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Three-Dimensional Contact Problems

  • Book
  • © 2001

Overview

Authors:
  1. V. M. Alexandrov

    1. Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

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  2. D. A. Pozharskii

    1. Mechanics and Applied Mathematics Institute, Rostov-on-Don State University, Rostov-on-Don, Russia

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 93)

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About this book

A systematic treatment, based on Green's functions and integral equations, is given to the analytical and numerical methods and results for a great number of 3-D contact problems for elastic bodies. Semi-bounded elastic bodies (layer, cylinder, space with cylindrical or spherical cavity, 3-D wedge, special cases of which are half- and quarter-spaces, cone) and finite elastic bodies (circular plate, finite cylinder, spherical layer, spherical lens, sphere) are considered. Methods introduced in the book can also be applied in fracture mechanics, hydrodynamics, electrostatics, thermodynamics and diffusion theory, continuum mechanics, and mathematical physics, as well as by engineers and students in mathematics, mechanics, and physics.

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Contact Problems for a Half-Space

    • V. M. Alexandrov, D. A. Pozharskii
    Pages 1-31

  3. Contact Problems for Layers and Half-Spaces

    • V. M. Alexandrov, D. A. Pozharskii
    Pages 33-117

  4. Contact Problems for a Cylinder

    • V. M. Alexandrov, D. A. Pozharskii
    Pages 119-214

  5. Contact Problems for a Wedge

    • V. M. Alexandrov, D. A. Pozharskii
    Pages 215-280

  6. Contact Problems for a Cone

    • V. M. Alexandrov, D. A. Pozharskii
    Pages 281-338

  7. Contact Problems for Spherical Lens

    • V. M. Alexandrov, D. A. Pozharskii
    Pages 339-382

  8. Back Matter

    Pages 383-412
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Reviews

`Three-Dimensional Contact Problems is recommended for purchase by engineering libraries and for individuals interested in the mathematical analysis of contact problems.'
Applied Mechanical Review, 55:4 (2002)

Authors and Affiliations

  • Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    V. M. Alexandrov

  • Mechanics and Applied Mathematics Institute, Rostov-on-Don State University, Rostov-on-Don, Russia

    D. A. Pozharskii

Bibliographic Information

  • Book Title: Three-Dimensional Contact Problems

  • Authors: V. M. Alexandrov, D. A. Pozharskii

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-010-9893-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 2001

  • Softcover ISBN: 978-1-4020-0387-5Published: 30 November 2001

  • eBook ISBN: 978-94-010-9893-9Published: 06 December 2012

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: 428

  • Topics: Classical Mechanics, Mathematical and Computational Engineering

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