Wave dispersion and attenuation in viscoelastic polymeric bars: analysing the effect of lateral inertia

Majid Aleyaasin, John J Harrigan

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Elementary one-dimensional wave theory is often used to describe the propagation of longitudinal stress waves in polymer rods. More accurate solutions are available, but they are mathematically difficult. A new wave equation is derived for long polymeric rods in this paper. The material properties are modelled as a Maxwell viscoelastic material acting in parallel with an elastic material. Lateral motions of the rod that result from the Poisson effect are accounted for using a new concept called the “effective density”. The effects of both the material properties and the diameter of the bar on dispersion and attenuation coefficients are highlighted. The new wave theory simplifies to the one-dimensional solution for waves in polymer rods if the Poisson ratio is set to zero. The predictions simplify to Love's equation for stress waves in elastic bars when rate dependency is removed from the material model.
Original languageEnglish
Pages (from-to)754-757
Number of pages4
JournalInternational Journal of Mechanical Sciences
Volume52
Issue number5
Early online date25 Jan 2010
DOIs
Publication statusPublished - May 2010

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wave attenuation
wave dispersion
inertia
rods
stress waves
elastic bars
Materials properties
Polymers
polymers
attenuation coefficients
Poisson ratio
wave equations
Wave equations
Wave propagation
propagation
coefficients
predictions

Keywords

  • stress wave propagation
  • viscoelesticity
  • Split Hopkinson Pressure Bar (SHPB)

Cite this

Wave dispersion and attenuation in viscoelastic polymeric bars : analysing the effect of lateral inertia. / Aleyaasin, Majid; Harrigan, John J.

In: International Journal of Mechanical Sciences, Vol. 52, No. 5, 05.2010, p. 754-757.

Research output: Contribution to journalArticle

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