Linear Elastic Fracture Mechanics

[Francesca Fantoni]

Good morning everyone,

I am currently working on crack tracking algorithms in the context of Linear Elastic Fracture Mechanics for three dimensional problems.

I was wondering if in deal.ii  there exists any code gallery related to the implementation of quarter-point elements and the computation of SIFs along the Crack front.

Alternatively if there exists some code related to the use of X-FEM for fracture mechanics.

I am not able to find any code related to these problems...I found some codes related to the use of the phase field method in fracture mechanics, but we are interested in using a different approach to model the presence of the crack.

Could anyone kindly guide me?

Thanks very much

Francesca

[Wolfgang Bangerth]

Francesca,

I don't have much to contribute to this, but you may want to look at some of
the articles here:
http://journals.ub.uni-heidelberg.de/index.php/ans/issue/archive
In particular the article by Carraro and Wetterauer.

Best
W.

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Wolfgang Bangerth email: bang...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/

[Denis Davydov]

Hi Francesca,

As for the continuous enrichment part of X-FEM (i.e. crack-tip) you can look into FE_Enriched class and the paper with implementation details. 

Note the key difference in point-of-view: FE_Enriched does cell-based enrichment, i.e. all nodes will be enriched the same way 

with given function(s). One can still mix things with FE_Nothing to have different enrichment with different parts of the domain to

get conforming FE space. This PR from my student will make it easier to do. 

For the discontinuous part (Heaviside) FE_Enriched might be ok as well, but I guess in this case construction of quadrature rule and integration is the major PITA.

Regards,

Denis

[Francesca Fantoni]

Thanks very much to both of you!

I'll have a look to what you have suggested.

Thanks again  very much

Francesca

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