Prikladnaya Mekhanika i Tekhnicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Prikl. Mekh. Tekh. Fiz.:
Year:
Volume:
Issue:
Page:
Find






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


Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 5, Pages 5–14
DOI: https://doi.org/10.15372/PMTF20160501
(Mi pmtf785)
 

This article is cited in 18 scientific papers (total in 18 papers)

Nonclassical models of the theory of plates and shells

B. D. Anninab, Yu. M. Volchkovab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Abstract: Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the three-dimensional elasticity theory in terms of the full system of functions. Papers where a three-dimensional problem is reduced to a two-dimensional problem with the use of several approximations of each sought function (stresses and displacements) by segments of the Legendre polynomials are also reviewed.
Keywords: equations of the theory of shells, layered and composite shells, contact problems, Legendre polynomials.
Received: 21.09.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 5, Pages 769–776
DOI: https://doi.org/10.1134/S0021894416050011
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: B. D. Annin, Yu. M. Volchkov, “Nonclassical models of the theory of plates and shells”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 5–14; J. Appl. Mech. Tech. Phys., 57:5 (2016), 769–776
Citation in format AMSBIB
\Bibitem{AnnVol16}
\by B.~D.~Annin, Yu.~M.~Volchkov
\paper Nonclassical models of the theory of plates and shells
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 5
\pages 5--14
\mathnet{http://mi.mathnet.ru/pmtf785}
\crossref{https://doi.org/10.15372/PMTF20160501}
\elib{https://elibrary.ru/item.asp?id=27178514}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 5
\pages 769--776
\crossref{https://doi.org/10.1134/S0021894416050011}
Linking options:
  • https://www.mathnet.ru/eng/pmtf785
  • https://www.mathnet.ru/eng/pmtf/v57/i5/p5
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024