if you mean dynamic stiffness, you can have a look at my paper:
F. Asdrubali, F. D’Alessandro: “Impact sound insulation and viscoelastic properties of resilient materials made from recycled tyre granules”, International Journal of Acoustic and Vibration Vol. 16, n. 3 (2011), pp. 119-125.
You can download it from Research gate among my publications
Stiffness is not an independent term, but the derived term & depends upon force, type of force applied (like centered, distributed etc.) (ie. directorial distribution of force) & deflection.
As, for measurement of stress (derived term), force & area need to be measured separately, likewise the stiffness. Hence, as per my knowledge, just measure the force & deflection separately, consider the force aspects (direction, distribution etc.), & find the stiffness for the situation under consideration.
In bending, stiffness depends on I, E an Poisson' s ratio (multiplying Young' s modulus by moment of inertia divided to one minus square of Poisson' s ratio)
Quick, non-specific recommendation: Never re-invent the wheel.
Leverage every competent engineer you possibly can. At every juncture.
Over time, people have had to characterize an astonishing array of products. It will be a near-miracle if nobody has ever done yours.
Check internet for standard testing methods.
I'm in the US, so I always go to ASTM.org. Look for your type of test, in this case "stiffness of sheet". I strongly suspect that you'll find something.
Results may not be the cheapest, but they have a much higher probability of giving good results, because you're not repeating other peoples' mistakes. (The invisible approaches that have been culled out of the procedures because they gave bad results.)
2nd benefit: you can compare your results to other published results, which you can't do with your own technique.
Non-linearity can be an issue with thin plates modulus measurement, thus you should consider measuring the modulus at multiple stress/strain levels.
In addition to flexural stiffness measurement through a bending test you could also consider using small amplitude oscillatory testing (either stress or strain controlled) to measure modulus, which may be preferable for your extremely thin sample. You can easily adjust the amplitude to check for non-linearity effects in your material in this method.
if you mean dynamic stiffness, you can have a look at my paper:
F. Asdrubali, F. D’Alessandro: “Impact sound insulation and viscoelastic properties of resilient materials made from recycled tyre granules”, International Journal of Acoustic and Vibration Vol. 16, n. 3 (2011), pp. 119-125.
You can download it from Research gate among my publications
A very interesting paper, Francesco. I have also worked on the viscoelastic properties of using recycled tire rubber, albeit in a very different application: as a paving asphalt modifier (available in publication list).