How to find variation of modulus of rubber with temperature?

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Temperature significantly affects the modulus of rubber, as it behaves similarly to an ideal monoatomic gas, with elastic polymers not storing potential energy in stretched bonds. Instead, the work done on rubber is converted into thermal energy, influencing its elasticity. As temperature increases, the modulus of rubber typically decreases, leading to greater flexibility. The mathematical expression relating temperature and modulus can be derived from the Arrhenius equation, which describes the temperature dependence of material properties. Understanding these effects is crucial for applications involving rubber materials.
NIkhil Sharma
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I want to know the what is the effect of temperature on modulus of rubber, mathematical expression will be helpful
 
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NIkhil Sharma said:
I want to know the what is the effect of temperature on modulus of rubber, mathematical expression will be helpful

Rubber which is an elastomer behaves somewhat like an ideal monoatomic gas,
inasmuch as (to good approximation) elastic polymers do not store any potential energy in stretched chemical bonds or elastic work done in stretching molecules,
when work is done upon them. Instead, all work done on the rubber is "released" (not stored) and appears immediately in the polymer as thermal energy.
see for details https://en.wikipedia.org/wiki/Rubber_elasticity
The Effect of Temperature on Rubber Band Elasticity
tuhsphysics.ttsd.k12.or.us/Research/IB10/RajeJaneHerm/index.htm
The Effect of Temperature on the. Elasticity of a Rubber Band. By: Anu Rajendran, Lauren Janes, Amanda Hermens. http://www.ikon-gallery.co.uk/Repository/ .
 
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