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The Contact Problems of the Mathematical Theory of Elasticity for Plates with an Elastic Inclusion

  • Conference paper
IUTAM Symposium on Relations of Shell Plate Beam and 3D Models

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 9))

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Abstract

The contact problems of the theory of elasticity and bending theory of plates for finite or infinite plates with an elastic inclusion of variable rigidity are considered. The problems are reduced to integro-differential equations or to systems of integro-differential equations with variable coefficient and singular operator. If such coefficient varies according to power law, we investigate the obtained equations and get exact or approximate solutions and study behavior of unknown contact stresses at the ends of the elastic inclusion.

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Author information

Authors and Affiliations

  1. A. Razmadze Mathematical Institute, 1 Aleksidze St., Tbilisi 0193, Georgia

    Nugzar Shavlakadze

Authors
  1. Nugzar Shavlakadze
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Editor information

Editors and Affiliations

  1. I.Vekua Institute of Applied Mathematics, Iv. Javakhishvili Tbilisi State University, University Street 2, 0186 Tbilisi, Georgia

    George Jaiani

  2. Dipartimento di Ingegneria Civile, Universita’ di Roma TorVergata, Viale Politecnico 1, 00133 Roma, Italy

    Paolo Podio-Guidugli

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Shavlakadze, N. (2008). The Contact Problems of the Mathematical Theory of Elasticity for Plates with an Elastic Inclusion. In: Jaiani, G., Podio-Guidugli, P. (eds) IUTAM Symposium on Relations of Shell Plate Beam and 3D Models. IUTAM Bookseries, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8774-5_18

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  • DOI: https://doi.org/10.1007/978-1-4020-8774-5_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8773-8

  • Online ISBN: 978-1-4020-8774-5

  • eBook Packages: EngineeringEngineering (R0)

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