Wave Propagation in Elastic Solids (Volume 16) (North-Holland Series in Applied Mathematics and Mechanics, Volume 16)

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. Content: Front Matter , Page III Copyright , Page IV Dedication , Page V PREFACE , Pages VII-VIII INTRODUCTION , Pages 1-9 CHAPTER 1 - ONE-DIMENSIONAL MOTION OF AN ELASTIC CONTINUUM , Pages 10-45 CHAPTER 2 - THE LINEARIZED THEORY OF ELASTICITY , Pages 46-78 CHAPTER 3 - ELASTODYNAMIC THEORY , Pages 79-121 CHAPTER 4 - ELASTIC WAVES IN AN UNBOUNDED MEDIUM , Pages 122-164 CHAPTER 5 - PLANE HARMONIC WAVES IN ELASTIC HALF-SPACES , Pages 165-201 CHAPTER 6 - HARMONIC WAVES IN WAVEGUIDES , Pages 202-261 CHAPTER 7 - FORCED MOTIONS OF A HALF-SPACE , Pages 262-325 CHAPTER 8 - TRANSIENT WAVES IN LAYERS AND RODS , Pages 326-356 CHAPTER 9 - DIFFRACTION OF WAVES BY A SLIT , Pages 357-390 CHAPTER 10 - THERMAL AND VISCOELASTIC EFFECTS, AND EFFECTS OF ANISOTROPY AND NONLINEARITY , Pages 391-419 AUTHOR INDEX , Pages 420-421 SUBJECT INDEX , Pages 422-425 The propagation of mechanical disturbances in solids is of interest in many branches of the physical sciences and engineering. This book presents an account of the theory of wave propagation in elastic solids and includes a discussion of formal aspects of elastodynamic theory in 3 dimensions. It discusses the pertinent mathematical techniques.