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Description of the Mechanical Properties of Viscoelastic Materials Using a Modified Anelastic Element
Author(s) -
Hermida Élida B.
Publication year - 1993
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221780208
Subject(s) - viscoelasticity , materials science , function (biology) , material properties , distribution function , modulus , element (criminal law) , dynamic modulus , measure (data warehouse) , statistical physics , mechanics , polymer , thermodynamics , physics , dynamic mechanical analysis , composite material , computer science , database , evolutionary biology , political science , law , biology
Quasi‐static and dynamical tests are employed to measure the modulus or the compliance of a material as a function of time or frequency, and to determine the respective distribution function in the case of a linear viscoelastic medium. The evolution of the mechanical properties, and consequently the distribution functions, are usually described by empirical expressions which cannot always be interpreted according to a physical model. Furthermore, as a rule these empirical distributions do not lead to closed expressions for all the viscoelastic functions. The mechanical properties of viscoelastic materials (amorphous polymers, metallic glasses, etc.) are described using a modified anelastic element (MAE). This modified element is analogous to the standard anelastic element, having a single characteristic time, τ, that is not a constant but a function of time or frequency. On considering a particular functional dependence of τ, it is demonstrated how several empirical viscoelastic functions are approximations of the mechanical properties of the MAE. Moreover, this functional dependence is related to the log‐normal distribution the statistical and physical meanings of which are discussed in detail.