Approximate analytical solutions for the energy release rate of planar cracks in constrained elastic thin layers
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OpenAlex topics: Numerical methods in engineering · Contact Mechanics and Variational Inequalities · Fluid Dynamics Simulations and Interactions
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References (39)
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1. Abramowitz M, Stegun IA (1968) Handbook of mathematical functions with formulas, graphs, and mathematical tables. volume volume55. publisherUS Government printing office
2. Anderson ML, Mott PH, Roland CM (2004) The compression of bonded rubber disks. Rubber Chem Technol 77:293–30210.5254/1.3547824 ↗
3. Bayraktar E, Bessri K, Bathias C (2008) Deformation behaviour of elastomeric matrix composites under static loading conditions. Eng Fracture Mech 75:2695–270610.1016/j.engfracmech.2007.03.016 ↗
4. Benvidi FH, Bacca M (2021) Theoretical limits in detachment strength for axisymmetric bi-material adhesives. J Appl Mech 88:12100710.1115/1.4052107 ↗
5. Biggins JS, Saintyves B, Wei Z, Bouchaud E, Mahadevan L (2013) Digital instability of a confined elastic meniscus. Proc Natl Acad Sci 110:12545–1254810.1073/pnas.1302269110 ↗
6. Creton C, Ciccotti M (2016) Fracture and adhesion of soft materials: a review. Rep Prog Phys 79:04660110.1088/0034-4885/79/4/046601 ↗
7. Crosby AJ, Shull KR, Lakrout H, Creton C (2000) Deformation and failure modes of adhesively bonded elastic layers. J Appl Phys 88:2956–296610.1063/1.1288017 ↗
8. Filon LNG (1902) Iv. on the elastic equilibrium of circular cylinders under certain practical systems of load. Philosophical Transactions of the Royal Society of London. Series A, Contain Papers Math Phys Charact 198:147–233
9. Fischer SC, Arzt E, Hensel R (2017) Composite pillars with a tunable interface for adhesion to rough substrates. ACS Appl Mater Interfaces 9:1036–104410.1021/acsami.6b11642 ↗
10. Fond C (2001) Cavitation criterion for rubber materials: a review of void-growth models. J Polym Sci Part B 39:2081–209610.1002/polb.1183 ↗
11. Gent AN, Lindley PB (1959) Internal rupture of bonded rubber cylinders in tension Proceedings of the Royal Society of London. Series A. Math Phys Sci 249:195–205
12. Green A, Sneddon I (1950) The distribution of stress in the neighbourhood of a flat elliptical crack in an elastic solid, in: booktitleMathematical Proceedings of the Cambridge Philosophical Society, organizationCambridge University Press. pp. 159–16310.1017/S0305004100025585 ↗
13. Guo J, Ravi-Chandar K (2023) On crack nucleation and propagation in elastomers: I. In situ optical and X-ray experimental observations. Int J Fracture 243:1–2910.1007/s10704-023-00714-x ↗
14. Hao S, Suo Z, Huang R (2023) Why does an elastomer layer confined between two rigid blocks grow numerous cavities? J Mech Phys Solids 173:10522310.1016/j.jmps.2023.105223 ↗
15. Hensel R, McMeeking RM, Kossa A (2019) Adhesion of a rigid punch to a confined elastic layer revisited. J Adhesion 95:44–6310.1080/00218464.2017.1381603 ↗
16. Horváth AL, Kossa A (2024) Stability maps for the slightly compressible poker chip detachment problem. Finite Elements Anal Design 242:10425710.1016/j.finel.2024.104257 ↗
17. Hutchinson JW, Suo Z (1991) Mixed mode cracking in layered materials. Adv Appl Mech 29:63–19110.1016/S0065-2156(08)70164-9 ↗
18. Irwin GR (1962) Crack-extension force for a part-through crack in a plate. J Appl Mech 29:651–65410.1115/1.3640649 ↗
19. Kanninen MF, Popelar CH (1985) Advanced fracture mechanics. Oxford engineering science series, 15, publisherOxford University Press, addressNew York
20. Kassir MK, Bregman AM (1972) The stress-intensity factor for a penny-shaped crack between two dissimilar materials. J Appl Mech 39:308–31010.1115/1.3422648 ↗
21. Kelly JM, Konstantinidis D (2011) Mechanics of rubber bearings for seismic and vibration isolation. John Wiley, Hoboken10.1002/9781119971870 ↗
22. Kumar A, Lopez-Pamies O (2021) The poker-chip experiments of Gent and Lindley (1959) explained. J Mech Phys Solids 150:10435910.1016/j.jmps.2021.104359 ↗
23. Lin S, Mao Y, Radovitzky R, Zhao X (2017) Instabilities in confined elastic layers under tension: fringe, fingering and cavitation. J Mech Phys Solids 106:229–25610.1016/j.jmps.2017.05.011 ↗
24. Lin Y, Hui C, Conway H (2000) A detailed elastic analysis of the flat punch (tack) test for pressure-sensitive adhesives. J Polym Sci Part B - Polym Phys 38:2769–278410.1002/1099-0488(20001101)38:21<2769::AID-POLB60>3.0.CO;2-J ↗
25. Lindsey GH (1967) Triaxial fracture studies. J Appl Phys 38:4843–485210.1063/1.1709232 ↗
26. Lindsey GH, Schapery RA, Williams ML, Zak AR (1963) The triaxial tension failure of viscoelastic materials. typeTechnical Report number63-152. Aerospace Research Laboratories10.21236/AD0419128 ↗
27. Malyshev B, Salganik R (1965) The strength of adhesive joints using the theory of cracks. Int J Fracture 1:1–2910.1007/BF00184148 ↗
28. Mear ME, Rodin GJ (2011) An isolated mode I three-dimensional planar crack: the stress intensity factor is independent of the elastic constants. Int J Fracture 172:217–21810.1007/s10704-011-9663-1 ↗
29. Minsky H, Turner K (2015) Achieving enhanced and tunable adhesion via composite posts. Appl Phys Lett 106:20160410.1063/1.4921423 ↗
30. Movchan A, Movchan N, Rodin G (2023) Asymptotic analysis of thin linear elastic layers constrained by two rigid plates. Int J Solids Struct 285:11256110.1016/j.ijsolstr.2023.112561 ↗
31. Movchan AB, Rebrov KR, Rodin GJ (2021) Axisymmetric deformation of compressible, nearly incompressible, and incompressible thin layers between two rigid surfaces. Int J Solids Struct 214:61–7310.1016/j.ijsolstr.2020.12.002 ↗
32. Reynolds O (1886) On the Theory of Lubrication and Its Application to Mr. Beauchamp Tower’s Experiments, Including an Experimental Determination of the Viscosity of Olive Oil. Philos Trans Royal Soc London. Series A 177:157–234
33. Rice JR (1988) Elastic fracture mechanics concepts for interfacial cracks. J Appl Mech 55:98–10310.1115/1.3173668 ↗
34. Sadowsky M, Sternberg E (1949) Stress concentration around a triaxial ellipsoidal cavity. J Appl Mech 16:149–15710.1115/1.4009928 ↗
35. Shull KR, Creton C (2004) Deformation behavior of thin, compliant layers under tensile loading conditions. J Polym Sci Part B: Polym Phys 42:4023–404310.1002/polb.20258 ↗
36. Stefan J (1874) Versuche über die scheinbare Adhäsion. Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Classe 69, 713–735
37. Tada H, Paris PC, Irwin GR, (1973) The stress analysis of cracks handbook. publisherDel Research Corporation
38. Warn GP, Ryan KL (2012) A review of seismic isolation for buildings: historical development and research needs. Buildings 2:300–32510.3390/buildings2030300 ↗
39. Webber RE, Shull KR, Roos A, Creton C (2003) Effects of geometric confinement on the adhesive debonding of soft elastic solids. Phys Rev E 68:02180510.1103/PhysRevE.68.021805 ↗