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The problem of a rigid punch moving on a viscoelastic half-plane with inertial effects approximately included

Published online by Cambridge University Press:  17 February 2009

J. M. Golden
J. M. Golden
Affiliation:
Road Safety Section, National Institute for Physical Planning and Construction Research, Waterloo Road, Dublin 4, Ireland
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Abstract

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The problem of an infinitely long rigid punch of uniform cross-section moving across a viscoelastic half-space at constant velocity, large enough so that inertial effects cannot be neglected, is examined and solved in various approximations. Frictional shear is assumed to exist between the punch and the half-space. The method, which is an extension of that developed in previous papers [6, 7], is applicable for any form of viscoelastic behaviour in the half-space. For the special case of discrete spectrum behaviour the method is described in detail. For the case where the punch is cylindrical and viscoelastic effects are small compared with elastic effects, explicit expressions are given for all quantities of interest, in particular the coefficient of hysteretic friction. A general Hilbert transform formula is derived in the appendix.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 2 , August 1979 , pp. 198 - 229
Copyright
Copyright © Australian Mathematical Society 1979

References

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