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Linear Viscoelastic Response to a Deformation at Constant Rate: Derivation of Physical Properties of a Densely Crosslinked Elastomer

 

作者: Thor L. Smith,  

 

期刊: Transactions of the Society of Rheology  (AIP Available online 1976)
卷期: Volume 20, issue 1  

页码: 103-117

 

ISSN:0148-6055

 

年代: 1976

 

DOI:10.1122/1.549429

 

出版商: The Society of Rheology

 

数据来源: AIP

 

摘要:

The stress‐time response,σ(t),to a constant rate of strain, ε̇, followed by a constant strain is discussed. The Boltzmann superposition principle is used to obtain the stress‐relaxation modulusE(t)from the modulusF(t)≡σ(t)/ε(t)that represents the linear viscoelastic response to the ramp functionε(t)=ε̇t.To illustrate the utility ofF(t)obtained from only several tests, the stress‐time response to a strain rate of0.25 min−1was measured on a densely crosslinked elastomer (an epoxy resin whoseT0is 27°C) at 50, 60, and 90°C and atε⩽0.10.The data in conjunction with the WLF equation yielded:1) the linear viscoelastic properties, represented by eitherF(t)orE(t)over five decades of time;2) the equilibrium (elastic) modulus; and3) an acceptable value forT0.To show that the experimental results in fact represent linear viscoelastic behavior, stress‐relaxation data measured at 50°C immediately after a specimen had been stretched atε̇=0.25 min−1toε=0.10were converted intoE(t)by a derived equation and found to agree with that obtained fromF(t).The data along with results from ancillary tests at 10, 20, and 30°C gave the isochronous modulus F(0.015 min) over the rubber‐to‐glass dispersion zone.

 

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