How to set up Pre-tensioned line?

Hi,

I need to run a simulation of a pre-tensioned polymer filament line anchored with 10 psi on either end.  Once anchored/pre-tensioned, two blocks with a sinusoidal pattern facing the line will compress the line so that the polymer line takes the sinusoidal shape of the blocks.  My goal is to identify a material or geometry (i.e. ribbing, etc...the blocks will be molded in plastic) that will not deflect more than a few thousandths of an inch (the line is ~1/16" dia) when compressing the line (i.e. that will actually compress the line into the complete sinusoidal pattern shown below). 

The green line below represents what is being compressed/shaped into the sinusoidal pattern.  The long gray blocks are the molded plastic parts that compress the line.  The yellow blocks on top and bottom represent where the load is applied to the gray blocks.  The red blocks on either end represent where the line is held rigid (fixed to ground...with 10 psi).  The first image shows the assembly in its loose state; the second image shows what it should look like when the green line has been fully compressed.

What is the best way to set up something like this?  I only have SW Premium (i.e. linear simulation....not nonlinear).  Can I simply put a pressure load on either end of the green line, then add an advanced displacement fixture on the gray blocks in the amount they need to travel to theoretically fully compress the green line (i.e. vertical distance between sin waves minus 1xgreen diameter)?  ....and of course add a "no-penetration" connection....  Any other ideas for how to correctly set this up?

SolidworksSimulation