Viscoelastic Models: Analyzing Relaxation & Creep Data

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SUMMARY

The discussion centers on the analysis of relaxation and creep data for a solid polymer using viscoelastic models. Lonnie successfully applied the Prony series derived from the generalized Maxwell equation to both relaxation and creep data, achieving good fits. Experts confirm that if the time scales for deformations are consistent and the deformations are small, the same model can be validly applied to both datasets. The importance of ensuring small deformations and considering shear data from Dynamic Mechanical Analysis (DMA) is emphasized for model validation.

PREREQUISITES
  • Understanding of viscoelasticity and constitutive models
  • Familiarity with the Prony series and generalized Maxwell equation
  • Knowledge of creep and relaxation testing methods
  • Experience with Dynamic Mechanical Analysis (DMA) techniques
NEXT STEPS
  • Research the application of the generalized Kelvin Voigt model for creep analysis
  • Explore the implications of using the Prony series for different types of polymer deformation
  • Investigate the role of Dynamic Mechanical Analysis (DMA) in validating viscoelastic models
  • Study the effects of large versus small deformations on viscoelastic behavior
USEFUL FOR

Material scientists, polymer engineers, and researchers involved in the analysis of viscoelastic properties of materials will benefit from this discussion.

La82
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Hi everyone,

So I have a set of relaxation data and creep data for a solid polymer that I want to analyse. In the relaxation I use the Prony series derived from the generalized maxwell equation (incl a spring) and get a very nice fit. My question is if I should use the same to model the creep? Or should I use the generalized Kelvin Voigt?

I have applied the prony series to the creep data and can get a good fit, but I am a bit confused as to the validity of using this model on creep data.

Hope someone can help me with this,

Lonnie
 
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The constitutive model is supposed to be independent of the specific deformation. I assume you are using a linear model valid for small deformations. Make sure that the deformations are small. The relaxation data is in shear? Any DMA shear data? That should help test the model to.

Getting back to your original question, if the time scales for the deformations are the same and the deformations are small, then the model fit to the relaxation data should also apply to the creep data.
 

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