Response of elastic solids to a moving discontinuity
type: Item
instance of: scholarly article
title: Response of elastic solids to a moving discontinuity
zbMATH Open document ID: 0626.73020
DOI: 10.1016/0020-7225(88)90017-1
author: Dimitrios A. Sotiropoulos
published in: International Journal of Engineering Science
publication date: 1988-01-01T00:00:00Z
review text: The high frequency radiation from a nonuniformly moving discontinuity in an elastic solid is obtained. The discontinuity is modelled as a supersonic Somigliana screw dislocation and the analysis is made through use of the stationary phase method. Inversion of the dominant high frequency terms into the time domain gives the elastic motion at the shock-front and shear-front as well as an approximate closed form solution for all time. The dynamic displacement discontinuity of the dislocation is of the form \(\Delta u_ z=U(\xi)f[t-t_ R(\xi)]\). Simple forms of \(\Delta u_ z\) have been treated previously in the literature, so that this work also presents some comparisons with these earlier efforts.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 4018471
zbMATH Keywords: Knopoff-De Hoop representation theorem
zbMATH Keywords: high frequency radiation
zbMATH Keywords: nonuniformly moving discontinuity
zbMATH Keywords: supersonic Somigliana screw dislocation
zbMATH Keywords: stationary phase method
zbMATH Keywords: Inversion
zbMATH Keywords: elastic motion
zbMATH Keywords: shock- front
zbMATH Keywords: shear-front
zbMATH Keywords: approximate closed form solution
zbMATH Keywords: dynamic displacement discontinuity
MaRDI profile type: Publication
full work available at URL: 0020-7225(88)90017-1
OpenAlex ID: W2080769915
cites work: The Equation of Motion of a Dislocation
cites work: The nonuniform motion of a supersonic dislocation
cites work: Q5685720
cites work: Q5633072
cites work: Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
cites work: Q5736202
description: scientific article; zbMATH DE number 4018471