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Buckling of Non-isotropic Plates with Cut-Outs

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Book cover Numerical Analysis and Its Applications (NAA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8236))

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Abstract

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.

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References

  1. Alfutov, N.A.: Fundamentals of buckling analysis of elastic systems. Machinostroyenie, Russia (1991) ) (in Russian)

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  2. Preobrazhensky, I.N.: Buckling and vibrations of plates and shells with the holes. Machinostroyenie, Russia (1981) (in Russian )

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  3. Ko, W.L.: Mechanical- and thermal-buckling behavior of rectangular plates with different central cutouts. Nasa report, Dryden Flight Research Center (1998)

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  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)

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  5. Lebedev, A.V.: Buckling of plates weakened by cut-outs. Vestnik St. Petersburg University 1(2), 94–99 (2009)

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  6. Chizhevsky, C.G.: Analysis of circular and annular plates. Machinostroyenie, Russia (1977) (in Russian)

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Author information

Authors and Affiliations

  1. Mathematics and Mechanics Faculty, St. Petersburg State University, Universitetsky Prospekt, 28, 198504, St. Petersburg, Russia

    Alexandr V. Lebedev & Andrei L. Smirnov

Authors
  1. Alexandr V. Lebedev
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  2. Andrei L. Smirnov
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Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technlogies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl25A, 1113, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Pázm\’{a}ny P\’{e}ter s\’{e}t\’{a}ny 1/C,, Eötvös Loránd University, 1117, Budapest, Hungary

    István Faragó

  3. University of Rousse, 8 Studentska Str.,, 7017, Rousse, Bulgaria

    Lubin Vulkov

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Lebedev, A.V., Smirnov, A.L. (2013). Buckling of Non-isotropic Plates with Cut-Outs. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_43

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  • DOI: https://doi.org/10.1007/978-3-642-41515-9_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41514-2

  • Online ISBN: 978-3-642-41515-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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