Interaction between cracking, delamination and buckling in brittle elastic thin films
Source abstract
Abstract
A discrete lattice based model for the interaction of cracking, delamination and buckling of brittle elastic coatings is presented. The model is unique in its simultaneous incorporation of the coating and of disorder in the interface and material properties, leading to realistic 3D bending (and buckling) behavior. Results are compared to the literature. In the case of cracking, the key role of a stress transfer correlation length ξ in establishing a scaling behavior for the brittle fracture of thin films is shown to extend to all geometrical and material properties involved. In the scaling regime of crack density in uniaxial tension cracking and delamination are found to occur simultaneously. In uniaxial tension of films with an internal biaxial compressive stress, the predicted initiation of buckles above delaminated areas near crack edges in the model is remarkably similar to experimental results.
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Research context
OpenAlex topics: Numerical methods in engineering · Rock Mechanics and Modeling · Ultrasonics and Acoustic Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (32)
Show source-provided references
1. Alava MJ, Nukala PKKV, Zapperi S (2006) Statistical models of fracture. Adv Phys 55: 349–47610.1080/00018730300741518 ↗
2. Audoly B (1999) Stability of straight delamination blisters. Phys Rev Lett 83(20): 4124–412710.1103/PhysRevLett.83.4124 ↗
3. Bernstein N, Hess DW (2003) Lattice trapping barriers to brittle fracture. Phys Rev Lett 91: 02550110.1103/PhysRevLett.91.025501 ↗
4. Beuth JL (1992) Cracking of thin bonded films in residual tension. Int J Solids Struct 29(13): 1657–167510.1016/0020-7683(92)90015-L ↗
5. Gille G (1984) Investigations on mechanical behaviour of brittle wear-resistant coatings, II: theory. Thin Solid Films 111: 201–21810.1016/0040-6090(84)90142-1 ↗
6. Gille G, Wetzig K (1983) Investigations on mechanical behaviour of brittle wear-resistant coatings, I: experimental results. Thin Solid Films 110: 37–5410.1016/0040-6090(83)90172-4 ↗
7. Handge UA, Sokolov IM, Blumen A (1997) Fragmentation of viscoelastic surface layers. Europhys Lett 40(3): 275–28010.1209/epl/i1997-00460-0 ↗
8. Handge UA, Leterrier Y, Manson JAE, Sokolov IM, Blumen A (1999) An analysis of disorder in thin silicon oxide coatings. Europhys Lett 48(3): 280–28510.1209/epl/i1999-00478-8 ↗
9. Handge UA, Sokolov IM, Blumen A (2000a) Universal scaling and nonlinearity in surface layer fragmentation. Phys Rev E 61(3): 3216–321910.1103/PhysRevE.61.3216 ↗
10. Handge UA, Leterrier Y, Sokolov IM, Blumen A (2000b) Two scaling domains in mutiple cracking phenomena. Phys Rev E 62(6): 7807–781010.1103/PhysRevE.62.7807 ↗
11. Handge UA, Sokolov IM, Blumen A (2001) Disorder and plasticity in the fragmentation of coatings. Phys Rev E 64: 01610910.1103/PhysRevE.64.016109 ↗
12. He MY, Evans AG, Hutchinson JW (1998) Effects of morphology on the decohesion of compressed thin films. Mat Sci Eng A 245: 5168–181
13. Hornig T, Sokolov IM, Blumen A (1996) Patterns and scaling in surface fragmentation processes. Phys Rev E 54(4): 4293–429810.1103/PhysRevE.54.4293 ↗
14. Hutchinson JW, Suo Z (1992) Mixed mode cracking in layered materials. Adv Appl Mech 29: 63–19110.1016/S0065-2156(08)70164-9 ↗
15. Hutchinson JW, He MY, Evans AG (2000) The influence of imperfections on the nucleation and propagation of buckling driven delaminations homogenization scheme. J Mech Phys Solids 48: 709–73410.1016/S0022-5096(99)00050-2 ↗
16. Jagla EA (2007) Modeling the buckling and delamination of thin films. Phys Rev B 75: 08540510.1103/PhysRevB.75.085405 ↗
17. Klein PA, Foulk JW, Chen EP, Wimmer SA, Gao HJ (2001) Physics-based modeling of brittle fracture: cohesive formulations and the application of meshfree methods. Theor Appl Fract Mech 37: 99–16610.1016/S0167-8442(01)00091-X ↗
18. Kitsuzenaki S (1999) Fracture patterns induced by desiccation in a thin layer. Phys Rev E 60(6): 6449–646410.1103/PhysRevE.60.6449 ↗
19. Kouznetsova V, Geers MGD, Brekelmans WAM (2002) Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme. Int J Numer Meth Eng 54: 1235–126010.1002/nme.541 ↗
20. Leung K-t, Neda Z (2000) Pattern formation and selection in quasistatic fracture. Phys Rev Lett 85(3): 662–66610.1103/PhysRevLett.85.662 ↗
21. Leung K-t, Josza L, Ravasz M, Neda Z (2001) Spiral cracks without twisting. Nature 410: 16610.1038/35065517 ↗
22. Meakin P (1987) A simple model for elastic fracture in thin films. Thin Solid Films 151: 165–19010.1016/0040-6090(87)90231-8 ↗
23. Mezin A, Lepage J, Pacia N, Paulmier D (1989a) Étude statistique de la fissuration de revêtements. I: théorie. Thin Solid Films 172: 179–20910.1016/0040-6090(89)90647-0 ↗
24. Mezin A, Pacia N, Nivoit M, Weber B (1989b) Étude statistique de la fissuration de revêtements. I: théorie. Thin Solid Films 172: 211–22510.1016/0040-6090(89)90650-0 ↗
25. Morgenstern O, Sokolov IM, Blumen A (1993) Analysis of a one-dimensional fracture model. J Phys A 26: 4521–453710.1088/0305-4470/26/18/019 ↗
26. Ostoja-Starzewski M (2002) Lattice models in micromechanics. Appl Mech Rev 55: 35–6010.1115/1.1432990 ↗
27. Skjeltorp AT, Meakin P (1988) Fracture in microsphere monolayers studied by experiment and computer simulation. Nature 335: 424–42610.1038/335424a0 ↗
28. van Mier JGM (2007) Multi-scale interaction potentials (F-r) for describing britle disordered materials like cement and concrete. Int J Fract 143: 41–7810.1007/s10704-007-9050-0 ↗
29. Walmann T, Malthe-Sorenssen A, Feder J, Jossang T, Meakin P (1996) Scaling relations between lengths and widths of fractures. Phys Rev Lett 77(27): 5393–539710.1103/PhysRevLett.77.5393 ↗
30. Xia CZ, Hutchinson JW (2000) Crack patterns in thin films. J Mech Phys Solids 48: 1107–113110.1016/S0022-5096(99)00081-2 ↗
31. Yanaka M, Tsukahara IM, Y, Nakaso N (1998) Cracking phenomena of brittle films in nanostructure composites analysed by a modified shear lag model with residual strain. J Mater Sci 33: 2111–211910.1023/A:1004371203514 ↗
32. Yanaka M, Kato Y, Tsukahara IM, Y, Takeda N (1999) Effects of temperature on the multiple cracking progress of sub-micron thick glass films deposited on a polymer substrate. Thin Solid Films 355–356:337–342, 26810.1016/S0040-6090(99)00447-2 ↗