Integral Transform Techniques for Green's Function

• Main Author: Watanabe, Kazumi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 2nd ed. 2015.
• Series: Lecture Notes in Applied and Computational Mechanics, 76
• Subjects: Engineering.; Integral transforms.; Operational calculus.; Applied mathematics.; Engineering mathematics.; Mechanics.; Mechanics, Applied.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical and Applied Mechanics.; Integral Transforms, Operational Calculus.

This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green’s functions for beams, plates...

Table of Contents:

• Definition of integral transforms and distributions
• Green's functions for Laplace and wave equations
• Green's dyadic for an isotropic elastic solid
• Acoustic wave in an uniform flow
• Green's functions for beam and plate
• Cagniard de Hoop technique
• Miscellaneous Green's functions
• Exercises.