Abstract
We consider adhesion of (macroscopically) flat-ended rigid indenters which face surface is superimposed with a short wave-length waviness as a simple model for roughness in a contact and an elastic body coated with a soft elastic layer. The soft layer has ambivalent influence on the adhesion strength: (a) due to softness, it facilitates the formation of complete contact, thus essentially increasing the adhesive strength; (b) on the other hand, the theoretical strength in a complete contact decreases because of the small elasticity. We investigate the critical thickness of the surface soft layer for achieving the maximum adhesive strength of the contact. We find that the properties of adhesive contact are changing not continuously with the thickness of the layer and find the corresponding critical values separating different modes of adhesive behavior.
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References
Barber JR (1990) Contact problems for the thin elastic layer. Int J Mech Sci 32(2):129–132. https://doi.org/10.1016/0020-7403(90)90112-V
Brito-Santana H, de Medeiros R, Ferreira AJM, Ramos RR, Tita V (2018) Effective elastic properties of layered composites considering non-uniform imperfect adhesion. Appl Math Model 59:183–204. https://doi.org/10.1016/j.apm.2018.01.009
Colas F, Barchiesi D, Kessentini S, Toury T, Lamy de la Chapelle M (2015) Comparison of adhesion layers of gold on silicate glasses for SERS detection. J Opt 17(11):114010. https://doi.org/10.1088/2040-8978/17/11/114010
Johnson KL (1995) The adhesion of two elastic bodies with slightly wavy surfaces. Int J Solids Struct 32(3–4):423–430. https://doi.org/10.1016/0020-7683(94)00111-9
Johnson KL, Kendall K, Roberts AD (1971) Surface energy and the contact of elastic solids. Proc R Soc London A 324:301–313
Kang J-H, Kim K-S, Kim K-W (2012) Prediction of surface and adhesion energies of nanoimprint lithography materials and anti-sticking layers by molecular dynamics simulation. Appl Surf Sci 258(14):5438–5442. https://doi.org/10.1016/j.apsusc.2012.02.031
Kendall K (1971) The adhesion and surface energy of elastic solids. J Phys D 4(8):1186–1195
Li Q, Popov VL (2018) Boundary element method for normal non-adhesive and adhesive contacts of power-law graded elastic materials. Comput Mech 61(3):319–329. https://doi.org/10.1007/s00466-017-1461-9
Li Q, Popov VL (2019) Adhesive contact between a rigid body of arbitrary shape and a thin elastic coating. Acta Mech 230(7):2447–2453. https://doi.org/10.1007/s00707-019-02403-0
Li Q, Pohrt R, Lyashenko IA, Popov VL (2020) Boundary element method for nonadhesive and adhesive contacts of a coated elastic half-space. Proc Inst Mech Eng Part J J Eng Tribol 234(1):73–83. https://doi.org/10.1177/1350650119854250.
Papangelo A (2018) Adhesion between a power-law indenter and a thin layer coated on a rigid substrate. FU Mech Eng 16(1):19–28. https://doi.org/10.22190/FUME180102008P
Persson BNJ (2012) Contact mechanics for layered materials with randomly rough surfaces. J Phys Condens Matter 24:095008. (10pp). https://doi.org/10.1088/0953-8984/24/9/095008
Pohrt R, Li Q (2014) Complete boundary element formulation for normal and tangential contact problems. Phys Mesomech 17(4):334–340. https://doi.org/10.1134/S1029959914040109
Pohrt R, Popov VL (2015) Adhesive contact simulation of elastic solids using local mesh-dependent detachment criterion in boundary elements method. FU Mech Eng 13(1):3–10
Rabinowicz E (1995) Friction and wear of materials, 2nd edn. Wiley
Scaraggi M, Comingio D (2017) Rough contact mechanics for viscoelastic graded materials: the role of small-scale wavelengths on rubber friction. Int J Solids Struct 125:276–296. https://doi.org/10.1016/j.ijsolstr.2017.06.008
Sridhar I, Sivashanker S (2003) On the adhesion mechanics of multi-layer elastic systems. Surf Coat Tech 167(2–3):181–187. https://doi.org/10.1016/S0257-8972(02)00893-9
Wu JJ, Lin YJ (2017) Boundary element analyses on the adhesive contact between an elastic sphere and a rigid half-space. Eng Anal Bound Elem 74:61–69. https://doi.org/10.1016/j.enganabound.2016.10.011
Yang F (2006) Asymptotic solution to axisymmetric indentation of a compressible elastic thin film. Thin Solid Films 515(4):2274–2283. https://doi.org/10.1016/j.tsf.2006.07.151
Acknowledgements
Authors acknowledges financial support by the Deutsche Forschungsgemeinshaft (DFG PO 810-55-1). This research was partially supported by “The Tomsk State University competitiveness improvement programme”.
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Li, Q., Lyashenko, I.A., Pohrt, R., Popov, V.L. (2022). Influence of a Soft Elastic Layer on Adhesion of Rough Surfaces. In: Borodich, F.M., Jin, X. (eds) Contact Problems for Soft, Biological and Bioinspired Materials. Biologically-Inspired Systems, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-85175-0_5
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DOI: https://doi.org/10.1007/978-3-030-85175-0_5
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