Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 7, Pages 1351–1362
DOI: https://doi.org/10.7868/S0044466916070048 (Mi zvmmf10421) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Transport solutions of the Lamé equations and shock elastic waves

L. A. Alexeyeva, G. K. Kaishibaeva

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science of the Republic of Kazakhstan, ul. Pushkina 125, Almaty, 050010, Kazakhstan
Full-text PDF (631 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466916070048
Abstract: The Lamé system describing the dynamics of an isotropic elastic medium affected by a steady transport load moving at subsonic, transonic, or supersonic speed is considered. Its fundamental and generalized solutions in a moving frame of reference tied to the transport load are analyzed. Shock waves arising in the medium at supersonic speeds are studied. Conditions on the jump in the stress, displacement rate, and energy across the shock front are obtained using distribution theory. Numerical results concerning the dynamics of an elastic medium influenced by concentrated transport loads moving at sub-, tran- and supersonic speeds are presented.
Key words: elastic medium, Lamé equations, transport loading, Green's tensor, generalized solution, shock wave.
Received: 12.05.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 7, Pages 1343–1354
DOI: https://doi.org/10.1134/S0965542516070046
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: L. A. Alexeyeva, G. K. Kaishibaeva, “Transport solutions of the Lamé equations and shock elastic waves”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1351–1362; Comput. Math. Math. Phys., 56:7 (2016), 1343–1354
Citation in format AMSBIB
\Bibitem{AleKai16}
\by L.~A.~Alexeyeva, G.~K.~Kaishibaeva
\paper Transport solutions of the Lam\'e equations and shock elastic waves
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 7
\pages 1351--1362
\mathnet{http://mi.mathnet.ru/zvmmf10421}
\crossref{https://doi.org/10.7868/S0044466916070048}
\elib{https://elibrary.ru/item.asp?id=26302243}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 7
\pages 1343--1354
\crossref{https://doi.org/10.1134/S0965542516070046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000381223400012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84979755860}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10421
  • https://www.mathnet.ru/eng/zvmmf/v56/i7/p1351
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024