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Rotating spherical interlayer (RSI) measurement of the dynamic mechanical properties of elastomers
Author(s) -
Kaelble D. H.
Publication year - 1969
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1969.070131204
Subject(s) - materials science , dissipation factor , radius , viscoelasticity , shear modulus , superposition principle , dynamic mechanical analysis , elastomer , tangent , dynamic modulus , composite material , polymer , thermodynamics , physics , dielectric , geometry , mathematics , computer security , optoelectronics , quantum mechanics , computer science
An analysis of simple shear in a rotating spherical interlayer is presented. The theory provides design criteria and operating equations for a new method of measuring the dynamic mechanical properties of soft viscoelastic polymers. The storage component of the dynamic shear modulus G ′(ω) = 3 F 1 hm 2 /2π r 4 (3 sin ϕ + sin 3 ϕ) (Δ X t − K 1 F 1 ) and the loss tangent than δ = [ F 2 (Δ X t − K 1 F 1 ) − K 2 F 1 F 2 ]/[ F 1 (Δ X t − K 1 F 1 )− K 2 ( F 2 ) 2 ] are expressed in terms of the inner radius r , thickness, h , and are angle ϕ of sample extending from the rotational equator; the biaxial dynamometer compliances K 1 , K 2 ; the imposed dynamometer displacement Δ X t ; and the spherical interlayer storage and loss forces F 1 , F 2 . New instrumentation involving a rotating spherical interlayer (RSI) transducer and a rotational accessory to the Instron provides measurements from 0.001 to 45 cycle/sec at temperatures from −50° to 200°C. A comparison of RSI data, treated by time–temperature superposition, and literature values of dynamic response in polyisobutylene confirms both theory and method.