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Mathematical Methods in Electro-Magneto-Elasticity

  • Demosthenis I. Bardzokas
  • Michael L. Filshtinsky
  • Leonid A. Filshtinsky

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 32)

Table of contents

  1. Front Matter
    Pages I-8
  2. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 9-61
  3. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 63-83
  4. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 85-127
  5. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 129-180
  6. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 181-228
  7. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 229-300
  8. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 301-332
  9. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 333-372
  10. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 373-388
  11. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 389-440
  12. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 441-464
  13. Demosthenis I. Bardzokas, Michael L. Filshtinsky, Leonid A. Filshtinsky
    Pages 465-508
  14. Back Matter
    Pages 517-530

About this book

Introduction

The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place.

This book is for the specialists in Continuous Mechanics, Acoustics and Defectoscopy, and also for advanced undergraduate and graduate -level students in Applied Mathematics, Physics, Engineering Mechanics and Physical Sciences.

Keywords

boundary problems continuum mechanics electro-elasticity electromagnetism engineering mechanics magnetic field magnetism mechanics piecewise-homogeneous piezo-electrics static and dynalics problems

Authors and affiliations

  • Demosthenis I. Bardzokas
    • 1
  • Michael L. Filshtinsky
    • 2
  • Leonid A. Filshtinsky
    • 3
  1. 1.National Technical University of AthensSchool of Applied Mathematics and Physical Sciences, Department of Mechanics Laboratory of Testing and MaterialsAthensGreece
  2. 2.Dept. of Mathematical Physics SumyState UniversitySumy
  3. 3.Dept. of Mathematical Physics SumyState UniversitySumy

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-71031-0
  • Copyright Information Springer 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-71030-1
  • Online ISBN 978-3-540-71031-8
  • Series Print ISSN 1613-7736
  • Buy this book on publisher's site