Ebook: Mechanics of Continua and Wave Dynamics

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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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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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.
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-1
The Main Types of Strain in Elastic Solids....Pages 2-17
Waves in Rods, Vibrations of Rods....Pages 18-38
General Theory of Stress and Strain....Pages 39-54
Elastic Waves in Solids....Pages 55-74
Waves in Plates....Pages 75-90
Front Matter....Pages 91-91
Basic Laws of Ideal Fluid Dynamics....Pages 92-120
Potential Flow....Pages 121-144
Flows of Viscous Fluids....Pages 145-168
Elements of the Theory of Turbulence....Pages 169-196
Surface and Internal Waves in Fluids....Pages 197-235
Waves in Rotating Fluids....Pages 236-261
Sound Waves....Pages 262-294
Magnetohydrodynamics....Pages 295-307
Nonlinear Effects in Wave Propagation....Pages 308-329
Back Matter....Pages 330-343

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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.
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-1
The Main Types of Strain in Elastic Solids....Pages 2-17
Waves in Rods, Vibrations of Rods....Pages 18-38
General Theory of Stress and Strain....Pages 39-54
Elastic Waves in Solids....Pages 55-74
Waves in Plates....Pages 75-90
Front Matter....Pages 91-91
Basic Laws of Ideal Fluid Dynamics....Pages 92-120
Potential Flow....Pages 121-144
Flows of Viscous Fluids....Pages 145-168
Elements of the Theory of Turbulence....Pages 169-196
Surface and Internal Waves in Fluids....Pages 197-235
Waves in Rotating Fluids....Pages 236-261
Sound Waves....Pages 262-294
Magnetohydrodynamics....Pages 295-307
Nonlinear Effects in Wave Propagation....Pages 308-329
Back Matter....Pages 330-343
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