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Integral Transform Techniques for Green's Function

  • Kazumi Watanabe

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 71)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Kazumi Watanabe
    Pages 77-92
  3. Kazumi Watanabe
    Pages 93-106
  4. Kazumi Watanabe
    Pages 107-155
  5. Kazumi Watanabe
    Pages 157-186
  6. Back Matter
    Pages 187-190

About this book

Introduction

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.

Keywords

Cagniard's-de Hoop Technique Exact Solutions Green's Function and Dyadic Integral Transform Wave Phenomena

Authors and affiliations

  • Kazumi Watanabe
    • 1
  1. 1.Dept. of Mechanical EngineeringYamagata UniversityYonezawaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00879-0
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-00878-3
  • Online ISBN 978-3-319-00879-0
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • Buy this book on publisher's site