Material index formulas for optical clarity and Ashby charts

In summary, the conversation discusses the need for formulas to retrieve the material index for selecting materials using an Ashby chart. An example of a deflection equation for a spherical cap is given, along with the derivation of an equation for thickness. The material index is then determined by solving for mass. The need for an additional material index for optical clarity is mentioned, and a Google search is suggested as a starting point for finding relevant equations.
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LT72884
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Hello:)

i need some help trying to find some formulas that i can retrive the material index from at the end of simplification to use with an ashby chart to select materials. here is an example of deflection equation from a sphere used for a spherical cap and what material index we used to find our material.

Deflection:
d=(pr²)/2Et
If mass is equal to density multiplied by volume, we can derive an equation for thickness:
m=𝞺at
m=𝞺(2rh)t
t=m/𝝆2rh
d=((pr²)/2E)*m/𝝆a solve for m to find the material index
m=pr³h𝝆/dE
𝝆/E is our material index and should be minimized, or E/𝝆 should be maximized.

the last material index i need to find is for optical clarity, how well you can see through it. We are making a visor for a helmet. So it needs to be clear and non reflective, but i don't know how to find the material index because i do not know of any equations used for optical clarity.

thanks.
 
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