Relationship between Von-mieses stress and chip breakage

I am doing thesis in setting up fracture criterion for Ck45 using
deform software.I want to know whether any mathematical relationship
between von-miese stress and chip breakage initation?.Is there any way
to calculate the chip breakage initiation?.
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A Ck45? That's a chip? A little more information might be in order.
There's certainly a relationship between stress and breaking, but it's mostly dependant on the material properties.
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David Harper

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