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Up: 1 Numerical implementation of G.A. FRANCFORT and J.-J. MARIGO formulations for stable damage and brittle fracture.

1.3 State of the art

During the two weeks of collaboration, during the summer session on CEMRACS 97, an implementation strategy has been elaborated :

The first step would be to implement the fracture model in the bi-dimensional case, according to the hypothesis of a damaged material, while the second one would be to project the result of each program, so as to be readable by the other one.

Both numerical scheme use finite element method - based resolution, with some slight difference in the numerical problems and tricks.

For the damage model, a quadrangular mesh is used with no particular dependency of the results upon the mesh, while fracture model requires triangular elements, with mesh effect for the fracture result and a drastic convergency criterion, forcing us to use very fine grids.

The first step has been achieved , while the second one remains to do.


Christophe Prud'homme

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