Eduardo Kausel-Fundamental solutions in elastodynamics_ a compendium-Cambridge University Press (2006)

Contents
Preface
page ix
SECTION I: PRELIMINARIES
1. Fundamentals 1
1.1 Notation and table of symbols 1
1.2 Sign convention 4
1.3 Coordinate systems and differential operators 4
1.3.1 Cartesian coordinates 4
1.3.2 Cylindrical coordinates 6
1.3.3 Spherical coordinates 9
1.4 Strains, stresses, and the elastic wave equation 13
1.4.1 Cartesian coordinates 13
1.4.2 Cylindrical coordinates 16
1.4.3 Spherical coordinates 21
2. Dipoles 27
2.1 Point dipoles or doublets: single couples and tensile crack
sources 27
2.2 Line dipoles 29
2.3 Torsional point sources 30
2.4 Seismic moments (double couples with no net resultant) 30
2.5 Blast loads (explosive line and point sources) 31
2.6 Dipoles in cylindrical coordinates 32
SECTION II: FULL SPACE PROBLEMS
3. Two-dimensional problems in full, homogeneous spaces 35
3.1 Fundamental identities and definitions 35
3.2 Anti-plane line load (SH waves) 35
3.3 SH line load in an orthotropic space 36
3.4 In-plane line load (SV-P waves) 38
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