Need Some Help Calculating Energy Transfer During Impact

[WakaShocka]

Hi PhysicsForums, first post!

So I was wondering how much energy would be absorbed by a shock absorbing material before it hit a vulnerable object. I've made a rudimentary sketch in paint to illustrate the situation.

I've calculated the Kinetic energy of the incoming object (let's call it X) and I want to know how much of that would go through to the fragile object (Let's call it Y). I know all the technical properties (tensile strength, thickness, density, all that good stuff) of the absorbing material and I've calculated the dynamic deflection/deformation that it would undergo when hit by X kinetic energy, but I'm just not sure how I would go about finding how much of that X kinetic energy would be absorbed by Y.

Any relevant formulas and methods would be greatly appreciated. For example, I know that thickness plays a part in how much energy is absorbed, and so does the deflection...but the formulas and how I would calculate how much of X is transferred to Y I'm clueless about.

P.S. the shock absorbing material and the object Y are connected via some sort of glue...I don't know if that makes a difference.

Thanks again!

 

[Simon Bridge]

This is the sort of thing that gets figured out by experiment.
That is because IRL there are so many things that can be important that there is no way to account for them all in a model.
There are a great many models though ... have you googled for "physics of shock absorbing materials"?

https://prezi.com/_00fejfkuvx_/physics-of-shock-absorbing-materials/
http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1062&context=engineeringmechanicsfacpub
https://en.wikipedia.org/wiki/Impact_(mechanics)