On the Dissipative Viscoelastic Constants of Higher Order
L. Knopoff
Abstract
L. Knopoff
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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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