Abstract
Wave propagation in random media has been an area of active research for a number of years. However, due to the inherent mathematical difficulties and relevance of the subject in geophysical and radiophysical problems, most studies were confined to harmonic-type solutions of linear wave equations with random index of refraction in continuous or discrete media, and wave scattering at random surfaces. Thus, most of the problems connected with wavefront propagation, and especially in a nonlinear setting, are so far understood only in the context of such phenomena taking place in deterministic media. In this paper we give an account of our recent research on wavefront propagation in random nonlinear elastic (power-law) media that builds on earlier studies set in the elastic and bilinear elastic contexts. As it is classically the case in stochastic mechanics, the main objective is to study the effects of randomness - that is, material randomness - as compared to the deterministic solutions. In our subject area this randomness is due to the spatial heterogeneity of the microstructures, and the basic goal is to assess the effects it has on the propagating waves.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 191-195 |
| Number of pages | 5 |
| Journal | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |
| Volume | 192 |
| State | Published - 1994 |
| Externally published | Yes |
| Event | Proceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA Duration: Nov 6 1994 → Nov 11 1994 |
ASJC Scopus subject areas
- Mechanical Engineering