The Wave Finite Element Method

  • B. F. Shorr

Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Introduction

    1. B. F. Shorr
      Pages 1-7
  3. Theory

  4. Applications

    1. Front Matter
      Pages 187-187
    2. B. F. Shorr
      Pages 189-224
    3. B. F. Shorr
      Pages 225-248
    4. B. F. Shorr
      Pages 249-264
    5. B. F. Shorr
      Pages 299-314
  5. Conclusion

    1. B. F. Shorr
      Pages 329-330
  6. Back Matter
    Pages 331-355

About this book


This monograph presents in detail the novel "wave" approach to finite element modeling of transient processes in solids. Strong discontinuities of stress, deformation, and velocity wave fronts as well as a finite magnitude of wave propagation speed over elements are considered. These phenomena, such as explosions, shocks, and seismic waves, involve problems with a time scale near the wave propagation time. Software packages for 1D and 2D problems yield significantly better results than classical FEA, so some FORTRAN programs with the necessary comments are given in the appendix. The book is written for researchers, lecturers, and advanced students interested in problems of numerical modeling of non-stationary dynamic processes in deformable bodies and continua, and also for engineers and researchers involved designing machines and structures, in which shock, vibro-impact, and other unsteady dynamics and waves processes play a significant role.


Applied Mechanics Oscillation Technische Mechanik Vibration Wave mechanics modeling simulation

Authors and affiliations

  • B. F. Shorr
    • 1
  1. 1.Central Institute of AviationMotors (CIAM)MoscowRussian Federation

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-53605-2
  • Online ISBN 978-3-540-44579-1
  • Series Print ISSN 1612-1384
  • Series Online ISSN 1860-6237
  • Buy this book on publisher's site