Analysis of the Relaxation Modulus of Spun Yarns

H. Liu, Xiaoming Tao, K. F. Choi, Bingang Xu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

33 Citations (Scopus)


In this paper, the relaxation modulus of a single spun yarn is modeled in terms of the relaxation modulus of the constituent fibers of the yarn. A generalized Maxwell model is employed to describe the viscoelastic characteristic function of individual fibers subject to a given step function of tensile strain. The thermal history is considered by a temperature-related reduced time by assuming a thermo-rheologically simple material. The physical ageing process of textile fibers is considered by introducing an ageing related reduced time for glassy semi-crystalline polymer fibers. The effect of humidity is ignored. The model is extended to consider relaxation moduli of fibers undergoing different initial strain levels. With this general relaxation model of fiber, the response of the yarn to a step function of the yarn tensile strain is calculated using a force analysis method and a discrete fiber modeling approach. Experimental validation shows that the prediction agrees reasonably well with the experimental data.
Original languageEnglish
Pages (from-to)403-410
Number of pages8
JournalTextile Research Journal
Issue number5
Publication statusPublished - 1 Jan 2010


  • ageing
  • reduced time
  • relaxation modulus
  • spun yarn
  • temperature
  • viscoelasticity

ASJC Scopus subject areas

  • Chemical Engineering (miscellaneous)
  • Polymers and Plastics


Dive into the research topics of 'Analysis of the Relaxation Modulus of Spun Yarns'. Together they form a unique fingerprint.

Cite this