Divergent Integrals in Elastostatics: Regularization in 3-D Case

In this article the divergent integrals, which arise when the boundary integral equation (BIE) methods are used for solution of the 3-D elastostatic problems is considered. The same approach for weakly singular, singular and hypersingular integral regularization is developed. The approach is based o...

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Detalles Bibliográficos
Autor: VOLODYMYR ZOZULYA
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:México
Institución:Centro de Investigación Científica de Yucatán
Repositorio:Repositorio Institucional CICY
Idioma:inglés
OAI Identifier:oai:cicy.repositorioinstitucional.mx:1003/201
Acceso en línea:http://cicy.repositorioinstitucional.mx/jspui/handle/1003/201
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/cti/7
info:eu-repo/classification/cti/33
info:eu-repo/classification/cti/3312
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spelling Divergent Integrals in Elastostatics: Regularization in 3-D CaseVOLODYMYR ZOZULYAinfo:eu-repo/classification/cti/7info:eu-repo/classification/cti/33info:eu-repo/classification/cti/3312info:eu-repo/classification/cti/3312In this article the divergent integrals, which arise when the boundary integral equation (BIE) methods are used for solution of the 3-D elastostatic problems is considered. The same approach for weakly singular, singular and hypersingular integral regularization is developed. The approach is based on theory of distribution and Green’s theorems. This approach is applied for regularization of the divergent integrals over convex polygonal boundary elements (BE) in the case of piecewise constant approximation and over rectangular and triangular BE for piecewise linear approximation. The divergent integrals are transformed into the regular contour integrals that can be easily calculated analytically. Proposed methodology easy can be extended to other problems: elastodynamics, analytical calculation of the regular integrals, when collocation point situated outside the BE. Calculations of the divergent and regular integrals for square and triangle of the unit side are presented2010-12-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://cicy.repositorioinstitucional.mx/jspui/handle/1003/201reponame:Repositorio Institucional CICYinstname:Centro de Investigación Científica de Yucatáninstacron:CICYenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:cicy.repositorioinstitucional.mx:1003/2012024-08-28T03:18:25Z
dc.title.none.fl_str_mv Divergent Integrals in Elastostatics: Regularization in 3-D Case
title Divergent Integrals in Elastostatics: Regularization in 3-D Case
spellingShingle Divergent Integrals in Elastostatics: Regularization in 3-D Case
VOLODYMYR ZOZULYA
info:eu-repo/classification/cti/7
info:eu-repo/classification/cti/33
info:eu-repo/classification/cti/3312
info:eu-repo/classification/cti/3312
title_short Divergent Integrals in Elastostatics: Regularization in 3-D Case
title_full Divergent Integrals in Elastostatics: Regularization in 3-D Case
title_fullStr Divergent Integrals in Elastostatics: Regularization in 3-D Case
title_full_unstemmed Divergent Integrals in Elastostatics: Regularization in 3-D Case
title_sort Divergent Integrals in Elastostatics: Regularization in 3-D Case
dc.creator.none.fl_str_mv VOLODYMYR ZOZULYA
author VOLODYMYR ZOZULYA
author_facet VOLODYMYR ZOZULYA
author_role author
dc.subject.none.fl_str_mv info:eu-repo/classification/cti/7
info:eu-repo/classification/cti/33
info:eu-repo/classification/cti/3312
info:eu-repo/classification/cti/3312
topic info:eu-repo/classification/cti/7
info:eu-repo/classification/cti/33
info:eu-repo/classification/cti/3312
info:eu-repo/classification/cti/3312
description In this article the divergent integrals, which arise when the boundary integral equation (BIE) methods are used for solution of the 3-D elastostatic problems is considered. The same approach for weakly singular, singular and hypersingular integral regularization is developed. The approach is based on theory of distribution and Green’s theorems. This approach is applied for regularization of the divergent integrals over convex polygonal boundary elements (BE) in the case of piecewise constant approximation and over rectangular and triangular BE for piecewise linear approximation. The divergent integrals are transformed into the regular contour integrals that can be easily calculated analytically. Proposed methodology easy can be extended to other problems: elastodynamics, analytical calculation of the regular integrals, when collocation point situated outside the BE. Calculations of the divergent and regular integrals for square and triangle of the unit side are presented
publishDate 2010
dc.date.none.fl_str_mv 2010-12-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://cicy.repositorioinstitucional.mx/jspui/handle/1003/201
url http://cicy.repositorioinstitucional.mx/jspui/handle/1003/201
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositorio Institucional CICY
instname:Centro de Investigación Científica de Yucatán
instacron:CICY
instname_str Centro de Investigación Científica de Yucatán
instacron_str CICY
institution CICY
reponame_str Repositorio Institucional CICY
collection Repositorio Institucional CICY
repository.name.fl_str_mv
repository.mail.fl_str_mv
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