Propagation of vibration in media with complex structure

Abstract

The laws of vibration decay with distance from the source of vibration were investigated in the previous Chapter. The character of the decay turned out to be essentially dependent on the rheological properties of the material. There exists, however, another important factor which influences the decay character, which is the dynamical structure of the medium. The analysis of media with complex structure has attracted much attention. The simplest among the media with complex structure is the Cosserat medium, its modern description being given in [91] and [117]. The Mindlin medium with a microstructure, see [106], is more sophisticated. Of extreme complexity is the multipolar mechanics developed by Green and Rivlin [45].