Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 160, Pages 105–113 (Mi into429)  
Influence of a nonstationary surface load on elastic porous half-space

O. N. Peshcherikovaa, G. V. Fedotenkovab

a Moscow Aviation Institute (National Research University)
b Lomonosov Moscow State University, Institute of Mechanics
Full-text PDF (223 kB)
References:
PDF
HTML
Abstract: In this paper, we develop a method for solving planar nonstationary problems on the influence of a surface pressure on an elastic-porous half-space. Using surface influence functions, we obtain an integral relation, which expresses the desired displacements with the surface pressure. A numerical-analytical algorithm is constructed. For calculating singular integrals, we derive special quadrature formulas based on the canonical regularization of integrands.
Keywords: nonstationary problem, numerical-analytical algorithm, elastic porous medium, influence function, quadrature formula, singular integral, superposition principle.
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 74B99
Language: Russian
Citation: O. N. Peshcherikova, G. V. Fedotenkov, “Influence of a nonstationary surface load on elastic porous half-space”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160, VINITI, Moscow, 2019, 105–113
Citation in format AMSBIB
\Bibitem{PesFed19}
\by O.~N.~Peshcherikova, G.~V.~Fedotenkov
\paper Influence of a nonstationary surface load on elastic porous half-space
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17,
St. Petersburg Polytechnic University, July 24-28, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 160
\pages 105--113
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into429}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3981835}
Linking options:
  • https://www.mathnet.ru/eng/into429
  • https://www.mathnet.ru/eng/into/v160/p105
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024