Loading [MathJax]/jax/output/SVG/config.js
Sibirskii Zhurnal Industrial'noi Matematiki
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


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 1, Pages 70–87 (Mi sjim320)  
This article is cited in 5 scientific papers (total in 5 papers)

Cracks in piezoelectric and electroconductive bodies

A. A. Kulikova, S. A. Nazarovb

a Saint-Petersburg State University
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (324 kB) Citations (5)
References:
PDF
HTML
Abstract: Singularities are studied of the elastic and electric fields near a tip of a crack on the interface of two piezoelectric bodies. An analog of the Griffith formula is obtained for the increment of the potential energy of deformation due to development of a rectilinear crack. The external electrical forces result in the decrease of the energy release rate which explains an experimentally-known possibility of controlling the fracture process by some additional electric fields.
Received: 22.09.2004
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 201–216
DOI: https://doi.org/10.1134/S1990478907020111
Bibliographic databases:
UDC: 539.375
Language: Russian
Citation: A. A. Kulikov, S. A. Nazarov, “Cracks in piezoelectric and electroconductive bodies”, Sib. Zh. Ind. Mat., 8:1 (2005), 70–87; J. Appl. Industr. Math., 1:2 (2007), 201–216
Citation in format AMSBIB
\Bibitem{KulNaz05}
\by A.~A.~Kulikov, S.~A.~Nazarov
\paper Cracks in piezoelectric and electroconductive bodies
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 1
\pages 70--87
\mathnet{http://mi.mathnet.ru/sjim320}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2221671}
\elib{https://elibrary.ru/item.asp?id=13545342}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 201--216
\crossref{https://doi.org/10.1134/S1990478907020111}
Linking options:
  • https://www.mathnet.ru/eng/sjim320
  • https://www.mathnet.ru/eng/sjim/v8/i1/p70
    • This publication is cited in the following 5 articles:
    1. Ia. M. Pasternak, H. T. Sulym, N. І. Ilchuk, “Interaction of Physicomechanical Fields in Bodies with Thin Structural Inhomogeneities: A Survey”, J Math Sci, 253:1 (2021), 63  crossref
    2. Leugering G., Nazarov S.A., Taskinen J., “Umov-Poynting-Mandelstam Radiation Conditions in Periodic Composite Piezoelectric Waveguides”, Asymptotic Anal., 111:2 (2019), 69–111  crossref  mathscinet  zmath  isi  scopus
    3. Pasternak I.M., Sulym H.T., Pasternak R.M., “Studies on Stress State of Solids Made of Functional Structurally Inhomogeneous Materials: a Review of Publications Till 2010”, Opir Materialiv Teor. Sporud, 2015, no. 95, 35–80  isi
    4. Mueller R., Gross D., Rangelov T., Dineva P., “Dynamic fracture of piezoelectric solids with defects”, 11th International Conference on the Mechanical Behavior of Materials (ICM11), Procedia Engineering, 10, 2011  crossref  isi  scopus
    5. S. A. Nazarov, M. Specovius-Neugebauer, “Singularities at the tip of a crack on the interface of piezoelectric bodies”, J. Math. Sci. (N. Y.), 159:4 (2009), 524–540  mathnet  crossref  zmath  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:493
    Full-text PDF :139
    References:76
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025