Abstract
Adhesive contact model between an elastic cylinder and an elastic half space is studied in the present paper, in which an external pulling force is acted on the above cylinder with an arbitrary direction and the contact width is assumed to be asymmetric with respect to the structure. Solutions to the asymmetric model are obtained and the effect of the asymmetric contact width on the whole pulling process is mainly discussed. It is found that the smaller the absolute value of Dundurs’ parameter β or the larger the pulling angle θ, the more reasonable the symmetric model would be to approximate the asymmetric one.
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References
Hertz H.: On the contact of elastic solids. J. Reine Angewandte Math. 92, 156–171 (1882)
Johnson K.L., Kendall K., Roberts A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. A 324, 301–313 (1971)
Kendall K.: The adhesion and surface energy of elastic solids. J. Phys. D Appl. Phys. 4, 1186–1195 (1971)
Derjaguin B.V, Muller V.M., Toporov Y.P.: Effect of contact deformations on the adhesion of particles. J. Colloid Interface Sci. 53, 314–326 (1975)
Maugis D.: Adhesion of spheres: The JKR–DMT transition using a Dugdale model. J. Colloid Interface Sci. 150, 243–269 (1992)
Chu Y.S., Dufour S., Thiery J.P., Perez E., Pincet F.: Johnson-Kendall-Roberts theory applied to living cells. Phys. Rev. Lett. 94, 028102 (2005)
Chen S., Gao H.: Non-slipping adhesive contact between mismatched elastic spheres: A model of adhesion mediated deformation sensor. J. Mech. Phys. Solids 54, 1548–1567 (2006)
Chen S., Gao H.: Non-slipping adhesive contact of an elastic cylinder on stretched substrates. Proc. R. Soc. Lond. A 462, 211–228 (2006)
Arzt E., Gorb S., Spolenak R.: Form micro to nano contacts in biological attachment devices. Proc. Natl. Acad. Sci. USA 100, 10603–10606 (2003)
Glassmaker N.J., Jagota A., Hui C.Y., Kim J.: Design of biomimetic fibrillar interface: 1. Making contact. J. R. Soc. Interface 1, 23–33 (2004)
Hui C.Y., Glassmaker N.J., Tang T., Jagota A.: Design of biomimetic fibrillar interface: 2. mechanics of enhanced adhesion. J. R. Soc. Interface 1, 35–48 (2004)
Gao H., Wang X., Yao H., Gorb S., Arzt E.: Mechanics of hierarchical adhesion structures of gecko. Mech. Mater. 37, 275–285 (2005)
Spolenak R., Gorb S., Gao H., Artz E.: Effects of contact shape on the scaling of biological attachments. Proc. R. Soc. A. 46, 305–319 (2005)
Chen S., Gao H.: Non-slipping adhesive contact between mismatched elastic cylinders. Int. J. Solids Struct. 44, 1939–1948 (2007)
Chen S., Gao H.: Bio-inspired mechanics of reversible adhesion: Orientation-dependent adhesion strength for non-slipping adhesive contact with transversely isotropic elastic materials. J. Mech. Phys. Solids 55, 1001–1015 (2007)
Chen S., Soh A.: Tuning the geometrical parameters of biomimetic fibrillar structures to enhance adhesion. J. R. Soc. Interface 5, 373–382 (2008)
Chen S., Wang T.: General solution to two-dimensional non-slipping JKR model with a pulling force in an arbitrary direction. J. Colloid Interface Sci. 302, 363–369 (2006)
Johnson K.L.: Contact Mechanics. Cambridge University Press, New York (1985)
Yao H., Della Rocca R., Guduru P.R., Gao H.: Adhesion and sliding response of a biologically inspired fibrillar surface: Experimental observations. J. R. Soc. Interface 5, 723–733 (2008)
Dundurs J.: Edge-bonded dissimilar orthogonal elastic wedges. Appl. J. Mech. 36, 650–652 (1969)
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The project supported by the National Natural Science Foundation of China (10672165, 10732050, 10721202), KJCX2-YW-M04, CAS Innovation Program and Start Fund for Returning Overseas person.
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Yan, C., Chen, S. On the contact width in generalized plain strain JKR model for isotropic solids. Acta Mech Sin 25, 491–497 (2009). https://doi.org/10.1007/s10409-009-0260-8
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DOI: https://doi.org/10.1007/s10409-009-0260-8