Fundamental Solutions in Elastodynamics

A Compendium

by

Subject categories
ISBNs
  • 0511145071
  • 9780521855709
  • 9780511145070
This work is a compilation of fundamental solutions (or Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media like full spaces, half-spaces, strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical and spherical), and also for transient and harmonic motions. Such formulas are useful for numerical methods and practical application to problems of wave propagation in elasticity, soil dynamics, earthquake engineering, mechanical vibration, or geophysics. These formulas were heretofore only found scattered throughout the literature. The solutions are tabulated without proof, but giving reference to appropriate modern papers and books containing full derivations. Most formulas in the book have been programmed and tested within the MATLAB environment. The program listings are available for free download on the book's website.
  • Cambridge University Press; February 2006
  • ISBN 9780511145070
  • Read online, or download in secure PDF format
  • Title: Fundamental Solutions in Elastodynamics
  • Author: Eduardo Kausel
  • Imprint: Cambridge University Press
Subject categories
ISBNs
  • 0511145071
  • 9780521855709
  • 9780511145070

In The Press

'[This book] presents a concise treatment of fundamental solutions of a variety of problems arising in elastodynamics … It should be useful to students and researchers in applied mathematics, geophysics, engineering and other applied sciences.' Fiazud Din Zaman, Zentralblatt MATH