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    I just don't get it. How does it relate to the graph and why are there two lines????
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    One is on the way up and the other is on the way down. Hysteresis simply means that the exact route the system takes depends which direction you are going.

    In terms of rubber, I assume it is a stress/strain graph or a force/displacement graph? So what it is saying is that once you have stretched the rubber, it takes a little while for it to regain its springiness.
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    You see, hysteresis is a path-dependent memory system. (What the hell does this even mean?!) It means that the path the system takes from A->B is different than going back from B->A.

    Consider stretching a piece of rubber - you know rubber does not have perfect elasticity (perfect elasticity and non-hysteresis 's a special case where the rubber returns to its original state completely, with the same path taken to stretch it)

    Rubber does not completely return 'unbend' itself after you release the stress on it, all the more it does not take the same path back! I hope this helps.
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    Think about it as getting to school. In the morning there's alot of traffic so you decide to cycle from home to school. After school the traffic lessens, so you decide to take the bus home.

    Both cases you got from home to school and school to home, only by different means.

    (Now what about non-perfect elasticity? :P)
 
 
 
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