Superposition of small strains on large deformations as a probe of nonlinear response in polymers

The incremental response ΔG(t) obtained by superposing a deformation, Δγ, on a large deformation, γ1, has been determined in step shear experiments for a polyisobutylene solution and for a poly(methylmethacrylate) glass in torsion. For both systems ΔG(t) at γ1 was found to be smaller than the linear...

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Bibliographic Details
Published in:Polymer engineering and science 1986-06, Vol.26 (11), p.725-729
Main Authors: Mckenna, Gregory B., Zapas, Louis J.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical Sciences
Condensed Matter
Engineering Sciences
Exact sciences and technology
Materials
Materials Science
Mechanical properties
Physical properties
Physics
Polymer industry, paints, wood
Polymers
Properties and testing
Soft Condensed Matter
Technology of polymers
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Summary:The incremental response ΔG(t) obtained by superposing a deformation, Δγ, on a large deformation, γ1, has been determined in step shear experiments for a polyisobutylene solution and for a poly(methylmethacrylate) glass in torsion. For both systems ΔG(t) at γ1 was found to be smaller than the linear viscoelastic modulus, G(t), at zero prestrain. ΔG(t) was found to increase with increasing time, te, after imposition of the large deformation. It was also observed that the “apparent relaxation spectrum” associated with ΔG(t) narrows and shifts to shorter times when compared to the spectrum associated with the linear viscoelastic modulus, ΔG(t). The results for the solution art‐well described by the nonlinear constitutive equation of the BKZ elastic fluid theory. It is found that ΔG(t) for the glass falls between the behavior predicted by the BKZ theory and the linear viscoelastic behavior.
ISSN:0032-3888
1548-2634
DOI:10.1002/pen.760261103