question in fracture

Posted on 2011-03-07
Last Modified: 2012-08-13
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.
Question by:c_hockland
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LVL 27

Expert Comment

ID: 35064854
Ceramic material is not very uniform.
In a small sample there is less chance of having a microscopic crack.

Author Comment

ID: 35064873
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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Expert Comment

ID: 35064915
"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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LVL 27

Expert Comment

ID: 35065154
you could try
strength = k*(1 + c*e^(-size))
On the other hand it probably is not worth the effort to use that equation.

Author Comment

ID: 35065233
i was thinking something like this...see attached
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Accepted Solution

aburr earned 500 total points
ID: 35065459
Probably better than mine
LVL 16

Expert Comment

ID: 35113230
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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