Thermoelastodynamic disturbances in a half-space under the action of a buried thermal/mechanical line source

Georgiadis, HG; Rigatos, AP; Brock, LM

dc.contributor.author	Georgiadis, HG	en
dc.contributor.author	Rigatos, AP	en
dc.contributor.author	Brock, LM	en
dc.date.accessioned	2014-03-01T01:15:20Z
dc.date.available	2014-03-01T01:15:20Z
dc.date.issued	1999	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13438
dc.subject	Boundary Element Method	en
dc.subject	Contour Integration	en
dc.subject	Exact Solution	en
dc.subject	Initial Boundary Value Problem	en
dc.subject	Laplace Transform	en
dc.subject	Linear Equations	en
dc.subject	Transient Dynamics	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Dynamic response	en
dc.subject.other	Dynamics	en
dc.subject.other	Inverse problems	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical models	en
dc.subject.other	Problem solving	en
dc.subject.other	Thermal load	en
dc.subject.other	Underground explosions	en
dc.subject.other	Biot thermoelasticity theory	en
dc.subject.other	Mechanical line source	en
dc.subject.other	Thermal line source	en
dc.subject.other	Thermoelastodynamic disturbances	en
dc.subject.other	Thermoelasticity	en
dc.title	Thermoelastodynamic disturbances in a half-space under the action of a buried thermal/mechanical line source	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(98)00168-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(98)00168-1	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The transient dynamic coupled-thermoelasticity problem of a half-space under the action of a buried thermal/mechanical source is analyzed here. This situation aims primarily at modeling underground explosions and impulsively applied heat loadings near a boundary. Also, the present basic analysis may yield the necessary field quantities required to apply the Boundary Element Method in more complicated thermoelastodynamic problems involving half-plane domains. A material response for the half-space predicted by Blot's thermoelasticity theory is assumed in an effort to give a formulation of the problem as general as possible (within the confines of a linear theory). The loading consists of a concentrated thermal source and a concentrated force (mechanical source) having arbitrary direction with respect to the halfplane surface. Both thermal and mechanical line sources are situated at the same location ina fixed distance from the surface. Plane-strain conditions are assumed tb prevail. Our problem can be viewed as a generalization of the classical Nakano-Lapwood-Garvin problem and its recent versions due to Payton (1968) and Tsai and Ma (1991). The initial/boundary; value problem is attacked with one- and two-sided Laplace transforms to suppress, respectively, the time variable and the horizontal space variable. A 9 x 9 system of linear equations arises in the double transformed domain and its exact solution is obtained by employing a program of symbolic manipulations. From this solution the two-si;led Laplace transform inversion is then obtained exactly through contour integration. The one-sided Laplace transform inversion for the vertical displacement at the surface is obtained here asymptotically for long times and numerically for short times, (C) 1999 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(98)00168-1	en
dc.identifier.isi	ISI:000079936500005	en
dc.identifier.volume	36	en
dc.identifier.issue	24	en
dc.identifier.spage	3639	en
dc.identifier.epage	3660	en