Analysis of Elastic Systems With Nonsmooth Boundaries

Alexander V. Matrosov, Dmitriy P. Goloskokov

Research outputpeer-review

1 Citation (Scopus)

Abstract

Often, for the construction of approximate analytical solutions for the components of the stress-strain state (SSS) of an elastic body, series on various systems of functions including trigonometric ones are used. They converge rapidly at the interior points of the elastic body while in the neighborhood of the boundary the rate of their convergence may decrease, and especially at singular points of the boundary, for example, at the corner points. In the paper the rate of convergence of the series in two general solutions for an elastic isotropic rectangle at the corner point is considered. Two solutions are built on the basis of two different continuations of the solution beyond the boundaries of the body: an even and an odd one.

Original languageEnglish
Title of host publication2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA)
EditorsLN Polyakova
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages203-206
Number of pages4
ISBN (Electronic)978-1-5090-6260-7
Publication statusPublished - 2017
EventConference on Constructive Nonsmooth Analysis and Related Topics (CNSA) - Saint Petersburg
Duration: 22 May 201727 May 2017

Conference

ConferenceConference on Constructive Nonsmooth Analysis and Related Topics (CNSA)
CitySaint Petersburg
Period22/05/1727/05/17

Cite this

Matrosov, A. V., & Goloskokov, D. P. (2017). Analysis of Elastic Systems With Nonsmooth Boundaries. In LN. Polyakova (Ed.), 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA) (pp. 203-206). [7973987] Institute of Electrical and Electronics Engineers Inc..
Matrosov, Alexander V. ; Goloskokov, Dmitriy P. / Analysis of Elastic Systems With Nonsmooth Boundaries. 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA). editor / LN Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 203-206
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title = "Analysis of Elastic Systems With Nonsmooth Boundaries",
abstract = "Often, for the construction of approximate analytical solutions for the components of the stress-strain state (SSS) of an elastic body, series on various systems of functions including trigonometric ones are used. They converge rapidly at the interior points of the elastic body while in the neighborhood of the boundary the rate of their convergence may decrease, and especially at singular points of the boundary, for example, at the corner points. In the paper the rate of convergence of the series in two general solutions for an elastic isotropic rectangle at the corner point is considered. Two solutions are built on the basis of two different continuations of the solution beyond the boundaries of the body: an even and an odd one.",
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Matrosov, AV & Goloskokov, DP 2017, Analysis of Elastic Systems With Nonsmooth Boundaries. in LN Polyakova (ed.), 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA)., 7973987, Institute of Electrical and Electronics Engineers Inc., pp. 203-206, Saint Petersburg, 22/05/17.

Analysis of Elastic Systems With Nonsmooth Boundaries. / Matrosov, Alexander V.; Goloskokov, Dmitriy P.

2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA). ed. / LN Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. p. 203-206 7973987.

Research outputpeer-review

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T1 - Analysis of Elastic Systems With Nonsmooth Boundaries

AU - Matrosov, Alexander V.

AU - Goloskokov, Dmitriy P.

PY - 2017

Y1 - 2017

N2 - Often, for the construction of approximate analytical solutions for the components of the stress-strain state (SSS) of an elastic body, series on various systems of functions including trigonometric ones are used. They converge rapidly at the interior points of the elastic body while in the neighborhood of the boundary the rate of their convergence may decrease, and especially at singular points of the boundary, for example, at the corner points. In the paper the rate of convergence of the series in two general solutions for an elastic isotropic rectangle at the corner point is considered. Two solutions are built on the basis of two different continuations of the solution beyond the boundaries of the body: an even and an odd one.

AB - Often, for the construction of approximate analytical solutions for the components of the stress-strain state (SSS) of an elastic body, series on various systems of functions including trigonometric ones are used. They converge rapidly at the interior points of the elastic body while in the neighborhood of the boundary the rate of their convergence may decrease, and especially at singular points of the boundary, for example, at the corner points. In the paper the rate of convergence of the series in two general solutions for an elastic isotropic rectangle at the corner point is considered. Two solutions are built on the basis of two different continuations of the solution beyond the boundaries of the body: an even and an odd one.

KW - EXPANSIONS

M3 - статья в сборнике материалов конференции

SP - 203

EP - 206

BT - 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA)

A2 - Polyakova, LN

PB - Institute of Electrical and Electronics Engineers Inc.

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Matrosov AV, Goloskokov DP. Analysis of Elastic Systems With Nonsmooth Boundaries. In Polyakova LN, editor, 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA). Institute of Electrical and Electronics Engineers Inc. 2017. p. 203-206. 7973987