Fundamental Solutions in Elastodynamics

A Compendium

By: Eduardo Kausel, E. Kausel

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Paperback | 21 July 2011

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262 Pages

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25.4 x 17.78 x 1.4

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This 2006 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.

Industry Reviews

'[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

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Science Physics Classical Mathematics Dynamics & Statics Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Solids Dynamics & Vibration

Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Civil Engineering

Preface
Preliminaries
Fundamentals
Dipoles
Full Space Problems
Two-dimensional problems in full, homogeneous spaces
Three-dimensional problems in full, homogeneous spaces
Half-Space Problems
Two-dimensional problems in homogeneous half-spaces
Three-dimensional problems in homogeneous half-spaces
Plates and Strata
Two-dimensional problems in homogeneous plates and strata
Analytical and Numerical Methods
Solutions to the Helmholtz and wave equations
Integral transform method
Stiffness (impedance) matrix method
Appendices
Basic properties of mathematical functions
Brief table of integral transforms
MATLAB(R) program listings
Table of Contents provided by Publisher. All Rights Reserved.

Fundamental Solutions in Elastodynamics

A Compendium

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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