Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2017, Volume 21, Number 2, Pages 308–325
DOI: https://doi.org/10.14498/vsgtu1542 (Mi vsgtu1542) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics of Solids

On the method of orthogonal projections in the theory of elasticity

V. V. Struzhanov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russian Federation
Full-text PDF (698 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu1542
Abstract: The method of orthogonal projections applied to the task of determining the stresses in the elastic deformable bodies, which allowed us to relax the requirements to the smoothness of the functions defining external forces and to the components of the tensor of the initial strains, which cause the appearance of balanced self-stresses. Examples of the calculation of quench stresses in a circular cylinder and residual stresses after shrinkage of the binder in composite cylinders made by winding are given.
Keywords: energy Hilbert subspaces, orthogonal spaces, orthonormal system, orthoprojector, residual stresses.
Received: April 12, 2017
Revised: June 9, 2017
Accepted: June 12, 2017
First online: July 10, 2017
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: 74B10
Language: Russian
Citation: V. V. Struzhanov, “On the method of orthogonal projections in the theory of elasticity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:2 (2017), 308–325
Citation in format AMSBIB
\Bibitem{Str17}
\by V.~V.~Struzhanov
\paper On the method of orthogonal projections in the theory of elasticity
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 2
\pages 308--325
\mathnet{http://mi.mathnet.ru/vsgtu1542}
\crossref{https://doi.org/10.14498/vsgtu1542}
\zmath{https://zbmath.org/?q=an:06964676}
\elib{https://elibrary.ru/item.asp?id=30039931}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1542
  • https://www.mathnet.ru/eng/vsgtu/v221/i2/p308
    • This publication is cited in the following 1 articles:
    1. V. V. Struzhanov, “On one inverse problem in the theory of eigenstresses”, Mechanics, Resource and Diagnostics of Materials and Structures (Mrdms-2019), AIP Conf. Proc., 2176, ed. E. Gorkunov, V. Panin, S. Ramasubbu, Amer. Inst. Phys., 2019, 040015  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:476
    Full-text PDF :234
    References:89
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025