Three-dimensional thermoelastic wave motions in a half-space under the action of a buried source

Lykotrafitis, G; Georgiadis, HG; Brock, LM

dc.contributor.author	Lykotrafitis, G	en
dc.contributor.author	Georgiadis, HG	en
dc.contributor.author	Brock, LM	en
dc.date.accessioned	2014-03-01T01:17:16Z
dc.date.available	2014-03-01T01:17:16Z
dc.date.issued	2001	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14430
dc.subject	Green's functions	en
dc.subject	Thermoelasticity	en
dc.subject	Three-dimensional	en
dc.subject	Waves	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Green's function	en
dc.subject.other	Heat flux	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Thermoelasticity	en
dc.subject.other	Wave motions	en
dc.subject.other	Solids	en
dc.subject.other	thermoelasticity	en
dc.subject.other	three-dimensional flow	en
dc.title	Three-dimensional thermoelastic wave motions in a half-space under the action of a buried source	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(00)00311-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(00)00311-5	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	A three-dimensional (3D) transient dynamic problem within Blot's coupled thermoelastic theory is studied in this paper. It involves a half-space acted upon by a thermal and mechanical buried point source. It is assumed that the halfspace behaves like a coupled thermoelastic solid, whereas the loading consists of a concentrated heat flux (thermal source) and a concentrated force (mechanical source) of arbitrary direction with respect to the half-space surface. Both thermal and mechanical sources are situated at the same point in the interior of the half-space. The problem aims at modeling both underground explosions and impulsively applied heat loadings near a boundary. In addition, the present solution provides the necessary Green's function which can be employed in the boundary element method for numerical treatment of more complicated transient thermoelastodynamic problems involving half-space geometries (e.g. domains with openings or contact problems). The situation studied here is the 3D analogue of a recent plane-strain problem considered by Georgiadis et al, (1999a). It can also be viewed as a generalization of the classical buried-force elastodynamic problem of Pekeris (1955) in the sense that more complicated material behavior and loading are considered. The associated initial/boundary value problem is treated via unilateral and double bilateral Laplace transforms, which suppress, respectively, the time variable and two of the space variables. A 12 x 12 system of linear equations arises in the multiple transform domain and its exact solution is obtained by employing MATHEMATICA (TM). From this solution, results for the vertical displacement at the surface due to a buried thermal source are obtained through numerical wave number integrations and numerical unilateral Laplace-transform inversions. (C) 2001 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(00)00311-5	en
dc.identifier.isi	ISI:000169103600005	en
dc.identifier.volume	38	en
dc.identifier.issue	28-29	en
dc.identifier.spage	4857	en
dc.identifier.epage	4878	en