The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.

Wave propagation in elastic solids, (North-Holland series in applied mathematics and mechanics, v. 16)

Science & Math

Achenbach, J. D.

Mathematics

American Elsevier Pub. Co.

Ray Methods for Waves in Elastic Solids: With Applications to Scattering by Cracks

Physics

John Wiley&Sons

The reciprocity theorem has been used for over 100 years to establish interesting and useful relations between different loading states of a body. This book discusses current and novel uses of reciprocity relations for the determination of elastodynamic fields. The author, who is internationally distinguished for his contributions to theoretical and applied mechanics, presents a novel method to solve for wave fields, shedding new light on the use of reciprocity relations for dynamic fields in an elastic body. The material presented in the book is relevant to several fields in engineering and applied physics. Examples are ultrasonics for medical imaging and non-destructive evaluation, acoustic microscopy, seismology, exploratory geophysics, structural acoustics, and the response of structures to high-rate loads and the determination of material properties by ultrasonic techniques.

Reciprocity in Elastodynamics (Cambridge Monographs on Mechanics)

Cambridge University Press

The reciprocity theorem has been used for over 100 years to establish interesting and useful relationships and to formulate problems. Internationally distinguished for his contributions to mechanics, Jan Achenbach presents a novel method of solving wave fields. The material presented here is relevant to applications in engineering and applied physics such as ultrasonics for medical imaging and non-destructive evaluation, acoustic microscopy, seismology, exploratory geophysics, and structural acoustics.

Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.

Wave Propagation in Elastic Solids: North-Holland Series in Applied Mathematics and Mechanics

North-Holland

See the best price to sell, buy, or rent books by Achenbach, J. D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Achenbach, J. D.

See the best price to sell, buy, or rent books by Achenbach, J. D.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Wave propagation in elastic solids, (North-Holland series in applied mathematics and mechanics, v. 16)

Ray Methods for Waves in Elastic Solids: With Applications to Scattering by Cracks

Reciprocity in Elastodynamics (Cambridge Monographs on Mechanics)

Reciprocity in Elastodynamics (Cambridge Monographs on Mechanics)

Wave Propagation in Elastic Solids: North-Holland Series in Applied Mathematics and Mechanics