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Last volume in the series 'Acoustic and Elastic Wave Fields in Geophysics'

Elastic waves --- Acoustic surface waves --- Waves, Acoustic surface --- Waves, Elastic surface --- Sound-waves --- Surface waves (Oceanography) --- Elasticity --- Waves --- Underground nuclear explosions --- Elastic waves. --- Acoustic surface waves. --- Geology. --- Science.

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This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Elasticity --- Elasticité --- ELSEVIER-B EPUB-LIV-FT --- Elasticity. --- Mathematical physics. --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Elastic plates and shells. --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Plasticity --- Mécanique --- Mécanique --- Elasticite non-lineaire --- Methode variationnelle

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Earthquakes, a plucked string, ocean waves crashing on the beach, the sound waves that allow us to recognize known voices. Waves are everywhere, and the propagation and classical properties of these apparently disparate phenomena can be described by the same mathematical methods: variational calculus, characteristics theory, and caustics. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. The result is a clear and unified treatment of wave propagation that makes a diverse body of mathematics accessible to engineers, physicists, and applied mathematicians engaged in research on elasticity, aerodynamics, and fluid mechanics. This book will particularly appeal to those working across specializations and those who seek the truly interdisciplinary understanding necessary to fully grasp waves and their behavior. By proceeding from concrete phenomena (e.g., the Doppler effect, the motion of sinusoidal waves, energy dissipation in viscous fluids, thermal stress) rather than abstract mathematical principles, Davis also creates a one-stop reference that will be prized by students of continuum mechanics and by mathematicians needing information on the physics of waves.

Wave-motion, Theory of. --- Acoustic impedance. --- Adiabatic condition. --- Adjoint operators. --- Bessel's equation. --- Boundary layer. --- Brachistochrome problem. --- Bulk modulus. --- Canonical transformations. --- Caustic or focal curves. --- Characteristic coordinates. --- Characteristic line element. --- Characteristics, method of. --- Critical sound speed. --- Cyclic coordinates. --- Deformation. --- Direction field. --- Doppler effect. --- Eigenfunctions. --- Eigenvalues. --- Epicycloid. --- Fermat's principle. --- Finite bar. --- Friction, internal. --- Generalized force. --- Generalized velocity. --- Hamilton-Jacoby theory. --- Hamiltonian. --- Ideal or perfect gas. --- Integral surfaces. --- Isothermal condition. --- Jacobian. --- Kinetic energy. --- Lagrangian function. --- Lame constants. --- Laminar flow. --- Memory function. --- Minimizing curve. --- Monge axis. --- Monge cone. --- Navier equations. --- Oseen approximation. --- Physics of propagating waves. --- Plane elastic waves. --- Poiseuille flow. --- Progressing wave. --- Quantum mechanics. --- Radially symmetric waves. --- Regressing wave. --- Reynold's law. --- Self-adjoint operator. --- Sinusoidal waves. --- Undulatory theory --- Mechanics