In reply to Thanks
In reply to Basic references
Thank you very much. It is a big help.
Can I ask how do you get the stress field in your project? FEM? I meet this problem when I am calculating the chemical potential of a void growing in a finite grain. I don't knwo what your model looks like, but I guess you may meet the same problem. Right now I'm trying to get the stress using traditional stress function method since the my model, represented as a rectangle within a circular hole, is not very complicated. Are you dealing your model using stress function too?
Regards
In reply to Critical Size of Stiff Islands on Stretchable Substrates due to Interface Delamination
There's no very relavent experiments available for comparison. But the calculation does match our theory quite well. Please pay attention to our upcoming paper. Thanks.
In reply to Critical Size of Stiff Islands on Stretchable Substrates due to Interface Delamination
Can your finite element calculations match with the theoretical predications, or experimental results, on the critical size of stiff islands?
1. Hutchinson 1996, Stresses and Failure Modes in Thin Films and Multilayers
2. Nix, 353 Class Notes on Thin Film Mechanics
3. Hutchinson and Suo 1992, Mixed mode cracking in layered materials
Actually we have a very good course of thin film fracture and delamination (ES 242r). Very completed resource there.
In reply to Critical Size of Stiff Islands on Stretchable Substrates due to Interface Delamination
Do you have any reference about that? Thanks.
Tianlei Li
In reply to Critical Size of Stiff Islands on Stretchable Substrates due to Interface Delamination
The length of the islands is in 100 micron and the thickness is in 1 micron. To be precise, we used continuum mechanics to analyze such structure and after normalization the thickness doesn't really matter. So the results will be valid for structures as small as continuum mechanics can apply.
I didn't do experiments to measure the interface toughness. What I did was to just provide the calculated energy release rate.
In reply to Typical Size
Is there any question of the validity of continuum mechanics in this scale? If it is questionable, then the finite element equations are need to be reformulated. How do you measure the interface toughness? -
Yuval
In reply to Critical Size of Stiff Islands on Stretchable Substrates due to Interface Delamination
Thanks. The typical size of an island is in micron-scale. To determine the critical size we have to know the interface toughness at given mode mixity and compare with our calculated driving force.
In reply to Critical Size of Stiff Islands on Stretchable Substrates due to Interface Delamination
Is it in the nano-scale or micron? --
Yuval
You are welcome.
I am now using the commercial FEM code ABAQUS v6.5 to do the calculation because it includes modeling and postprocessing capabilities for fracture mechanics analysis. I don't think ABAQUS is able to do chemo-mechanical coupled problems so you have to develop other feasible methods.