:1657-1675.
6. Beuth JL, Klingbeil NW (1996) Cracking of thin films bonded to elastic-plastic substrates. J Mech Phys Solids 44:1411- 1428.
7. Bouten PCP, Slikkerveer PJ, Leterrier Y (2005) Mechanics of ITO on plastic substrates for flexible displays. In: Crawford GP (ed) Flexible flat panel displays. Wiley, pp 99-120.
8. Chakravarthy SS, Jordan EH, Chiu WKS (2005) Thin film and substrate cracking under the influence of externally applied loads. Eng Fract Mech 72:1286-1298.
9. Chan KS, He MY, Hutchinson JW (1993) Cracking and stress redistribution in ceramic layered composites. Mater Sci Eng A 167:57-64.
10. Choi ST, EarmmeYY (2002) Elastic study on singularities interacting with interfaces using alternating technique Part II. Isotropic trimaterial. Int J Solids Struct 39:1199-1211.
11. Erdogan F, Gupta GD, Cook TS (1973) Numerical solution of singular integral equations. In: Sih GC (ed) Mechanics of fracture, vol 1. Methods of analysis and solutions of crack problems. Noordhoff, Leyden, pp 368-425.
12. Evans AG, Hutchinson JW (1995) The thermomechanical integrity of thin films and multilayers. Acta Metall Mater 43:2507-2530.
13. Hills DA, Kelly PA, Dai DN, Korsunsky AM (1996) Solution of crack problems: the distributed dislocation technique. Kluwer.
14. Ho S, Suo Z (1993) Tunneling cracks in constrained layers. J Appl Mech 60:890-894.
15. Hu MS, Evans AG (1989) The cracking and decohesion of thin films on ductile substrates. Acta Metall 37:917-925.
16. Huang R, Prévost JH, Huang ZY, Suo Z (2003) Channel-cracking of thin films with the extended finite element method. Eng Fract Mech 70:2513-2526. (Pubitemid 37073985)
17. Hutchinson JW, Suo Z (1992) Mixed mode cracking in layered materials. Adv Appl Mech 29:63-191.
18. Kim S-R, Nairn JA (2000) Fracture mechanics analysis of coating/substrate systems: I. Analysis of tensile and bending experiments. Eng Fract Mech 65:573-589.
19. Korsunsky AM (2002) On the use of interpolative quadratures for hypersingular integrals in fracture mechanics. Proc R Soc Lond A 458:2721-2733.
20. Leterrier Y (2003) Durability of nanosized oxygen-barrier coatings on polymers. Prog Mater Sci 48:1-55.
21. Nairn JA (2000) Matrix microcracking in composites. In: Kelly A, Zweben C (eds) Comprehensive composite materials, vol. 2. Pergamon, pp 403-432.
22. Nakamura T, Kamath SM (1992) Three-dimensional effects in thin film fracture mechanics. Mech Mater 13:67-77.
23. Rubinstein AA, Tang Y (2005) Micromechanical analysis of failure in thin protective coatings. Int J Solids Struct 42:5831-5847.
24. Slikkerveer PJ (2003) Bending the rules. Inf Disp 19:20-24.
25. Suiker ASJ, Fleck NA (2004) Crack tunneling and plane-strain delamination in layered solids. Int J Fract 125:1-32.
26. SuoZ (1989) Singularities interactingwith interfaces and cracks. Int J Solids Struct 25:1133-1142.
27. Suo Z, Ma EY, Gleskova H, Wagner S (1999) Mechanics of rollable and foldable film-on-foil electronics. Appl Phys Lett 74:1177-1179.
28. Tricomi FG (1951) On the finite Hilbert transformation. Quart J Math Oxford 2:199-211.
29. Tsui TY, McKerrow AJ, Vlassak JJ (2005) Constraint effects on thin film channel cracking behaviour. J Mater Res 20:2266- 2273.
30. Vlassak JJ (2003) Channel cracking in thin films on substrates of finite thickness. Int J Fract 119/120:299-323.
31. Xia ZC, Hutchinson JW (2000) Crack patterns in thin films. J Mech Phys Solids 48:1107-1131.
32. Ye T, Suo Z, Evans AG (1992) Thin film cracking and the roles of substrate and interface. Int J Solids Struct 29:2639-2648.
33. Zak AR, Williams ML (1963) Crack point stress singularities at a bimaterial interface. J Appl Mech 30:142-143.
34. Zhang X, Jeffrey RG (2006) Numerical studies on crack problems in three-layered elastic media using an image method. Int J Fract 139:477-493.