Dear Seyed Ali,

On 04/01/2017 01:19 PM, 'Seyed Ali Mohseni' via deal.II User Group wrote:
Dear Thomas,

Thank you. I checked the values and they are similar.

Good.


Within your predictor-corrector approach, I assume that you somehow exchange data between each step in order to be able to interpolate the old solution.

Yes. But here we use the functionality that is already very well-developed in deal.II.

Am I able to use the same functions to store energy data in each Gauss point within each element? Or am I forced to implement and use the quadrature point history approach from step-18? Due to the storage of all the values in each element, the computation becomes inefficient. It would be nice to be able to access data anywhere and anytime. Actually, if you are using Miehe's approach I am confident that you will have to store the energy somewhere in order to find the maximum value of the energy. Is that true?

In principle you are right. If you use Miehe's approach with the strain-energy function to impose crack irreversibility, I would personally use the idea from step-18. We however, inspired by Miehe's other paper developed our own approach to impose the crack irreversibility constraint, namely by penalization. Either you really use penalization (simple, augmented Lagrangian, etc. see my other papers with Wheeler/Mikelic and Lee etc.) or you impose penalization by active set as down with Timo. But in all these approaches
we avoid indeed to store all energy values and create a history.


Best regards,

Thomas



Kind regards,
Seyed Ali

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