Initial,post limit,secant stiffness

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Initial stiffness refers to the slope of the stress-strain curve at the beginning of loading, indicating the material's response to small deformations. Post-limit stiffness describes the reduced stiffness after yielding, where the material has already undergone plastic deformation, resulting in a lower slope on the stress-strain curve. Secant stiffness is defined as the slope of the secant line connecting the origin to the yield point, representing the overall stiffness up to that point. The discussion highlights confusion regarding the concept of post-limit stiffness and its significance in relation to material behavior after yielding. Understanding these stiffness types is crucial for analyzing material performance in engineering applications.
Sadeq
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Hello,

My question is simple, but it does confuse me.

I need to know the exact difference between
Initial stiffness,post limit stiffness, and secant stiffness in details please

Please clarify this on graph if possible

Thank you
 
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What have you looked up about these topics so far?
 
I know that initial stiffness is the tangential stiffness at the beginning and the secant stiffness represent, the secant line passing through 0,0 and the final point( yield point).But still confuse about the post limit stiffness, that way i asked for drawing to clarify them all at the same graph

Thank you
 
What limit is it that you think it refers to?
 
I don't know exactly that's why i am asking if anyone know about post stiffness concept.
Thank you
 
http://postimg.org/image/3n5smqb35/

in this picture a book mention that the post-limit stiffness of the component (upon yielding) is notably reduced in the case of the higher bolt grade(red line).

And i don't understand post stiffness.

Help me please
 
What is the significance of the slope of the stress strain curve before and after yield?
 
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