This is the second time you've asked.
What have you found from your previous query? I'd really like to know.
When you refer to "mechanical properties" which properties do you
mean? Low stress modulii will be much less sensitive to microscopic
details than will strengths.
As far as modulii are concerned, the Hashin bounds have a theoretical
justification and usually work pretty well in practice.
The Halpin-Tsai equations work pretty well for fiber composite modulii
but are empirical so you've got to have measured data to use them.
How do real data for mortars compare with these models?
Earlier I tried to point out that the effects of porosity or spherical
inclusions in complex system like mortars may depend on relative sizes
of the inclusions even for modulii.
In the case of very large bubbles the cement + aggregate will act as a
continuous matrix phase while the bubbles act as inclusions.
In the case of very small bubbles, the cement + bubbles will act as a
continuous matrix phase while the aggregate particles act as
I'm not sure this makes any difference in the Hashin approach; Again,
what do the data show?
Contact me directly if you like.
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