Two spherical particles that attract each other by van der Waals volume forces and can undergo deformation as a result of the attraction are considered. Small deformations of such particles can be described by the solution of the Hertz problem. The deformation of particles, in turn, alters the force of attraction between them. It has been established that the relationship between the adhesion and elasticity of the indicated particles is determined by the degree to which these particles deform and that the adhesion force acting between the particles depends on their elasticity, size, and the Hamaker constants.
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References
J. Tomas, Adhesion of ultrafine particles — A micromechanics approach, Chem. Eng. Sci., No. 62, 1997–2010 (2007).
J. Tomas, Adhesion of ultrafine particles — Energy absorption at contact, Chem. Eng. Sci., No. 62, 5925–5939 (2007).
H. C. Hamaker, The London–Van der Waals attraction between spherical particles, Physica, 4, No. 10, 1058–1072 (1937).
J. Israelachvili, Intermolecular and Surface Forces, Academic Press, London (1985–2004).
B. V. Deryagin, N. V. Churaev, and V. M. Muller, Surface Forces [in Russian], Nauka, Moscow (1985).
S. Timoshenko and J. N. Godier, Theory of Elasticity, McGraw-Hill Book Company (1951).
L. D. Landau and E. M. Lifshits, Elasticity Theory [in Russian], Nauka, Moscow (1987).
N. N. Kalitkin, Numerical Methods [in Russian], Nauka, Moscow (1978).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 85, No. 1, pp. 72–78, January–February, 2012.
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D’yachenko, E.N., Dueck, J.G. Adhesive interaction of elastically deformable spherical particles. J Eng Phys Thermophy 85, 79–86 (2012). https://doi.org/10.1007/s10891-012-0623-z
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DOI: https://doi.org/10.1007/s10891-012-0623-z