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Spherically Symmetric Deformations of Micropolar Elastic Medium with Distributed Dislocations and Disclinations

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Advances in Mechanics of Microstructured Media and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 87))

Abstract

We discuss the problem of eigenstresses caused by distributed dislocations and disclinations in a hollow solid sphere of linearly elastic isotropic micropolar material. For any spherically symmetric distribution of dislocations and disclinations the exact solution of the boundary value problem is obtained. The derived solution is expressed in primary functions. The spherically symmetric eigenstresses problem is also resolved in the framework of the classical theory of elasticity that is without couple stresses.

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Acknowledgements

This work was supported by the Russian Foundation for Basic Research (grant 18-01-00203).

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Authors and Affiliations

  1. Rostov State Transport University, Rostovskogo Strelkovogo Polka Narodnogo Opolcheniya Sq. 2, 344038, Rostov-on-Don, Russia

    Anastasia A. Zelenina

  2. Southern Federal University, Milchakova Ave. 8a, 344092, Rostov-on-Don, Russia

    Leonid M. Zubov

Authors
  1. Anastasia A. Zelenina
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  2. Leonid M. Zubov
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Correspondence to Leonid M. Zubov .

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Editors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, Rome, Italy

    Francesco dell'Isola

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

    Victor A. Eremeyev

  3. Department of Micromechanics of Materials, Institute of Problems in Mechanical Engineering, Saint Petersburg, Russia

    Alexey Porubov

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Zelenina, A.A., Zubov, L.M. (2018). Spherically Symmetric Deformations of Micropolar Elastic Medium with Distributed Dislocations and Disclinations. In: dell'Isola, F., Eremeyev, V., Porubov, A. (eds) Advances in Mechanics of Microstructured Media and Structures. Advanced Structured Materials, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-73694-5_19

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  • DOI: https://doi.org/10.1007/978-3-319-73694-5_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73693-8

  • Online ISBN: 978-3-319-73694-5

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