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Stress Relaxation and Differential Dynamic Modulus of Polyisobutylene in Large Shearing Deformations

 

作者: Yoshinobu Isono,   John D. Ferry,  

 

期刊: Journal of Rheology  (AIP Available online 1985)
卷期: Volume 29, issue 3  

页码: 273-280

 

ISSN:0148-6055

 

年代: 1985

 

DOI:10.1122/1.549791

 

出版商: The Society of Rheology

 

数据来源: AIP

 

摘要:

Stress relaxation in shear has been measured at 25°C for a polyisobutylene sample with viscosity average molecular weight7.7×105,at shear strains γ from 0.2 to 0.5, over a time scale from102to104.5 s.In this range, the relaxation modulusG(γ;t)could be expressed by the productG(0;t)h(γ);atγ=0.5,h=0.76.Simultaneous measurements of the differential storage and loss shear moduli,G′(ω,γ;t)andG″(ω,γ;t)were made throughout the relaxation process by intermittently superposing small oscillating deformations with a maximum additional strain of 0.01, at a frequency of about 0.33 Hz, which falls in the middle of the plateau zone of the polymer. Forγ=0.2,G′andG″remained unchanged from their values at zero static strain,G′(ω,0)andG″(ω,0)respectively, confirming that the density of entanglements (or topological obstacles, or temporary network junctions), remains constant throughout the relaxation process at small strains. At higher strains,G″was nearly constant, butG′was somewhat smaller at the first measurement after imposition of static strain and slowly recovered to its original zero‐strain value. The behavior could be qualitatively interpreted by the Doi theory which includes both an equilibration process characterized by a timeτeand a disengagement process characterized by a timeτd;the decrease inG′would correspond to loss of entanglements by the contraction of stretched molecules during equilibration and the subsequent increase to reestablishment of new entanglements by reptation during disengagement.

 

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