True/False: Plate Size & Fracture Stress

AI Thread Summary
The discussion centers on the fracture behavior of brittle materials, specifically comparing the tensile stress required for fracture in large versus small plates and the critical stress for internal versus surface cracks. It is posited that a large plate of a brittle material fractures at a higher tensile stress than a small plate, which aligns with the understanding that larger geometries can distribute stress more effectively. Additionally, the critical stress for a fracture of an internal crack of 1mm is suggested to be less than that for a surface crack of 0.8mm, based on the principle that smaller cracks may experience less strain before failure. The conversation also touches on the implications of crack geometry on critical stress intensity factors (KIc), indicating a need for further analysis of how different crack types and sizes influence fracture mechanics.
kpx001
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True or false: a large plate of a brittle material fractures at a higher applied tensile stress as compared to a small plate of the same material.

and
True or false: the critical stress for a fracture of an internal crack of length 1mm is less than the critical stress for fracture of the same material with a surface crack of length .8mm
 
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going by the the very basic equation for strain in any material being the change in length divided by the original length, if the stress on the object is constant then then the smaller the original length is, the less it'll strain before breaking.

I'm pretty sure about that, but I could also be horribly wrong, so my guess would be; True
 
kpx001 said:
True or false: a large plate of a brittle material fractures at a higher applied tensile stress as compared to a small plate of the same material.

and
True or false: the critical stress for a fracture of an internal crack of length 1mm is less than the critical stress for fracture of the same material with a surface crack of length .8mm
Can one determined the effects on critical stress intensity (e.g. KIc) and the stress intensity of the different situations/geometries?
 
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