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nonhardening material

What is the meaning of nonhardening Material

I am getting confused with a definition of nonhardened Material as I read the book Fracture Mechanics written by T.L. Anderson.
I got two understandings and am not sure which one is right.
1)    Material with lower yield strenth, which was not work-hardened.
2)    d(stress)/d(strain) = 0 after yielding.

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