Surface waves in a pre-stressed elastic body
Peter Chadwick, D. A. Jarvis
Source record
Source: Crossref
Published: Jul 26, 1979
DOI: 10.1098/rspa.1979.0067
Open original source ↗Source abstract
Abstract The bearing of the Barnett–Lothe formulation of the theory of elastic surface waves in a crystalline medium on surface motions of a pre-stressed elastic body is examined in this paper. The main results are a general uniqueness theorem and the notion of a neutral set, bounding the domain of existence of surface waves and interpretable as the totality of standing wave solutions. As an application of these ideas a full account is given of the existence of surface waves in a homogeneously deformed elastic body possessing a restricted form of the Hadamard strain-energy function. In conclusion, the difficulties involved in treating an analysis of surface waves as a test of the stability of a loaded semi-infinite elastic body are briefly discussed.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.