1954The Journal of the Acoustical Society of AmericaRequires access

On the Dissipative Viscoelastic Constants of Higher Order

L. Knopoff

Open publisher page 13 citations

Abstract

The limitations imposed upon the usual elastic and viscoelastic constants are reinvestigated. Defining viscoelastic properties of a higher order, it is found that methods which have been used for the first-order quantities are insufficient to determine relationships between the higher-order constants. Necessary but non-sufficient criteria are arrived at by means of arguments involving energies in dissipative processes.

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What this paper is about

The limitations imposed upon the usual elastic and viscoelastic constants are reinvestigated. Defining viscoelastic properties of a higher order, it is found that methods which have been used for the first-order quantities are insufficient to determine relationships between the higher-order constants. Necessary but non-sufficient criteria are arrived at by means of arguments involving energies in dissipative processes.

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Available abstract

The limitations imposed upon the usual elastic and viscoelastic constants are reinvestigated. Defining viscoelastic properties of a higher order, it is found that methods which have been used for the first-order quantities are insufficient to determine relationships between the higher-order constants. Necessary but non-sufficient criteria are arrived at by means of arguments involving energies in dissipative processes.

Key concepts: Dissipative system, Viscoelasticity, Order (exchange), Constant (computer programming), First order, Mathematical analysis, Classical mechanics, Thermodynamics

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