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2022 | OriginalPaper | Chapter

Dynamic Sliding Contact for a Thin Elastic Layer

Authors : Julius Kaplunov, Danila A. Prikazchikov, Tomaž Savšek

Published in: Recent Approaches in the Theory of Plates and Plate-Like Structures

Publisher: Springer International Publishing

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Abstract

The contribution is concerned with dynamics of a thin elastic layer, subject to sliding contact. Both one- and two-sided sliding contact are studied, revealing the presence of the fundamental vibration modes. First, mixed boundary conditions modelling two-sided sliding are addressed, allowing a factorisation of the dispersion relation. Then, the asymmetric problem of one-sided sliding contact is tackled, with mixed conditions along the contact surface and prescribed normal stress on the opposite face. Using symmetry, this problem is found to be related to that for a layer of a double thickness, with classical boundary conditions in terms of stresses. In this case, the fundamental mode of interest coincides with the zero-order Rayleigh-Lamb symmetric wave. A long-wave low-frequency perturbation scheme is implemented for the forced problem.

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previous chapter Hierarchical Models of Conduction of Heat in Continua Contained in Prismatic Shell-like Domains
next chapter Analytical Approach to the Derivation of the Stress Field of a Cylindrical Shell with a Circular Hole Under Axial Tension
Metadata
Title
Dynamic Sliding Contact for a Thin Elastic Layer
Authors
Julius Kaplunov
Danila A. Prikazchikov
Tomaž Savšek
Copyright Year
2022
Book
Recent Approaches in the Theory of Plates and Plate-Like Structures

Print ISBN: 978-3-030-87184-0

Electronic ISBN: 978-3-030-87185-7

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-030-87185-7_9