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nonlinear viscoelasticity

arash_yavari's picture

Nonlinear Anisotropic Viscoelasticity

In this paper we revisit the mathematical foundations of nonlinear viscoelasticity. We study the underlying geometry of viscoelastic deformations, and in particular, the intermediate configuration. Starting from the multiplicative decomposition of deformation gradient into elastic and viscous parts F=FeFv, we point out that Fv can be either a material tensor (Fe is a two-point tensor) or a two-point tensor (Fe is a spatial tensor).

Thermoviscoelasticity

Hi all,

I'm trying to model high temperature viscoelasticity using hypoelastic constitutive equations. I'm not sure of how to include the rotation tensor in the generalized viscoelastic equation.

kindly advise me.

Thank you very much.

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Modeling of ThermoViscoelasticity using Visco-Hypoelastic Constitutive equations

Hi all,

I'm trying to model high temperature viscoelasticity using hypoelastic constitutive equation. I'm not sure of how to include the rotation tensor in the generalized visco-hypoelastic constitutive equation.

Kindly advise me.

Thanks.

Taxonomy upgrade extras: 

Discrepancy of numerical results from analytical solution for an nonlinear viscoelasticity model

  I have written a Fortran code for nonlinear viscoelasticity according to the Hughes' recurrence algorithm based on a total Lagrangian formulation.  And a relaxation test is made. There is some deviation from the analytical solution(Theoretically the stress response should be an exponential decay plus a constant, isn't it?). The numerical ultimate stress is larger than the analytical one. As a larger initial strain is applied, the deviation is smaller. For a inital strain of 10%, there is almost no difference between the num. and analy. solution. What can account for this?

 

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