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question in fracture

I am trying to answer the following question :

Why there might be significant scatter in the fracture strength for some given ceramic material and why fracture strength increases with decreasing specimen size ?

any input qwould be appreciated.
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c_hockland
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c_hockland
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1 Solution
 
aburrCommented:
Ceramic material is not very uniform.
In a small sample there is less chance of having a microscopic crack.
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c_hocklandAuthor Commented:
Aburr , is there any equation ( i guess with the size in the denominator) that shows that as the denominator decreases the result increases ?
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aburrCommented:
"is there any equation"
no. There are too many different kinds of ceramic.
The ceramic for cooking pots is quite different from the ceramic on heat shield tiles for the shuttle.
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aburrCommented:
you could try
strength = k*(1 + c*e^(-size))
On the other hand it probably is not worth the effort to use that equation.
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c_hocklandAuthor Commented:
i was thinking something like this...see attached
Untitled.png
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aburrCommented:
Probably better than mine
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dhsindyRetiredCommented:
In materials lab mixing and curing concrete under ideal conditions shows that the breaking strength of samples varies widely.  I couldn't have been more amazed when I took this class.  I would be surprised if ceramics are more uniform.
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