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A New Viscoelasticity Dynamic Fitting Method Applied for Polymeric and Polymer-Based Composite Materials.

Vitor Dacol1, Elsa Caetano1, João R Correia2

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

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Summary
This summary is machine-generated.

This study introduces a simple Exponential-Power Law Method (EPL) to analyze viscoelastic properties of polymeric composites. The method efficiently converts between creep compliance and relaxation modulus, crucial for material characterization.

Keywords:
creep and relaxationdynamic behaviourdynamic mechanical analysisinterconversionloss factorstorage modulusviscoelasticity

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Area of Science:

  • Materials Science
  • Polymer Science
  • Mechanical Engineering

Background:

  • Accurate analysis of polymeric composite structures requires understanding time-dependent deformation and dynamic behavior.
  • Characterizing viscoelastic properties under static or dynamic loading is essential for material analysis.
  • Creep compliance, relaxation modulus, complex modulus (E*), and loss factor (η) are key viscoelastic parameters.

Purpose of the Study:

  • To propose a powerful and simple technique for processing and analyzing dynamic mechanical data of viscoelastic materials.
  • To demonstrate the Exponential-Power Law Method (EPL) for interconverting between quasi-static and dynamic material behavior.
  • To derive an EPL approximate interconversion scheme for converting creep compliance to relaxation modulus and obtaining complex moduli.

Main Methods:

  • Utilizing the Exponential-Power Law Method (EPL) for creep compliance and relaxation modulus functions.
  • Applying Carson and Laplace transform functions and their relationship to Fourier transform.
  • Employing the Theorem of Moivre for dynamic moduli expression derivation.
  • Developing mathematical interconversion techniques between time-domain functions (E(t), D(t)) and frequency-domain complex moduli (E*).

Main Results:

  • The proposed EPL method provides a straightforward technique for processing dynamic mechanical data.
  • The method facilitates efficient interconversion between quasi-static (creep compliance, relaxation modulus) and dynamic (complex modulus) material properties.
  • The EPL method's utility is validated using experimental data from existing literature.

Conclusions:

  • The Exponential-Power Law Method (EPL) offers a simple and effective approach for characterizing the viscoelastic behavior of polymers and composites.
  • The EPL method simplifies the interconversion between different viscoelastic material functions, aiding in comprehensive material analysis.
  • This technique is valuable for accurately predicting the long-term performance and dynamic response of polymeric composite structures.