39_High Order Example

Continuing from the previous post(38_High Order Shape Function), I intend to solve an example.

 

 

The $B$ matrix and the $Jacobian$ could be calculated as follows.

 

 

Substituting this into the stiffness matrix equation,

 

 

For ease of integration, simplifying yields the following.

 

 

Calculate it..

 

 

 

Therefore, the stiffness matrix can be expressed as follows.