WAVE PROPAGATION IN THE LINEAR THEORY OF VISCOELASTICITY

WAVE PROPAGATION IN THE LINEAR THEORY OF VISCOELASTICITY

It was shown in AD-436 823 that, in the linear theory of viscoelasticity, the speed of propagation of an acceleration wave is a solution of a particular eigenvalue problem. It is demonstrated that this eigenvalue problem governs, not only the speed of propagation of acceleration waves, but also the...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Fisher,George M. C, Gurtin,Morton E
Format: Report
Sprache:eng
Schlagworte:
ACCELERATION
DENSITY
EIGENVECTORS
LINEAR SYSTEMS
MECHANICAL WAVES
PROPAGATION
RELAXATION TIME
SHOCK WAVES
THEORY
VECTOR ANALYSIS
VISCOELASTICITY
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Beschreibung
Zusammenfassung:It was shown in AD-436 823 that, in the linear theory of viscoelasticity, the speed of propagation of an acceleration wave is a solution of a particular eigenvalue problem. It is demonstrated that this eigenvalue problem governs, not only the speed of propagation of acceleration waves, but also the propagation speeds of shocks and all higher order waves. Solutions which contain discontinuities of arbitrary order N are easily exhibited.