Lecture Notes in Applied and Computational Mechanics

Integral Transform Techniques for Green's Function

Authors: Watanabe, Kazumi

  • Reference book for engineers
  • Green's dyadics for elasto-dynamics problems in 2D and 3D are shown with their derivations
  • Cagniard's-de Hoop method is fully explained for 2D and 3D elasto-dynamic problems
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  • ISBN 978-3-319-00879-0
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About this book

In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.

About the authors

Professor Watanabe is retired professor (2012) of mechanical engineering; he is active member of the advisory board of Acta Mechanica and has already co-edited a book at Springer

Table of contents (7 chapters)

  • Definition of Integral Transforms and Distributions

    Watanabe, Kazumi

    Pages 1-10

  • Green’s Functions for Laplace and Wave Equations

    Watanabe, Kazumi

    Pages 11-42

  • Green’s Dyadic for an Isotropic Elastic Solid

    Watanabe, Kazumi

    Pages 43-75

  • Acoustic Wave in a Uniform Flow

    Watanabe, Kazumi

    Pages 77-92

  • Green’s Functions for Beam and Plate

    Watanabe, Kazumi

    Pages 93-106

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-00879-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Integral Transform Techniques for Green's Function
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
71
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00879-0
DOI
10.1007/978-3-319-00879-0
Series ISSN
1613-7736
Edition Number
1
Number of Pages
XII, 190
Number of Illustrations and Tables
34 b/w illustrations
Topics