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On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells

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Shell and Membrane Theories in Mechanics and Biology

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 45))

Abstract

Classes of the three-dimensional (3D) boundary-value problems for plates and shells, which can be successfully solved by the asymptotic method, are considered. The first, second, and mixed boundary-value problems of the elasticity theory, as well as the nonclassical boundary-value problems for determination of the stress-strain state of the Earth lithospheric plates are studied. The solutions of the 3D dynamic problems for layered plates are applied to diminution of impact of negative seismic waves on buildings and constructions. Connected and disconnected problems of thermoelasticity, the 3D dynamic problems of electroelasticity for beforehand polarized piezoceramic plates and shells are also solved.

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Acknowledgments

The work was supported by the State Committee of Science MES RA in framework of the research project No. 13-2c009 SCS.

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Authors and Affiliations

  1. Institute of Mechanics of NAS of Armenia, Marshall Baghramian Ave. 24B, 0019, Yerevan, Armenia

    Lenser A. Aghalovyan

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  1. Lenser A. Aghalovyan
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Correspondence to Lenser A. Aghalovyan .

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

    Holm Altenbach

  2. Department of Bio- and Nanomechanics, Belarusian State University, Minsk, Belarus

    Gennadi I. Mikhasev

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Aghalovyan, L.A. (2015). On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells. In: Altenbach, H., Mikhasev, G. (eds) Shell and Membrane Theories in Mechanics and Biology. Advanced Structured Materials, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-319-02535-3_1

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  • DOI: https://doi.org/10.1007/978-3-319-02535-3_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02534-6

  • Online ISBN: 978-3-319-02535-3

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