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Analysis of Shells, Plates, and Beams pp 171–184Cite as

Development of a Method for Determining One of the Additional Elastic Moduli of Curvilinear Rods

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 134))

Abstract

In this paper we suggest a method for determining one of the additional elastic moduli in curvilinear rod theory. The method is based on the comparison of the analytical solution of the problem of static curvilinear rod bending with the numerical solution of the corresponding 3D problem. The method can be used for rods with any section shape and any microstructure.

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Author information

Authors and Affiliations

  1. Higher School of Theoretical Mechanics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29, 195251, Saint-Petersburg, Russia

    Elena A. Ivanova & Valentina A. Timoshenko

  2. Institute for Problems in Mechanical Engineering of Russian Academy of Sciences, Bolshoy pr. V.O., 61, 199178, Saint-Petersburg, Russia

    Elena A. Ivanova

Authors
  1. Elena A. Ivanova
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  2. Valentina A. Timoshenko
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Corresponding author

Correspondence to Elena A. Ivanova .

Editor information

Editors and Affiliations

  1. Chair of Engineering Mechanics, Faculty of Mechanical Engineering, Institute of Mechanics, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Institute of Applied Mathematics, Tbilisi State University, Tbilisi, Georgia

    Natalia Chinchaladze

  3. FB 4 / FG 15 / IW 3, Universität Bremen, Bremen, Germany

    Reinhold Kienzler

  4. Institut für Mechanik, MS2, TU Berlin, Berlin, Berlin, Germany

    Wolfgang H. Müller

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Ivanova, E.A., Timoshenko, V.A. (2020). Development of a Method for Determining One of the Additional Elastic Moduli of Curvilinear Rods. In: Altenbach, H., Chinchaladze, N., Kienzler, R., Müller, W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_10

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  • DOI: https://doi.org/10.1007/978-3-030-47491-1_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47490-4

  • Online ISBN: 978-3-030-47491-1

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