Aspects of pulse propagation in elastic solids and mixtures of fluids.
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Aspects of pulse propagation in elastic solids and mixtures of fluids.

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Published by University of East Anglia in Norwich .
Written in English


Book details:

Edition Notes

Thesis (Ph.D.) - University of East Anglia, School of Mathematics and Physics, 1969.

ID Numbers
Open LibraryOL13844853M

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The authors of this book have attempted to write a coherent account of a few pulse propagation problems selected from different branches of applied physics. Although the basic material on linear pulse propagation is included, some topics have their own unique twists, and a comprehensive treatment of this body of material can hardly be found in. 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 Book Edition: 1. 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. The conservation of mass for the fluid is given by ^^+div(p^=0, () where v = 3Xf/9t is the velocity of the fluid 5f. Balance of linear momentum Assume that the solid 5s and the fluid 5f have associated with them partial stress tensors a and x, respectively, and let b denote the momentum supply to the fluid 5f due to the solid 5s. Wave propagation in elastic solids SOLID Os PM. ^ss .

If the magnitude of the applied stress pulse exceeds trHEL, tWO waves will propagate through the medium. The elastic wave will move with a speed 2 E(1 -v) cE = 9 () po(1 -2v)(1 -v) This will be followed by a plastic wave moving with a speed that is a function of the slope of the stress-strain curve at a given value of strain. Introduction to Wave Propagation in Nonlinear Fluids and Solids D. S. DRUMHELLER Sandia National Laboratories Porous Locking Solid Immiscible Mixture Theory A Mixture of Two Fluids Dry Plastic Porous Solid Elastic-Plastic Porous Solid. Among the literature on acoustics the book of Pierce [] is an excellent introduction available for a low price from the Acoustical Society of America. In the preparation of the lecture notes we consulted various books which cover different aspects of the problem [14, 16, 18, 37, 48, 70, 87, 93, 99, , , , , , , , ]. A general theory of explosives is that the detonation of the explosives charge causes a high-velocity shock wave and a tremendous release of gas. The shock wave cracks and crushes the rock near the explosives and creates thousands of cracks in the rock. These .

Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range M. A. BIOT* Shell Development Concpany, RCA Buddirg, New York, New York (Received September 1, ) A theory is developed for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid. In Mechanics of Poroelastic Media the classical theory of poroelasticity developed by Biot is developed and extended to the study of problems in geomechanics, biomechanics, environmental mechanics and materials science. The contributions are grouped into sections covering constitutive modelling, analytical aspects, numerical modelling, and applications to problems. Abstract. Predictive modeling of ultrasonic pulse propagation in elastic solids is usually formulated in the frequency domain. Tractable solutions can then be obtained by using, for example, the powerful technique of geometrical elastodynamics and ray theory for wavefront propagation [1]. A new approach in the theory of homogenization is carried out on the variational boundary value problem of the stiff type that governs the small vibrations of a periodic mixture of an elastic solid and a slightly viscous fluid. A convergence theorem is proved, which gives the behaviour of the solution and points out the role of the connectedness of phases in the mechanics of mixtures.