Fundamental Solutions in Elastodynamics: A Compendium

Description

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.

Eduardo Kausel earned his first professional degree in 1967, graduating as a Civil Engineer from the University of Chile and then worked at Chile's National Electricity Company. In 1969 he carried out post-graduate studies at the Technical University in Darmstadt. He earned his Master of Science (1972) and Doctor of Science (1974) degrees from MIT. Following graduation, Dr Kausel worked at Stone and Webster Engineering Corporation in Boston, and then joined the MIT faculty in 1978, where he has remained since. He is a registered Professional Engineer in the State of Massachusetts, is senior member of various professional organizations (ASCE, SSA, EERI, IACMG), and has extensive experience as consulting engineer. Among the honors he has received are a 1989 Japanese Government Research Award for Foreign Specialists from the Science and Technology Agency; a 1992 Honorary Faculty Membership in Epsilon Chi, the 1994 Konrad Zuse Guest Professor at the University of Hamburg in Germany, the Humboldt Prize from the German Government in 2000, and the 2001 MIT-CEE Award for Conspicuously Effective Teaching. Dr Kausel is best known for his work on Dynamic Soil-Structure Interaction, and for his very successful Green's functions (fundamental solutions) for the dynamic analysis of layered media, which are incorporated in a now widely used program. Dr Kausel is the author of over hundred and fifty technical papers and reports in the areas of structural dynamics, earthquake engineering, and computational mechanics.

"comprehensive... the book is well-produced, and the contents are well structured. This book is the first one of its kind." Journal of Engineering Mechanics