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State-of-the-art understanding of cracking for porous materials?

It seems there are quite a few experimental studies [1,2] on the fracture properties of porous materials, like nanoporous low-k dielectrics, as a function of porosity. Can anyone point out some references on the theoretical part, like the available models, computational methods or analytical approaches that can capture microstructure information, including porosity, pore geometry etc. Interface delamination of porous materials is also of interest. Thanks.

1.Wagh, A. S., J. P. Singh, et al. (1993). "Dependence of Ceramic Fracture Properties on Porosity." Journal of Materials Science 28(13): 3589-3593.
 
2.Guyer, E. P., M. Patz, et al. (2006). "Fracture of nanoporous methyl silsesquioxane thin-film glasses." Journal of Materials Research 21(4): 882-894.

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Ting Tsui's picture

A few papers about porous organosilicate glass or carbon doped oxides are on this site

http://www.seas.harvard.edu/vlassak_group/

Mark O'Neill of Air Products and Chemicals published some interesting works in MRS Spring 2006 and 2007 (both invited).

Dauskardt's Group at Stanford U has a few good papers also.

Robert F Cook has some classic papers on porous thin film cracking in the early 90s.

TT  

For micro/nanostructure modelling for constituitive behavior; I would start with Ashby & Gibson's book on porous media and see who has referenced that in the context of fracture. It is certainly possible the work in foams and concrete could be much more advanced in this respect than what has been done for the low-k films.

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