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A Combined Exponential-Power-Law Method for Interconversion between Viscoelastic Functions of Polymers and

Vitor Dacol1, Elsa Caetano1, João R Correia2

  • 1CONSTRUCT (ViBEST), Faculty of Engineering (FEUP), University of Porto, 4200-465 Porto, Portugal.

Polymers
|December 19, 2020
PubMed
Summary

This study simplifies determining polymer viscoelastic properties. It presents a new method to calculate relaxation modulus from creep tests, reducing experimental costs and effort for materials science applications.

Keywords:
creep and relaxationinterconversionmechanical analysismechanical characterizationstages of creepstructure–property relationshipsviscoelasticity

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Area of Science:

  • Materials Science
  • Polymer Science
  • Mechanical Engineering

Background:

  • Viscoelastic behavior of polymers is crucial for long-term mechanical applications.
  • Characterizing viscoelasticity traditionally requires separate creep and relaxation tests.
  • Existing methods for interconverting creep and relaxation data can be complex.

Purpose of the Study:

  • To review methods for interconverting creep compliance and relaxation modulus.
  • To introduce a novel, approximate interconversion scheme.
  • To demonstrate the accuracy and applicability of the new method.

Main Methods:

  • Review of existing time-domain interconversion techniques.
  • Development of a new approximate interconversion scheme using Laplace transform and approximated Gamma function.
  • Validation using diverse experimental data from scientific literature.

Main Results:

  • The relaxation modulus can be accurately derived from creep compliance data.
  • The proposed method offers ease of implementation and broad applicability.
  • Experimental data confirms the accuracy of the new interconversion scheme.

Conclusions:

  • The new method simplifies the determination of viscoelastic properties for polymers.
  • It enables obtaining relaxation modulus from less costly creep tests.
  • This approach is valuable for modeling polymer behavior under various mechanical loads.