Viscoelastic Creep Compliance Using Prony Series and Spectrum Function Approach

  • Jutima Simsiriwong
  • Rani W. Sullivan
  • Harry H. Hilton
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


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.


Viscoelasticity Constitutive viscoelastic relations Spectrum function Material property characterizations Creep 


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Copyright information

© The Society for Experimental Mechanics 2013

Authors and Affiliations

  • Jutima Simsiriwong
    • 1
  • Rani W. Sullivan
    • 1
  • Harry H. Hilton
    • 2
  1. 1.Department of Aerospace EngineeringStarkvilleUSA
  2. 2.Department of Aerospace Engineering, College of Engineering and Private Sector Program Division, National Center for Supercomputing ApplicationsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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