Fundamental Solutions in Elastodynamics: A Compendium

ISBN-13: 9780521855709 / Angielski / Twarda / 2006 / 262 str.

Eduardo Kausel

Opis

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.

Recenzje

'[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

Spis treści

Preface; Part I. Preliminaries: 1. Fundamentals; 2. Dipoles; Part II. Full Space Problems: 3. Two-dimensional problems in full, homogeneous spaces; 4. Three-dimensional problems in full, homogeneous spaces; Part III. Half-Space Problems: 5. Two-dimensional problems in homogeneous half-spaces; 6. Three-dimensional problems in homogeneous half-spaces; Part IV. Plates and Strata: 7. Two-dimensional problems in homogeneous plates and strata; Part V. Analytical and Numerical Methods: 8. Solutions to the Helmholtz and wave equations; 9. Integral transform method; 10. Stiffness (impedance) matrix method; Part VI. Appendices: 11. Basic properties of mathematical functions; 12. Brief table of integral transforms; 13. MATLAB(R) program listings.