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, 1999, Volume 40, Issue 2, Pages 196–203 (Mi pmtf3070)  

Ellipticity conditions of the static equations of nonlinear elasticity

V. D. Bondar'

Novosibirsk State University, Novosibirsk 630090
Abstract: The relations of the nonlinear model of the theory of elasticity are considered. The Cauchy and the strain gradient tensors are taken to be the characteristics of the stress-strain state of a body. Sufficient conditions under which the static equations of elasticity are of elliptic type are established. These conditions are expressed in the form of constraints imposed on the derivatives of the elastic potential with respect to the strain-measure characteristics. The cases of anisotropic and isotropic bodies are treated, including the case where the Almansi tensor is taken to be the strain measure. The plane strain of a body is investigated using actual-state variables.
Received: 29.06.1998
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 2, Pages 360–366
DOI: https://doi.org/10.1007/BF02468535
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. D. Bondar', “Ellipticity conditions of the static equations of nonlinear elasticity”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 196–203; J. Appl. Mech. Tech. Phys., 40:2 (1999), 360–366
Citation in format AMSBIB
\Bibitem{Bon99}
\by V.~D.~Bondar'
\paper Ellipticity conditions of the static equations of nonlinear elasticity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 196--203
\mathnet{http://mi.mathnet.ru/pmtf3070}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 360--366
\crossref{https://doi.org/10.1007/BF02468535}
Linking options:
  • https://www.mathnet.ru/eng/pmtf3070
  • https://www.mathnet.ru/eng/pmtf/v40/i2/p196
  • 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:28
    Full-text PDF :14
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024