Mechanics of Continua and Wave Dynamics
is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory. The material is presented with simplicity and clarity but also with mathematical rigor. Many wave phenomena, especially those of geophysical nature (different types of waves in the ocean, seismic waves in the earth crust, wave propagation in the atmosphere, etc.), are considered. Each subject is introduced with simple physical concepts using numerical examples and models. The treatment then goes into depth and complicated aspects are illustrated by appropriate generalizations. Numerous exercises with solutions will help students to comprehend and assimilate the ideas.
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ISBN-13
978-3-642-85034-9 (9783642850349)
DOI
10.1007/978-3-642-85034-9
Schweitzer Klassifikation
I Theory of Elasticity.- 1. The Main Types of Strain in Elastic Solids.- 2. Waves in Rods, Vibrations of Rods.- 3. General Theory of Stress and Strain.- 4. Elastic Waves in Solids.- 5. Waves in Plates.- II Fluid Mechanics.- 6. Basic Laws of Ideal Fluid Dynamics.- 7. Potential Flow.- 8. Flows of Viscous Fluids.- 9. Elements of the Theory of Turbulence.- 10. Surface and Internal Waves in Fluids.- 11. Waves in Rotating Fluids.- 12. Sound Waves.- 13. Magnetohydrodynamics.- 14. Nonlinear Effects in Wave Propagation.- Appendix: Tensors.- Bibliographical Sketch.