Elastomer stretched in tension and elongation

AI Thread Summary
The discussion focuses on calculating the relaxation time of an elastomer stretched in tension, using the Maxwell model. After 10 minutes, the tensile stress in the elastomer decreased by 12%, leading to the need for calculations based on the equation sigma(t) = sigma(0) e^(-t/tau). Participants are tasked with determining the relaxation time and demonstrating that it takes 22 minutes for the stress to drop to 75% of its final value. The conversation emphasizes the application of the Maxwell model to solve the problem effectively. Understanding the relationship between stress and time is crucial for accurate calculations.
tone999
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Homework Statement



A strip of elastomer was stretched in tension and elongation and was held constant. After 10 minutes the tensile stress in the specimen dropped by 12%. Assuming that the elastomer behaves in accordance with the maxwell model:

(i) Calculate the relaxation time (to the nearest whole number)
(ii) Show that it takes 22 minutes for the stress to drop to 75% of its final value.


Homework Equations





The Attempt at a Solution



I take it we have to use the maxwell model equation here?

sigma (t) = sigma (0) e ^ -t/tau
 
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tone999 said:

The Attempt at a Solution



I take it we have to use the maxwell model equation here?

sigma (t) = sigma (0) e ^ -t/tau

I think so. Based on the information in the problem statement, what is the ratio,

sigma(t) / sigma(0),​
when t=10 minutes?
 
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