Integral Transform Techniques for Green's Function

1. Front Matter

   Pages i-xii

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2. Definition of Integral Transforms and Distributions

   • Kazumi Watanabe

   Pages 1-10

3. Green’s Functions for Laplace and Wave Equations

   • Kazumi Watanabe

   Pages 11-42

4. Green’s Dyadic for an Isotropic Elastic Solid

   • Kazumi Watanabe

   Pages 43-75

5. Acoustic Wave in a Uniform Flow

   • Kazumi Watanabe

   Pages 77-92

6. Green’s Functions for Beam and Plate

   • Kazumi Watanabe

   Pages 93-106

7. Cagniard-de Hoop Technique

   • Kazumi Watanabe

   Pages 107-155

8. Miscellaneous Green’s Functions

   • Kazumi Watanabe

   Pages 157-186

9. Back Matter

   Pages 187-190

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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.

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

• Dept. of Mechanical Engineering, Yamagata University, Yonezawa, Japan

  Kazumi Watanabe

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

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