Ray methods for spatially nonuniform moving tractions acting on a circular cavity
type: Item
instance of: scholarly article
title: Ray methods for spatially nonuniform moving tractions acting on a circular cavity
zbMATH Open document ID: 0606.73030
DOI: 10.1007/BF01184289
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: Ray methods are shown to provide a direct approach to the solution of exterior elasto-dynamic problems involving the region outside a circular cavity in a plane elastic body subjected to moving normal and tangential tractions acting at the surface of the cavity and described as arbitrary functions of the polar angle \(\theta\) and the time t. As a check on the formal ray series approach a particular problem is solved by transform techniques and its asymptotic expansion compared to that generated by the ray series method. The two methods were found to be in complete agreement up to the first three terms of the wavefront expansion.
Mathematics Subject Classification ID: 74J99
zbMATH DE Number: 3980609
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: compared to transformation method
zbMATH Keywords: Ray methods
zbMATH Keywords: exterior elasto-dynamic problems
zbMATH Keywords: region outside a circular cavity
zbMATH Keywords: plane elastic body
zbMATH Keywords: moving normal and tangential tractions
author: T. Bryant Moodie
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01184289
OpenAlex ID: W2136177553
description: scientific article; zbMATH DE number 3980609