Nonlinear Dynamic Mechanical Moduli for Polycarbonate and Pmma

W. M. Davis, Chris Macosko

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


A multiple integral expansion of the Boltzmann superposition principle when applied to sinusoidal shear oscillations becomes We have evaluated this constitutive equation with hollow cylinders of polycarbonate and polymethylmethacrylate at 1 Hz from Tgto below their 0 transitions. Shear strain amplitude, 70, was increased incrementally from the linear to the nonlinear region. Phase angles and harmonic content were determined with a Rheophasor digital cross correlator. At the maximum strain used, 2-4%, deformation was completely recoverable, after some time, upon returning to the linear region. G1' and G1" vs temperature compare excellently to the literature and our own small strain measurements of G1' and G1" on rectangular bars in free and forced torsion. H3' and H3", and higher harmonic terms were found to be small. All nonlinearity in the range studied can be modeled by G3' and G3" is in the range 10l0-1011 N/m2. G3' is negative and ~ 10 (G3") for both materials. G3' and G3" show a glass transition similar to G1' For polycarbonate they show a very large transition at the Tp of G1'. PMMA showed almost no 0 transition in the nonlinear constants. Molecular explanations and implications for impact and fatigue behavior are discussed as well as potential errors in typical dynamic mechanical data due to these nonlinearities.

Original languageEnglish (US)
Pages (from-to)53-71
Number of pages19
JournalJournal of Rheology
Issue number1
StatePublished - Feb 1978

Bibliographical note

Copyright 2016 Elsevier B.V., All rights reserved.


Dive into the research topics of 'Nonlinear Dynamic Mechanical Moduli for Polycarbonate and Pmma'. Together they form a unique fingerprint.

Cite this