Contact with Intermolecular Interaction Forces for a Viscoelastic Layer (Self-Consistent Approach): The Energy Balance for the System of Indenter–Layer–Substrate

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Abstract

The contact of an infinitely extended plane indenter and a viscoelastic layer in the framework of the Derjaguin self-consistent approach with the surface (traditional formulation) and bulk (refined formulation) application of intermolecular interaction forces is considered. Corresponding models of the contact interaction are proposed, for which the energy balance in the indenter–layer–substrate system is derived and validated. The balance takes into account viscous energy dissipation, potential energy of elastic deformation, field energy, as well as the energy dissipated in jump of the contact gap.

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About the authors

I. A. Soldatenkov

Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: iasoldat@hotmail.com
Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Contact interaction of an indenter with a base consisting of a viscoelastic layer and a completely rigid substrate

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3. Fig. 2. Time dependences of the contact gap in the indenter inlet (a) and outlet (b) modes (traditional problem formulation). The arrows show the contact gap jumps

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4. Fig. 3. Characteristic graph of the function and values at indenter approach

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5. Fig. 4. Scheme of sliding of a body on a surface with a step (the lengths of springs are shortened for clarity)

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