Dear Abdelrahman,

To add to some further details to what Konrad has already provided:
- the step-44 tutorial 
<https://www.dealii.org/current/doxygen/deal.II/step_44.html> implements one of 
many incompressible elasticity formulations. There is also the Quasi-Static 
Finite-Strain Quasi-incompressible Visco-elasticity 
<https://www.dealii.org/current/doxygen/deal.II/code_gallery_Quasi_static_Finite_strain_Quasi_incompressible_ViscoElasticity.html>
 code gallery example that implements a linear viscoelastic model in 
combination with near-incompressible material behaviour.
- the Quasi-Static Finite-Strain Compressible Elasticity 
<https://www.dealii.org/current/doxygen/deal.II/code_gallery_Quasi_static_Finite_strain_Compressible_Elasticity.html>
 code gallery example implements a more traditional finite strain elasticity 
formulation, which could also be a basis for extension to other 
incompressibility formulations.
- the (new) step-71 tutorial 
<https://www.dealii.org/current/doxygen/deal.II/step_71.html> introduces some 
useful techniques that can be applied to modelling complex constitutive laws. 
As a part of this tutorial, a magneto-viscoelastic constitutive law is 
implemented and verified.

If you have a look at the “Applications” tab on the top of the home page 
(https://www.dealii.org/ <https://www.dealii.org/>), then you can see some of 
the libraries that are built on top of deal.II — some of these include some 
interesting and challenging constitutive laws. You can also look to those for 
inspiration on how to implement your constitutive laws within a finite element 
framework.

Best,
Jean-Paul

> On 19. Jun 2021, at 23:38, Konrad Simon <[email protected]> wrote:
> 
> Dear Abdo,
> 
> I do think that Deal.II can help you with solving your problem. If you are 
> just starting with Deal.II have a look at the tutorials 
> <https://dealii.org/developer/doxygen/deal.II/Tutorial.html>. It is always a 
> good idea to start with some code basis that other people have shared and 
> that was thoroughly tested. As to your future problem, please have a look at 
> the code gallery 
> <https://dealii.org/developer/doxygen/deal.II/CodeGallery.html> as well. 
> There are codes that other users shared dealing with visco-plastic materials, 
> in particular (but not only Jean-Paul).
> 
> Cheers,
> Konrad
> 
> On Saturday, June 19, 2021 at 10:23:37 PM UTC+2 [email protected] 
> <http://ncsu.edu/> wrote:
> Hi
> I am Abdo, Ph.D. student at NC state university and was looking for a FE 
> package library that is flexible and can be used in modeling and analyzing 2D 
> and 3D elastic wave equation propagation within an incompressible medium. 
> Also, at some point, I might need to add the viscoelastic behavior to the 
> model. So, I am not sure if deal.II is flexible enough to add, modify some 
> feature in it or not such that I can do what I have mentioned earlier. So, 
> Can you please give me some pointers or advice regarding this?, your help is 
> much appreciated.
> 
> Best regards.
> Abdo.
> 
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