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Prony Series

Viscoelastic material modeling

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Hello,

I have a question regarding viscoelastic materials and property definitions through prony series.

If i am not wrong ,the values wi and τi of the series can be expressed either in terms of time domain or frequency domain.

Having the prony series expressed at time domain, how can the relaxation tensor be expressed? Do i still need to perform

Laplace-Carson transformation, of the time dependent relaxation and creep functions or their prony series expression is enough,

so i can get the full relaxation tensor (isotropic case) as:

 

Viscoelastic (generalized maxwell) model in MSC.Marc or ABAQUS

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Greetings all,

I am trying to use gerenalized maxwell viscoelastic model for polyimide polymer films (Kapton) in MSC Marc (or ABAQUS). I have never used the prony series representation of the maxwell model (hereditary integral approach). Has anyone ever used MSC Marc to incorporate the prony series relaxation to the material? or ABAQUS? Here is my game plan for doing this:

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