On nonlinear plane vibration of a moving threadline
type: Item
instance of: scholarly article
title: On nonlinear plane vibration of a moving threadline
zbMATH Open document ID: 0644.73055
DOI: 10.1007/BF00945057
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1988-01-01T00:00:00Z
review text: We consider plane vibrations of a moving threadline described by the model equations obtained by \textit{W. F. Ames}, \textit{S. Y. Lee} and \textit{J. N. Zaiser} [Int. J. Non-linear Mech. 3, 449-469 (1968)]. We study the propagation of weak discontinuities and their interaction with shock waves. We show that the only possible shocks satisfying the Lax conditions and the evolutionary condition of \textit{L. Brun} [J. Mandel and L. Brun (eds.), Mechanical waves in solids (1975; Zbl 0374.73032)] are the characteristic shocks.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74M20
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 4051122
zbMATH Keywords: plane vibrations
zbMATH Keywords: moving threadline
zbMATH Keywords: weak discontinuities
zbMATH Keywords: shock waves
author: Andrea Donato
author: F. Oliveri
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00945057
OpenAlex ID: W2018697563
description: scientific article; zbMATH DE number 4051122