Is there a way to find out the theoretical stretch of an elastic band?

AI Thread Summary
The discussion focuses on finding a theoretical method to calculate heat dissipation in elastic bands during stretching, particularly when traditional methods like Hooke's Law are inadequate due to non-linear extensions. The experimenter has already measured heat dissipation experimentally and seeks to create a graph of theoretical loading and unloading lengths. There is consideration of using Poisson's ratio for rubber, but uncertainty remains regarding the appropriate formula. The complexity of the calculations may exceed the experimenter's current level of expertise. Overall, the thread highlights the challenges of applying theoretical models to non-linear elastic materials.
kodadra
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I'm in the middle of doing an experiment where I find the heat dissipation by hysteresis through the stretching of an elastic band. I have experimentally found out how much heat is dissipated, but I was wondering if there is a way to theoretically find out the dissipated heat, most likely by creating a graph of the theoretical lengths of loading and unloading. The elastic bands are stretched with great forces, so they have non-linear extensions thus Hooke's Law doesn't work. Are there any other possible solutions?
 
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I thought I could possibly use Poisson's ratio for rubber to calculate it, but I'm not sure what formula I could use. This might even just be too complicated for my level right now.
 

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