Propagation of One-Dimensional Waves in Inhomogeneous Elastic Media,
Abstract
Formal progressing wave expansions are applied to problems involving one-dimensional wave propagation through inhomogenous elastic media. Expansions for the stress and particle velocity are obtained in addition to the expansion for the particle displacement which is a special case of previous results. Although one-dimensional problems could be solved with the previously reported asymptotic methods, it is more convenient to use the expansion in terms of the stresses to evaluate the expansion coefficients. The procedure is illustrated by solving several problems in layered and nonlayered inhomogeneous media where the compressional wave speed is subject to power and exponential variations with distance. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1966
- Accession Number
- ADA061111
Entities
People
- Henry F. Cooper Jr.
Organizations
- Air Force Research Laboratory