Why Maxwell and Kelvin-Voigt model fail to represent a solid

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SUMMARY

The discussion centers on the limitations of the Maxwell and Kelvin-Voigt models in accurately representing solid materials. The Maxwell model fails to demonstrate strain recovery, categorizing it as a fluid model, while the Kelvin-Voigt model, despite showing strain recovery, does not quantitatively describe solid behavior. To effectively model viscoelastic properties, a more generalized approach is necessary. The conversation also touches on the numerical implementation required to transition from elastic to viscoelastic modeling.

PREREQUISITES
  • Understanding of viscoelasticity in materials science
  • Familiarity with Maxwell and Kelvin-Voigt models
  • Basic knowledge of numerical modeling techniques
  • Experience with material property characterization
NEXT STEPS
  • Research advanced viscoelastic models beyond Maxwell and Kelvin-Voigt
  • Explore numerical methods for implementing viscoelastic models
  • Study the mathematical foundations of strain recovery in materials
  • Investigate software tools for simulating viscoelastic behavior
USEFUL FOR

Researchers and engineers in materials science, particularly those focused on modeling the mechanical properties of biological tissues and other viscoelastic materials.

zoala001
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Hi

I m studying modelling the viscoelastic passive properties of vascular walls and there is question!

Why does Maxwell andKelvin-Voigt fail to represent a solid?
and also
what steps are required from a numerical point of implementation point of view , are required to turn an elastic model into a viscoelastic model?
 
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zoala001 said:
Hi

I m studying modelling the viscoelastic passive properties of vascular walls and there is question!

Why does Maxwell andKelvin-Voigt fail to represent a solid?
Maxwell model does not exhibit strain recovery, even at small strains, so it is usually thought of as a fluid model. Kelvin-Voigt does exhibit strain recovery, so qualitatively, it behaves like a solid. However, neither of these models describes the behavior of fluids or solids quantitatively. To do that at small strains, one needs to use a more general form of these models.

and also
what steps are required from a numerical point of implementation point of view , are required to turn an elastic model into a viscoelastic model?
I don't understand this question.

Chet
 

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