Practical Differences Between Linear and Non-Linear Viscoelasticity

Introduction to Linear and Non-Linear Viscoelasticity

This article covers differences between linear and non-linear viscoelasticity. Most engineers are familiar with linear viscoelasticity, and perhaps also how to use linear viscoelasticity in a FE simulation. But most engineers are not as familiar with non-linear viscoelasticity. In this article I will try to explain some of the practical differences between these two model types. One key take away is that it is as easy to use a non-linear viscoelastic material model (like the Bergstrom-Boyce model) as it is to use a linear viscoelastic model.

Linear Viscoelasticity

Non-Linear Viscoelasticity


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2 thoughts on “Practical Differences Between Linear and Non-Linear Viscoelasticity”

  1. Hi Gorgen,

    I am confused about the definition of linear viscoelasticity. The linear viscoelasticity should obey: E(t)=sigma(t)/epsilon0; Obviously, hyperelastic response+stress relaxation modulus does not satisfy the definition of linear viscoelasticity.
    Is there no consistency for the definition of linear viscoelasticiy?


  2. You can define linear viscoelasticity as either: (linear elastic) + (Prony series), or (hyperelastic) + (Prony series). I prefer the second definition, since it is more useful in practice.

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