Hi,
XFEM is a local partition of unity (PUM) enriched finite element method. By local, it means that only a region near the discontinuties such as cracks, holes, material interfaces are enriched. The most important concept in this methodis "enrichment" which means that the displacement approximation is enriched (incorporated) by additional problem-specific functions.
But, my question is that suppose if I am using this method to model material like concrete-how do I know the location of the crack?How do I know the how/where the crack propogates so that an enrichment could be applied?
Using LevelSet
I think you can find some papers about xfem coupling level set method.
The level set method can give you the distance function of each position from the interface. If your FE model is modeled from the image, you can employ ITK to do the LevelSet segmentation to get the distance function of each pixel from the crack interface or the material interface. For the other cases, perhaps you will caculate the distance fuction yourself.
There are some papers about this application.You can search papes with keywords xfem, level set.
I think you can find some information from the website below:
http://www.xfem.rwth-aachen.de/Background/Introduction/XFEM_Introductio…
http://www.xfem.rwth-aachen.de/Background/Gallery/XFEM_Gallery.php
In reply to Using LevelSet by lianweidong
Thanks
Thanks very much for the response