Two dimensional transient fundamental solution due to suddenly applied load in a half-space

Guan, F; Moore, ID; Spyrakos, CC

dc.contributor.author	Guan, F	en
dc.contributor.author	Moore, ID	en
dc.contributor.author	Spyrakos, CC	en
dc.date.accessioned	2014-03-01T01:14:15Z
dc.date.available	2014-03-01T01:14:15Z
dc.date.issued	1998	en
dc.identifier.issn	0267-7261	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12960
dc.subject	Boundary Element	en
dc.subject	Contour Integration	en
dc.subject	Finite Element	en
dc.subject	Free Surface	en
dc.subject	Fundamental Solution	en
dc.subject	Green Function	en
dc.subject	Inverse Laplace Transform	en
dc.subject	Wave Propagation	en
dc.subject	Fourier Transform	en
dc.subject.classification	Engineering, Geological	en
dc.subject.classification	Geosciences, Multidisciplinary	en
dc.subject.other	bioengineering	en
dc.subject.other	fourier transformation	en
dc.subject.other	laplace transform	en
dc.subject.other	propagation	en
dc.subject.other	Boundary element method	en
dc.subject.other	Finite element method	en
dc.subject.other	Fourier transforms	en
dc.subject.other	Integral equations	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Problem solving	en
dc.subject.other	Wave propagation	en
dc.subject.other	Inverse transforms	en
dc.subject.other	Green's function	en
dc.subject.other	dynamic response	en
dc.subject.other	half space	en
dc.subject.other	loading	en
dc.subject.other	wave propagation	en
dc.title	Two dimensional transient fundamental solution due to suddenly applied load in a half-space	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0267-7261(97)00037-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0267-7261(97)00037-7	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A transient Green function due to suddenly applied line loads in an isotropic and homogeneous half-space is reported in this paper. The derivation of the half-space Green function in the Laplace and the Fourier transform spaces is first reviewed. Following an explicit inversion of the Fourier transform, the inverse Laplace transform is implemented along the contour integral on the p-complex plane in an integral form. The half-space Green function consists of full-space Green functions and a singularity-free complementary term. It can be easily incorporated into current transient boundary elements using the transient full-space Green function. Combined with finite elements, the half-space Green function can be used in a hybrid procedure to solve transient half-space problems without discretization of the free surface. Numerical results are presented to illustrate transient wave propagation in a halfspace. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Soil Dynamics and Earthquake Engineering	en
dc.identifier.doi	10.1016/S0267-7261(97)00037-7	en
dc.identifier.isi	ISI:000074340800006	en
dc.identifier.volume	17	en
dc.identifier.issue	4	en
dc.identifier.spage	269	en
dc.identifier.epage	277	en