An illustration of sliding contact at any constant speed on highly elastic half-spaces

Brock, LM; Georgiadis, HG

dc.contributor.author	Brock, LM	en
dc.contributor.author	Georgiadis, HG	en
dc.date.accessioned	2014-03-01T01:16:08Z
dc.date.available	2014-03-01T01:16:08Z
dc.date.issued	2001	en
dc.identifier.issn	0272-4960	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13937
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Deformation	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Elasticity	en
dc.subject.other	Friction	en
dc.subject.other	Integral equations	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Speed	en
dc.subject.other	Strain	en
dc.subject.other	Stresses	en
dc.subject.other	Elastic half spaces	en
dc.subject.other	Neo Hookean material	en
dc.subject.other	Rayleigh speed	en
dc.subject.other	Sliding contact	en
dc.subject.other	Boundary value problems	en
dc.title	An illustration of sliding contact at any constant speed on highly elastic half-spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imamat/66.6.551	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imamat/66.6.551	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	A rigis smooth indentor slides at a constant speed on a compressible isotropic neo-Hookean half-space that is subjected to pre-stress aligned with the surface and sliding direction. A dynamic steady-sliding situation of plane strain is treated as the superposition of contact-triggered infinitesimal deformations superposed upon finite deformations due to pre-stress. The neo-Hookean material behaves for small strains as a linear elastic solid with Poisson's ratio 1 : 4. Exact solutions are presented for both deformations and, for a range of acceptable pre-stress values, the infinitesimal component exhibits the typical non-isotropy induced by pre-stress, and several critical speeds. In view of the unilateral constraints of contact, these speeds serve to define the sliding speed ranges for which physically acceptable solutions arise. A Rayleigh speed is the upper bound for subsonic sliding, and transonic sliding can occur only at a single speed. For the generic parabolic indentor, contact zone traction continuity is lost at the zone leading edge for trans- and supersonic sliding. For pre-stress levels that fall outside the acceptable range, either a negative Poisson effect occurs, or a Rayleigh speed does not exist and the unilateral constraints cannot be satisfied for any subsonic sliding speed.	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)	en
dc.identifier.doi	10.1093/imamat/66.6.551	en
dc.identifier.isi	ISI:000172628800002	en
dc.identifier.volume	66	en
dc.identifier.issue	6	en
dc.identifier.spage	551	en
dc.identifier.epage	566	en