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Mechanics of Continua and Wave Dynamics

  • Textbook
  • © 1985

Overview

Authors:
  1. Leonid Brekhovskikh

    1. Academy of Sciences of the USSR, P. P. Shirsov Institute of Oceanology, Moscow, USSR

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  2. Valery Goncharov

    1. Academy of Sciences of the USSR, P. P. Shirsov Institute of Oceanology, Moscow, USSR

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Springer Series on Wave Phenomena (SSWAV, volume 1)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XII
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  2. Theory of Elasticity

    1. Front Matter

      Pages 1-1
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    2. The Main Types of Strain in Elastic Solids

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 2-17

    3. Waves in Rods, Vibrations of Rods

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 18-38

    4. General Theory of Stress and Strain

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 39-54

    5. Elastic Waves in Solids

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 55-74

    6. Waves in Plates

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 75-90

  3. Fluid Mechanics

    1. Front Matter

      Pages 91-91
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    2. Basic Laws of Ideal Fluid Dynamics

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 92-120

    3. Potential Flow

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 121-144

    4. Flows of Viscous Fluids

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 145-168

    5. Elements of the Theory of Turbulence

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 169-196

    6. Surface and Internal Waves in Fluids

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 197-235

    7. Waves in Rotating Fluids

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 236-261

    8. Sound Waves

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 262-294

    9. Magnetohydrodynamics

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 295-307

    10. Nonlinear Effects in Wave Propagation

      • Leonid Brekhovskikh, Valery Goncharov
      Pages 308-329

  4. Back Matter

    Pages 330-342
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Keywords

About this book

This text is based on lectures given by the authors to students of the Physico­ Technical Institute in Moscow in the course of many years. Teaching mechan­ ics of continuous media to students in physics has some specific features. Un­ fortunately, the students rarely have enough time for this branch of science. Over a comparatively short period of time and without sophisticated mathe­ matics, the lecturer has to set forth the principal facts and methods of this rather important aspect of theoretical physics. The goal can be achieved only if the knowledge and intuition obtained by students in other courses has been mobilized efficiently. These observations have extensively been taken into account when classical as well as more contemporary and actively developing branches of mechanics of continua are considered. The theory of wave propagation is the most important topic in mechanics of continua for those who work in the field of physics and geophysics. That is why most attention is paid to this topic in the main text as well as in numerous exercises. The propagation of various kinds of hydrodynamic, magnetohydro­ dynamic, acoustic and seismic waves is considered in some detail. We begin with simple questions and proceed to more complicated ones. Accordingly, we treat the elasticity theory first. In the limits this appears to be simpler than the mechanics of fluids. For further study of each topic the reader will find references in the bibliography.

Authors and Affiliations

  • Academy of Sciences of the USSR, P. P. Shirsov Institute of Oceanology, Moscow, USSR

    Leonid Brekhovskikh, Valery Goncharov

Bibliographic Information

  • Book Title: Mechanics of Continua and Wave Dynamics

  • Authors: Leonid Brekhovskikh, Valery Goncharov

  • Series Title: Springer Series on Wave Phenomena

  • DOI: https://doi.org/10.1007/978-3-642-96861-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • eBook ISBN: 978-3-642-96861-7Published: 06 December 2012

  • Series ISSN: 0931-7252

  • Edition Number: 1

  • Number of Pages: XII, 342

  • Additional Information: Originally Russian edition by Nauka, Moscow 1982

  • Topics: Classical Mechanics, Fluid- and Aerodynamics, Acoustics, Geophysics/Geodesy

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