Improper Double Integrals with a Logarithmic Kernel Calculated by Methods of Elasticity Theory

dc.contributor.author	Skvortsov E.
dc.contributor.author	Nikonenkova T.
dc.date.accessioned	2020-01-15T21:45:45Z
dc.date.available	2020-01-15T21:45:45Z
dc.date.issued	2019
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/155717
dc.description.abstract	© 2019, Allerton Press, Inc. The aim of this paper is to calculate some improper double integrals. We consider the plane deformation of an elastic half-space under the action of load applied to its surface. It is shown that a well-known expressions for one of the normal stresses can be represented in another form containing an improper triple integral with a logarithmic kernel. We give examples of calculating the triple integral for specific loads. As a result, we give the values of five improper double integrals expressed in terms of elementary functions.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	boundary-value problem
dc.subject	improper double integral
dc.subject	Poisson equation
dc.title	Improper Double Integrals with a Logarithmic Kernel Calculated by Methods of Elasticity Theory
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	63
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	56
dc.source.id	SCOPUS1066369X-2019-63-7-SID85070973449

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.