E-Book Overview
This work is a compilation of fundamental solutions (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, and also for transient and harmonic motions. Formulas in the book were programmed and tested within the MATLAB environment. The program listings are available for free download on the book web site.
E-Book Content
FUNDAMENTAL SOLUTIONS IN ELASTODYNAMICS 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 transient and harmonic sources in solid elastic media such as full spaces, half-spaces, and strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical, and spherical). 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. Together with the plots of the response functions, this work should serve as a valuable reference to engineers and scientists alike. These formulas were heretofore found only 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, and the programs thus developed are both listed and available for free download. Eduardo Kausel earned his first professional degree in 1967, graduating a