Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2018, Volume 14, Number 3, Pages 331–342
DOI: https://doi.org/10.20537/nd180304 (Mi nd616) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Evolution of Pulse and Periodic Elastic Waves in Media with Quadratically-Bimodular Nonlinearity

V. E. Nazarov, S. B. Kiyashko

Institute of Applied Physics RAS, ul. Ulyanova 46, Nizhniy Novgorod, 603950, Russia
Full-text PDF (293 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd180304
Abstract: On the basis of the elastic contact model of rough surfaces of solids, a quadraticallybimodular equation of state for micro-inhomogeneous media containing cracks is derived. A study is made of the propagation of elastic single unipolar pulse perturbations and bipolar periodic waves in such media. Exact analytical solutions that describe the evolution of initially triangular pulses and periodic sawtooth waves are obtained. A numerical and graphical analysis of the solutions is also carried out.
Keywords: elastic contact, quadratically-bimodular nonlinearity, pulse perturbation, periodic waves.
Received: 20.03.2018
Accepted: 28.06.2018
Bibliographic databases:
Document Type: Article
MSC: 39A21, 74J30
Language: English
Citation: V. E. Nazarov, S. B. Kiyashko, “Evolution of Pulse and Periodic Elastic Waves in Media with Quadratically-Bimodular Nonlinearity”, Nelin. Dinam., 14:3 (2018), 331–342
Citation in format AMSBIB
\Bibitem{NazKiy18}
\by V. E. Nazarov, S. B. Kiyashko
\paper Evolution of Pulse and Periodic Elastic Waves in Media with Quadratically-Bimodular Nonlinearity
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 3
\pages 331--342
\mathnet{http://mi.mathnet.ru/nd616}
\crossref{https://doi.org/10.20537/nd180304}
\elib{https://elibrary.ru/item.asp?id=36296373}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056265847}
Linking options:
  • https://www.mathnet.ru/eng/nd616
  • https://www.mathnet.ru/eng/nd/v14/i3/p331
    • 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
    		Нелинейная динамика
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024