Sibirskii Zhurnal Industrial'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sib. Zh. Ind. Mat., 2012, Volume 15, Number 1, Pages 138–144 (Mi sjim718)  

This article is cited in 2 scientific papers (total in 2 papers)

The determination of the deformation diagram of a material with a falling branch using the torsion diagram of a cylindrical sample

V. V. Struzhanov

Institute of Machine Engineering UB RAS, Ekaterinburg, RUSSIA

Abstract: We present a method for constructing the deformation diagram of a material with a falling branch purely shearing along the torsion diagram of a solid cylindrical sample. The problem reduces to a Volterra integral equation of the first kind, and so it belongs to the class of ill-posed problems arising in attempts to determine physical quantities using measurement results. We show that for an arbitrary torsion diagram the solution to the Volterra equation leads to a sawtooth-shaped broken line in the diagram of the material. We regularize the solution using a trial-and-error method, which yields satisfactory results.

Keywords: pure shear diagram, falling branch, torsion diagram, Volterra equation of the first kind, trial-and-error method, regularization.

Full text: PDF file (590 kB)
References: PDF file   HTML file
UDC: 539.3
Received: 25.03.2011

Citation: V. V. Struzhanov, “The determination of the deformation diagram of a material with a falling branch using the torsion diagram of a cylindrical sample”, Sib. Zh. Ind. Mat., 15:1 (2012), 138–144

Citation in format AMSBIB
\Bibitem{Str12}
\by V.~V.~Struzhanov
\paper The determination of the deformation diagram of a~material with a~falling branch using the torsion diagram of a~cylindrical sample
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 1
\pages 138--144
\mathnet{http://mi.mathnet.ru/sjim718}


Linking options:
  • http://mi.mathnet.ru/eng/sjim718
  • http://mi.mathnet.ru/eng/sjim/v15/i1/p138

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Struzhanov, A. V. Korkin, A. E. Chaikin, “Ob odnom podkhode k opredeleniyu predelnoi nesuschei sposobnosti mekhanicheskikh sistem s razuprochnyayuschimisya elementami”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 22:4 (2018), 762–773  mathnet  crossref  elib
    2. A. Yu. Burtsev, V. V. Glagolev, A. A. Markin, “Issledovanie protsessa lokalnoi razgruzki elementa v konechnoelementnom kontinuume”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2021, no. 69, 86–96  mathnet  crossref
  • Сибирский журнал индустриальной математики
    Number of views:
    This page:402
    Full text:74
    References:59
    First page:15

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021