Large Amplitude Waves in Bounded Media. I. Reflection and Transmission of Large Amplitude Shockless Pulses at an Interface

摘要

The paper is in two parts. In the first part the reflection and transmission of an incident pulse when it arrives at an interface with a semi-infinite medium is described and the ideas of nonlinear impedance, reflection coefficient and transmission coefficient are introduced. In the second part of the paper a more detailed account is given of what happens when a pulse is partially reflected and partially transmitted at an interface. This is achieved by noting that the responses of many elastic materials can be correlated, both qualitatively and quantitatively, by a family of stress vs. strain laws for which the governing nonlinear equations for this problem can be solved exactly. (Author)