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Published in: Meccanica 3/2013

01-04-2013

Effects of the moving speed of a rigid stamp on contact behaviors of anisotropic materials based on real fundamental solutions

Authors: Yue-Ting Zhou, Kang Yong Lee

Published in: Meccanica | Issue 3/2013

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Abstract

The paper studies contact problem of a rigid stamp moving at a constant speed over the surface of anisotropic materials. The solution method is based on Galilean transformation, Fourier transform and singular integral equation. The stated mixed boundary value problem is reduced to a Cauchy type singular integral equation based on real fundamental solutions, which is solved exactly in the case of a rigid flat or cylindrical stamp. Explicit expressions for various stresses are obtained in terms of elementary functions. In particular, explicit formula is derived to determine the unknown contact region for the cylindrical stamp. For a flat stamp, detailed calculations are provided to show the influences of dimensionless moving speed on the normal and in-plane stress. For a cylindrical stamp, the effects of dimensionless moving speed, the mechanical loading and the radius on the contact region, the normal and in-plane stress are analyzed in detail.

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Appendix
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Metadata
Title
Effects of the moving speed of a rigid stamp on contact behaviors of anisotropic materials based on real fundamental solutions
Authors
Yue-Ting Zhou
Kang Yong Lee
Publication date
01-04-2013
Publisher
Springer Netherlands
Published in
Meccanica / Issue 3/2013
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9628-0

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