Dear Animesh,

Let me preface my suggestion by saying that you can introduce some heterogeneity in more than one way. That is, you're not bound to using a material ID (which is what I'm going to suggest), but you could use some geometric arguments to determine which class or material properties should dictate the constitutive response at a continuum point. You also need not use the class-based structure that this code galley example has. There are other tutorials (e.g. step-8) that use Functions that return the material coefficients at any point in space. So you should keep that in mind as you read my suggestion.

In my opinion, the simplest approach would be the following:

1. The PointHistory::setup_lqp() function <https://github.com/dealii/code-gallery/blob/master/Quasi_static_Finite_strain_Compressible_Elasticity/cook_membrane.cc#L720-L724> is the point at which the constitutive law at some quadrature point is set. So you should extend this function in some way to make a decision about which material it is in, and what the material law at that point is. The first thing that you might do is add an argument for the material ID, and then choose constiutitve parameters based on the material ID. You'll note that the concrete constitutive law is stored in a pointer. This makes it easy to extend to support other constitutive laws, because you can for example abstract the Material_Compressible_Neo_Hook_One_Field class into some base class and other classes (maybe a Material_Compressible_Mooney_Rivlin_One_Field) and then, based on the material ID, select which constitutive law is applied at that quadrature point. 2. The PointHistory::setup_lqp() function is called from Solid::setup_qph() <https://github.com/dealii/code-gallery/blob/master/Quasi_static_Finite_strain_Compressible_Elasticity/cook_membrane.cc#L1203-L1211> , and more specifically inside a loop over all cells. Its possible to retrieve the cell->material_id() or cell->center() (or, if you create a quadrature rule to help you then you can get the actual position of the quadrature point if you want such granularity). You can then pass this information in to PointHistory::setup_lqp() to help decide which constitutive law / parameters to apply. If using the material ID then you will, of course, want to set the material ID when building or reading in your triangulation.

That is, at least, how I typically do things when using this code as a basis for extension. I hope that this helps you introduce heterogeneities into your problem!

Best,
Jean-Paul

On 26.10.20 08:15, Animesh Rastogi IIT Gandhinagar wrote:
Hello All,

I am trying to solve the wrinkling problem of a thin stiff film attached to a soft substrate in dealii. I am using the code - from the code gallery for this purpose. For the simulations, I would have to consider the film and the substrate with different material properties.

I understand that I would have to do something within the class Qudrature point history. However, I am getting a little confused on how to approach it. It would be great if someone could help me with this.

This is the code that I am using for this purpose - https://dealii.org/developer/doxygen/deal.II/code_gallery_Quasi_static_Finite_strain_Compressible_Elasticity.html <https://dealii.org/developer/doxygen/deal.II/code_gallery_Quasi_static_Finite_strain_Compressible_Elasticity.html>

Thanks!

Animesh

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