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Fundamental Solutions in Elastodynamics: A Compendium

Fundamental Solutions in Elastodynamics: A Compendium

by Eduardo Kausel


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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.

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Product Details

ISBN-13: 9780521375993
Publisher: Cambridge University Press
Publication date: 07/21/2011
Edition description: Reissue
Pages: 262
Product dimensions: 7.01(w) x 10.00(h) x 0.55(d)

Table of Contents

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.

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