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Reciprocity in Elastodynamics

$102.00 ( ) USD

Part of Cambridge Monographs on Mechanics

  • Date Published: March 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511888885

$ 102.00 USD ( )
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About the Authors
  • The reciprocity theorem has been used for over 100 years to establish interesting and useful relationships and to formulate problems. Internationally distinguished for his contributions to mechanics, Jan Achenbach presents a novel method of solving wave fields. The material presented here is relevant to applications in engineering and applied physics such as ultrasonics for medical imaging and non-destructive evaluation, acoustic microscopy, seismology, exploratory geophysics, and structural acoustics.

    • Sheds new light on the utility of reciprocity relations for dynamic fields in an elastic body
    • Presents new method to solve for wave fields generated by dynamic loading conditions
    • Systematically discusses applications, old and new, for reciprocity in acoustics, in one-dimensional elastodynamics, and in two- and three-dimensional elastodynamics
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    Reviews & endorsements

    "This book will be a very useful tool for any researcher or graduate student working in any aspect of wave theory." Mathematical Reviews

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    Product details

    • Date Published: March 2011
    • format: Adobe eBook Reader
    • isbn: 9780511888885
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    1. Introduction
    2. Some elastodynamic theory
    3. Wave motion in an unbounded elastic solid
    4. Some simple applications of reciprocity
    5. Wave motion guided by a carrier wave
    6. Waves in an elastic layer
    7. Reciprocity considerations for the elastic layer
    8. Forced motion of an elastic layer
    9. Integral representations and integral equations
    10. Scattering waveguides and bounded bodies
    Bibliography
    Index.

  • Author

    J. D. Achenbach, Northwestern University, Illinois

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