Laboratory tests were conducted on selected granular materials to determine the velocities of propagation of the shear and compression waves and to evaluate the internal damping. Test variables included the confining pressure, amplitude of vibration, void ratio of the material, saturation, and grain size. Resonant column tests were used for wave velocity evaluation, and the vibration decay method and static torsion tests were used to determine damping. The granular materials used were Ottawa standard sand, two sizes of glass spheres, and a crushed quartz. Confining pressure had the most significant effect on velocities of wave propagation, with velocities increasing about with the 1/4 power of the confining pressure. Damping determined from the decay o steady state vibrations behaved like viscous damping. The values of logarithmic decrement varied from about 0.02 to 0.20 for these materials and test conditions. Higher values of logarithmic decrement were found in the static torsion tests because tresses up to 75 per cent of the failure conditions were used. (Author).

Elastic waves are used in fields as diverse as the non-destructive evaluation of materials, medicine, seismology and telecommunications. Elastic Waves in Solids 1 presents the different modes of propagation of elastic waves in increasingly complex media and structures. It first studies the propagation in an unlimited solid where only the material properties are taken into account. It then analyzes reflection and transmission phenomena at an interface with a fluid or a second solid. It explains the search for propagation modes on a free surface or at the interface between two media. Finally, it proposes a study of the dispersive propagation of elastic waves guided by a plate or a cylinder. This book is intended for students completing a master’s degree in acoustics, mechanics, geophysics or engineering, as well as teachers and researchers in these disciplines.

This volume introduces both theory and applications in detail. It includes differential dynamical models of granular shearing, dynamical strength characteristics and the excited response of granules subject to vibration. The book is a useful reference for both theoretical researchers and engineers in the fields of mining engineering and geotechnical engineering. Engineers in fields ranging from metallurgy to water conservancy and hydroelectricity will also benefit from the book.

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.