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New boundary element methods for sol...

Vijayakumar, Sinnathurai.

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New boundary element methods for solid mechanics: Integration methodology and new Green's functions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	New boundary element methods for solid mechanics: Integration methodology and new Green's functions./
Author:	Vijayakumar, Sinnathurai.
Description:	162 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-10, Section: B, page: 5487.
Contained By:	Dissertation Abstracts International66-10B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=NR07584
ISBN:	9780494075845

New boundary element methods for solid mechanics: Integration methodology and new Green's functions.
Vijayakumar, Sinnathurai.

New boundary element methods for solid mechanics: Integration methodology and new Green's functions. - 162 p.

Source: Dissertation Abstracts International, Volume: 66-10, Section: B, page: 5487.

Thesis (Ph.D.)--University of Toronto (Canada), 2005.

The ideas presented in this thesis are directed towards widening the scope and improving computational efficiency of the boundary element and the related displacement discontinuity methods applied to linear elasticity.

ISBN: 9780494075845Subjects--Topical Terms:

1018410
Applied Mechanics.

New boundary element methods for solid mechanics: Integration methodology and new Green's functions.
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008 130610s2005 eng d
020 $a 9780494075845
035 $a (UnM)AAINR07584
035 $a AAINR07584
040 $a UnM $c UnM
100 1 $a Vijayakumar, Sinnathurai. $3 1913959
245 1 0 $a New boundary element methods for solid mechanics: Integration methodology and new Green's functions.
300 $a 162 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-10, Section: B, page: 5487.
502 $a Thesis (Ph.D.)--University of Toronto (Canada), 2005.
520 $a The ideas presented in this thesis are directed towards widening the scope and improving computational efficiency of the boundary element and the related displacement discontinuity methods applied to linear elasticity.
520 $a In the first part of the thesis, a comprehensive and unified method to obtain Green's functions is developed using the method of images. The application of the method of images has one additional complexity. The boundary value problem is governed by the biharmonic equation, which is a higher order equation than the Laplace equation that governs simple heat conduction. In the Galerkin vector formulation, the Green's functions are vector valued, in contrast to the scalar valued Green's functions used with the Laplace equation. Green's functions are developed for perfectly and bonded bi-materials and that with sliding interface.
520 $a In the second part of the thesis, an efficient integration methodology is developed for the evaluation of singular and near singular integrals. Singular integrals arising in the boundary element methods are often counter intuitive and their computation is slow and inaccurate using the classical quadrature methods. The singular integrals arise in the cases where the integration is done in the calculation of self influence.
520 $a In the third part of the thesis, a computational framework, the node-centric method, which uses the new integration methodology, is introduced.
590 $a School code: 0779.
650 4 $a Applied Mechanics. $3 1018410
690 $a 0346
710 2 0 $a University of Toronto (Canada). $3 1017674
773 0 $t Dissertation Abstracts International $g 66-10B.
790 $a 0779
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=NR07584