The three-dimensional steady-state thermo-elastodynamic problem of moving sources over a half space

Lykotrafitis, G; Georgiadis, HG

dc.contributor.author	Lykotrafitis, G	en
dc.contributor.author	Georgiadis, HG	en
dc.date.accessioned	2014-03-01T01:19:38Z
dc.date.available	2014-03-01T01:19:38Z
dc.date.issued	2003	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15627
dc.subject	Distributions	en
dc.subject	Elastodynamics	en
dc.subject	Moving sources	en
dc.subject	Radon transform	en
dc.subject	Rayleigh waves	en
dc.subject	Thermoelasticity	en
dc.subject	Three-dimensional problems	en
dc.subject.classification	Mechanics	en
dc.subject.other	Strain	en
dc.subject.other	Structural loads	en
dc.subject.other	Thermoelasticity	en
dc.subject.other	Tribology	en
dc.subject.other	Thermo-elastodynamic theory	en
dc.subject.other	Heat flux	en
dc.subject.other	distribution	en
dc.subject.other	elastodynamics	en
dc.subject.other	heat flux	en
dc.subject.other	Rayleigh wave	en
dc.subject.other	thermoelasticity	en
dc.subject.other	three-dimensional flow	en
dc.title	The three-dimensional steady-state thermo-elastodynamic problem of moving sources over a half space	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(02)00613-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(02)00613-3	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	A procedure based on the Radon transform and elements of distribution theory is developed to obtain fundamental thermoelastic three-dimensional (3D) solutions for thermal and/or mechanical point sources moving steadily over the surface of a half space. A concentrated heat flux is taken as the thermal source, whereas the mechanical source consists of normal and tangential concentrated loads. It is assumed that the sources move with a constant velocity along a fixed direction. The solutions obtained are exact within the bounds of Biot's coupled thermo-elastodynamic theory, and results for surface displacements are obtained over the entire speed range (i.e. for sub-Rayleigh, super-Rayleigh/subsonic, transonic and supersonic source speeds). This problem has relevance to situations in Contact Mechanics, Tribology and Dynamic Fracture, and is especially related to the well-known heat checking problem (thermo-mechanical cracking in an unflawed half-space material from high-speed asperity excitations). Our solution technique fully exploits as auxiliary solutions the ones for the corresponding plane-strain and anti-plane shear problems by reducing the original 3D problem to two separate 2D problems. These problems are uncoupled from each other, with the first problem being thermoelastic and the second one pure elastic. In particular, the auxiliary plane-strain problem is completely analogous to the original problem, not only with regard to the field equations but also with regard to the boundary conditions. This makes the technique employed here more advantageous than other techniques, which require the prior determination of a fictitious auxiliary plane-strain problem through solving an integral equation. (C) 2002 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/S0020-7683(02)00613-3	en
dc.identifier.isi	ISI:000180865000008	en
dc.identifier.volume	40	en
dc.identifier.issue	4	en
dc.identifier.spage	899	en
dc.identifier.epage	940	en