Buckling of Non-isotropic Plates with Cut-Outs

  • Alexandr V. Lebedev
  • Andrei L. Smirnov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)


To consider the buckling of non-homogeneous elastic thin structures weakened by holes, we analyze the effect of the area of rectangular or circular holes on a critical buckling load under compression of rectangular or circular plates made of isotropic, orthotropic or transversally isotropic materials.


Non-isotropic plate buckling non-homogeneous plate buckling 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Alfutov, N.A.: Fundamentals of buckling analysis of elastic systems. Machinostroyenie, Russia (1991) ) (in Russian) Google Scholar
  2. 2.
    Preobrazhensky, I.N.: Buckling and vibrations of plates and shells with the holes. Machinostroyenie, Russia (1981) (in Russian )Google Scholar
  3. 3.
    Ko, W.L.: Mechanical- and thermal-buckling behavior of rectangular plates with different central cutouts. Nasa report, Dryden Flight Research Center (1998)Google Scholar
  4. 4.
    Lebedev, A.V.: Effects of the cut-outs on buckling of rectangular elastic plates under axial compression. Vestnik St. Petersburg University 1(4), 77–83 (2009)Google Scholar
  5. 5.
    Lebedev, A.V.: Buckling of plates weakened by cut-outs. Vestnik St. Petersburg University 1(2), 94–99 (2009)Google Scholar
  6. 6.
    Chizhevsky, C.G.: Analysis of circular and annular plates. Machinostroyenie, Russia (1977) (in Russian)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Alexandr V. Lebedev
    • 1
  • Andrei L. Smirnov
    • 1
  1. 1.Mathematics and Mechanics FacultySt. Petersburg State UniversitySt. PetersburgRussia

Personalised recommendations