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

Integration of this equation then results in,

     (11.4a)

Or,

     (11.4b)

Substitution of equation 7.4b in 7.2a then results in,

     (11.5)

 

Again notice that the middle term of the right hand side of the last equation is smaller than the other terms, which result in following simplification,

     (11.6)

Integration of equation 7.6, with respect to yields the following expression,

     (11.7)

We can use the following boundary conditions,

  at ,   
 at 

  

Resulting in following simplifications,