Tangential-displacement effects in the wedge indentation of an elastic half-space - An integral-equation approach

Georgiadis, HG

dc.contributor.author	Georgiadis, HG	en
dc.date.accessioned	2014-03-01T01:14:13Z
dc.date.available	2014-03-01T01:14:13Z
dc.date.issued	1998	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12928
dc.subject	Boundary Condition	en
dc.subject	Contact Problem	en
dc.subject	Contact Stress	en
dc.subject	Contact Zone	en
dc.subject	Integral Equation	en
dc.subject	Mixed Boundary Value Problem	en
dc.subject	Stress Field	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Integral equations	en
dc.subject.other	Interfaces (materials)	en
dc.subject.other	Tangential displacement effects	en
dc.subject.other	Wedge indentation	en
dc.subject.other	Elasticity	en
dc.title	Tangential-displacement effects in the wedge indentation of an elastic half-space - An integral-equation approach	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660050311	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660050311	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	The idea of considering tangential-displacement effects in a classical elastostatic contact problem is explored in this paper. The problem involves the static frictionless indentation of a linearly elastic half-plane by a rigid wedge, and its present formulation implies that the tangential surface displacements are not negligible and should thus be coupled with the normal surface displacements in imposing the contact zone boundary conditions. L.M. Brock introduced this idea some years ago in treating self-similar elastodynamic contact problems, and his studies indicated that such a formulation strongly influences the contact-stress behavior at half-plane points making contact with geometrical discontinuities of the indentor. The present work again demonstrates, by studying an even more classical problem, that the aforementioned considerations eliminate contact-stress singularities and therefore yield a more natural solution behavior. In particular, the familiar wedge-apex logarithmic stress-singularity encountered within the standard formulation of the problem (i.e. by avoiding the tangential displacement in the contact boundary condition) disappears within the proposed formulation. The contact stress beneath the wedge apex takes now a finite value depending on the wedge inclination angle and the material constants. By utilizing pertinent integral relations for the displacement/stress field in the half-plane, an unusual mixed boundary-value problem results whose solution is obtained through integral equations.	en
heal.publisher	SPRINGER VERLAG	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660050311	en
dc.identifier.isi	ISI:000074177700011	en
dc.identifier.volume	21	en
dc.identifier.issue	4-5	en
dc.identifier.spage	347	en
dc.identifier.epage	352	en