Module 2 : Solid bodies in contact with and without interactions
  Lecture 11 : Compression of an elastic film sandwiched between two rigid parallel plates
 

Differentiation of with respect to yields

 

Finally, is obtained as,

(11.14)

And as,

(11.15)

at which gives, , which finally gives,



(11.16)
(11.17)

Now, we differentiate and with respect to and

(11.18)

And add them up,

(11.19)