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Dynamical Processes in Generalized Continua and Structures pp 449–463Cite as

Applied Theory of Dynamics of Micropolar Elastic Thin Shells and Variation Principles

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 103))

Abstract

Micropolar elastic thin shells are complex dynamic systems. To study the dynamic phenomena in these systems, the problem of construction of the applied theory becomes of actual importance. This will enable to adequately describe all the characteristic features of the deformation. To describe the dynamic deformation of micropolar elastic thin shell, starting from the three-dimensional equations of the dynamic theory, a mathematical model based on hypotheses will be constructed in this paper. These hypotheses adequately replace the basic qualitative properties of the asymptotic solution of the three-dimensional boundary value problem in a thin region of the shell. For the constructed applied dynamic theory of micropolar elastic thin shells, D’Alembert-Lagrange and Hamilton variation principles, as well as the general variation principle of Hu-Washizu type are established.

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Authors and Affiliations

  1. National Academy of Sciences of the Republic of Armenia, Shirak State University, Gyumri, Armenia

    Samvel H. Sargsyan

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  1. Samvel H. Sargsyan
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Correspondence to Samvel H. Sargsyan .

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Editors and Affiliations

  1. Lehrstuhl Technische Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    Alexander Belyaev

  3. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  4. Department of Theoretical Mechanics, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    Anton Krivtsov

  5. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    Alexey V. Porubov

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Sargsyan, S.H. (2019). Applied Theory of Dynamics of Micropolar Elastic Thin Shells and Variation Principles. In: Altenbach, H., Belyaev, A., Eremeyev, V., Krivtsov, A., Porubov, A. (eds) Dynamical Processes in Generalized Continua and Structures. Advanced Structured Materials, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-030-11665-1_26

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  • DOI: https://doi.org/10.1007/978-3-030-11665-1_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11664-4

  • Online ISBN: 978-3-030-11665-1

  • eBook Packages: EngineeringEngineering (R0)

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