underworldcode
Analytical solution of the viscoelastic simple shear model
Hi guys,
I have some doubts about the analytical solution of the viscoelastic simple shear model (11_ViscoelasticityInSimpleShear in the example directory). I wonder how the analytical solution is derived.
Based on the information given and the descriptions in Farrington et al., 2014, I think the governing equation for the simple shear example is a first-order non-homogeneous linear ordinary differential equation (See the picture attached below). The analytical solution can be easily deduced, and the solution I derived is very different from that shown in the example or that in Farrington et al., 2014.
There is no reference for the deduction in 11_ViscoelasticityInSimpleShear or in Farrington et al., 2014. Could anyone give more information about this viscoelastic simple shear model? Thanks a lot.
\mu t / \eta in that last line, right ?
I can have a look. I don’t have access to my notes this weekend
Sent from my iPhone
On 16 Sep 2022, at 5:43 pm, tingyang2004 @.***> wrote:
Hi guys,
I have some doubts about the analytical solution of the viscoelastic simple shear model (11_ViscoelasticityInSimpleShear in the example directory). I wonder how the analytical solution is derived.
Based on the information given and the descriptions in Farrington et al., 2014, I think the governing equation for the simple shear example is a first-order non-homogeneous linear ordinary differential equation (See the picture attached below). The analytical solution can be easily deduced, and the solution I derived is very different from that shown in the example or that in Farrington et al., 2014.
There is no reference for the deduction in 11_ViscoelasticityInSimpleShear or in Farrington et al., 2014. Could anyone give more information about this viscoelastic simple shear model? Thanks a lot.
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Thanks @lmoresi . Yes, you are right. -\mu t / \eta. The dimensions are not consistent for eta t / \mu.