Analysis of Elastic Systems With Nonsmooth Boundaries

Переведенное название: Расчет упругих систем с негладкими границами

Alexander V. Matrosov, Dmitriy P. Goloskokov

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаАнглийский
Название основной публикации2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA)
РедакторыLN Polyakova
ИздательInstitute of Electrical and Electronics Engineers Inc.
Страницы203-206
Число страниц4
ISBN (электронное издание)978-1-5090-6260-7
СостояниеОпубликовано - 2017
СобытиеConference on Constructive Nonsmooth Analysis and Related Topics (CNSA) - Saint Petersburg
Продолжительность: 22 мая 201727 мая 2017

Конференция

КонференцияConference on Constructive Nonsmooth Analysis and Related Topics (CNSA)
ГородSaint Petersburg
Период22/05/1727/05/17

Цитировать

Matrosov, A. V., & Goloskokov, D. P. (2017). Analysis of Elastic Systems With Nonsmooth Boundaries. В LN. Polyakova (Ред.), 2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA) (стр. 203-206). [7973987] Institute of Electrical and Electronics Engineers Inc..