Viscoelastic creep compliance using prony series and spectrum function approach

Jutima Simsiriwong, Rani W. Sullivan, Harry H. Hilton

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The objective of this study is to compare the viscoelastic material property of a vinyl ester (VE) resin using (1) the generalized 3-D viscoelastic constitutive equation with a Prony series representation and (2) a spectrum function model. The Prony series representation of the Generalized Kelvin model (GKM) is used to determine the Prony series coefficients through the linear least squares (LSQ) method. The Elastic-Viscoelastic Correspondence Principle (EVCP) and the Laplace transform are used in the spectrum function approach, which utilizes a carefully selected distribution function that has the potential to describe a wide range of materials. Short-term unidirectional tensile creep experiments are conducted at two stress levels and at four temperatures below the glass transition temperature of the VE polymer. Experimental strains in both the longitudinal and transverse directions and the applied stress are measured using the digital image correlation (DIC) technique. The measured data is subsequently used to determine the creep compliance function for each test configuration. The potential and limitations of each modeling approach are discussed.

Original languageEnglish (US)
Title of host publicationChallenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials - Proceedings of the 2012 Annual Conference on Experimental and Applied Mechanics
Number of pages12
StatePublished - 2013
Event2012 Annual Conference on Experimental and Applied Mechanics - Costa Mesa, CA, United States
Duration: Jun 11 2012Jun 14 2012

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644
ISSN (Electronic)2191-5652


Other2012 Annual Conference on Experimental and Applied Mechanics
Country/TerritoryUnited States
CityCosta Mesa, CA


  • Constitutive viscoelastic relations
  • Creep
  • Material property characterizations
  • Spectrum function
  • Viscoelasticity

ASJC Scopus subject areas

  • General Engineering
  • Computational Mechanics
  • Mechanical Engineering


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