### 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 language | English |
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Title of host publication | 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA) |

Editors | LN Polyakova |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 203-206 |

Number of pages | 4 |

ISBN (Electronic) | 978-1-5090-6260-7 |

Publication status | Published - 2017 |

Event | Conference on Constructive Nonsmooth Analysis and Related Topics (CNSA) - Saint Petersburg Duration: 22 May 2017 → 27 May 2017 |

### Conference

Conference | Conference on Constructive Nonsmooth Analysis and Related Topics (CNSA) |
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City | Saint Petersburg |

Period | 22/05/17 → 27/05/17 |

### Cite this

*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..

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*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.

Research output › › peer-review

TY - GEN

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.

ER -