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, 2007, Volume 48, Issue 6, Pages 103–114 (Mi pmtf2098)  
This article is cited in 3 scientific papers (total in 3 papers)

Eigenoscillations of an elastic body with a rough surface

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178
Full-text PDF (250 kB) Citations (3)
Abstract: Explicit presentations for the initial terms of the asymptotic solution of the spectral problem of the elasticity theory in a plane region with a rapidly oscillating boundary are obtained. Based on asymptotic formulas, two methods for problem modeling are proposed: with the use of Wenzel’s boundary conditions and with the use of the principle of a smooth image of a singularly perturbed boundary. Various approaches to justification of asymptotic presentations are discussed.
Keywords: anisotropic elastic body, fine-grain boundary, asymptotic presentations.
Received: 20.12.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 6, Pages 861–870
DOI: https://doi.org/10.1007/s10808-007-0110-z
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. A. Nazarov, “Eigenoscillations of an elastic body with a rough surface”, Prikl. Mekh. Tekh. Fiz., 48:6 (2007), 103–114; J. Appl. Mech. Tech. Phys., 48:6 (2007), 861–870
Citation in format AMSBIB
\Bibitem{Naz07}
\by S.~A.~Nazarov
\paper Eigenoscillations of an elastic body with a rough surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 6
\pages 103--114
\mathnet{http://mi.mathnet.ru/pmtf2098}
\elib{https://elibrary.ru/item.asp?id=17425765}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 6
\pages 861--870
\crossref{https://doi.org/10.1007/s10808-007-0110-z}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2098
  • https://www.mathnet.ru/eng/pmtf/v48/i6/p103
    • This publication is cited in the following 3 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
    Statistics & downloads:
    Abstract page:37
    Full-text PDF :19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024