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On the use of acceleration waves to characterize the dynamic response of non‐linear viscoelastic materials
Author(s) -
Nunziato Jace W.
Publication year - 1978
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760181411
Subject(s) - viscoelasticity , acceleration , wave propagation , experimental data , mechanics , standard linear solid model , materials science , acoustics , physics , classical mechanics , optics , mathematics , composite material , statistics
We consider the analysis of data obtained in one‐dimensional acceleration wave experiments on a non‐linear viscoelastic material and discuss how such data can be used to characterize the dynamic response of the material. To begin, we review briefly the general theory of one‐dimensional motions in viscoelastic materials and the methods employed to generate and observe acceleration waves in a material sample. We then discuss two methods of data analysis, a wave front analysis and a wave profile analysis, and indicate the type of information each analysis provides with regard to the dynamic properties of the material. Finally, using a known model for poly(methyl methacrylate) in a finite‐difference, Lagrangian wave‐propagation code, we calculate acceleration wave profiles at several locations in the sample and, treating these profiles as “experimental” data, we then illustrate how data from three or more acceleration wave experiments can be used to formulate a specific viscoelastic constitutive model for the material.