How Do Maxwell Elements in Parallel Derive Force Elongation Relationships?

AI Thread Summary
The discussion focuses on deriving the force elongation relationship for Maxwell elements in parallel to subsequently apply it to Kelvin-Voigt elements in series. The user is struggling with the derivation presented in their material, particularly with the powers of the differentials in equation 2.93. They find the left-hand side of the equation manageable but are confused about the right-hand side, believing it should simply equal D Delta. The user seeks clarification and assistance in understanding this derivation process. Overall, the thread highlights a common challenge in grasping complex mechanical relationships in material science.
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Homework Statement


Not sure this is the right place for this but here it goes...
I am trying to figure out the derivation of the force elongation relationship of the maxwell elements in parallel in order to derive it for the Kelvin Voigt elements in series.
I have attached the material that I am using, the derivation is on page 47 and I can't seem to figure out how they get the different powers of the Differentials in 2.93. The lefthand side I can easily derive, but as far as I can tell the right hand side should just be = D Delta.

It is probably really simple, but my mind is going blank at the moment.

Hope someone can help me
 

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out here.Homework Equations 2.93F = D * Delta^nThe Attempt at a SolutionI have been trying to solve this for some time now, but I can't seem to figure out how they get the different powers of the Differentials in 2.93. The lefthand side I can easily derive, but as far as I can tell the right hand side should just be = D Delta.
 
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