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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-8pp.7259-7267

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T.R. SreeSastha Ram, Rojin Mathews, and U.B. Jayadeep, "Computational Modelling of Adhesive Interaction Between Two Elastic Bodies Using a Lumped Parameter Model," Mech. Solids. 60 (8), 7259-7267 (2025)
Year 2025 Volume 60 Number 8 Pages 7259-7267
DOI 10.1134/S0025654425604719
Title Computational Modelling of Adhesive Interaction Between Two Elastic Bodies Using a Lumped Parameter Model
Author(s) T.R. SreeSastha Ram (Department of Mechanical Engineering, National Institute of Technology Calicut, Kozhikode, Kerala, 673601 India, sastha123@gmail.com)
Rojin Mathews (Department of Mechanical Engineering, National Institute of Technology Calicut, Kozhikode, Kerala, 673601 India)
U.B. Jayadeep (Department of Mechanical Engineering, National Institute of Technology Calicut, Kozhikode, Kerala, 673601 India)
Abstract Adhesive interaction caused by van der Waals forces is ubiquitous since it occurs even between neutral molecules or atoms. It plays a prominent role in the interactions between nano- or micro-sized bodies. Experimental and analytical studies in such cases are limited only to idealized ones and face many invincible difficulties. Using computational studies incorporating the interaction between two elastic bodies, a better understanding can be obtained in various fields including material science and biophysics. In this work, we present a novel method to develop a computational model for the interaction between two elastic bodies using the Lumped Parameter Model, which was proven to be computationally more efficient. For validation purposes, numerical studies are carried out with idealized cases and the results obtained are compared with the analytical results. Particle capture studies and methods to overcome the attachment force are also conducted in this study to illustrate the applicability of the formulation.
Keywords Adhesion, van der Waals forces, body force formulation, Lumped parameter model, particle deposition
Received 02 September 2025Revised 18 December 2025Accepted 20 December 2025
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