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Archive of Applied Mechanics

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11-05-2018 | Original

Axisymmetric nonstationary elastic contact problem for conforming surfaces

Authors: Veniamin Kubenko, Ihor V. Yanchevskyi

Published in: Archive of Applied Mechanics | Issue 9/2018

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Abstract

A numerical analytic approach has been described to investigate the process of impact interaction of a solid spherical body with the inner surface of a spherical cavity in elastic space. A nonstationary mixed initial boundary problem is stated with generally a priori unknown movable boundaries. The methods of integral transforms and expansion of sought for values in Fourier series and the quadrature method are used to reduce the problem in solving a system on integral equations jointly with body motion equations and a relationship for determining the contact area boundary. Concrete numerical computations were done for different relationships of body and cavity radii. The impact of the relationship of body radii and mass on the characteristics of contact interaction have been analysed.

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Title: Axisymmetric nonstationary elastic contact problem for conforming surfaces
Authors: Veniamin Kubenko
Ihor V. Yanchevskyi
Publication date: 11-05-2018
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 9/2018
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-018-1387-5

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