Material index formulas for optical clarity and Ashby charts

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SUMMARY

This discussion focuses on deriving material indices for selecting materials using Ashby charts, specifically for applications requiring optical clarity and structural integrity. The deflection equation for a spherical cap is presented, leading to the material index formula of 𝝆/E, which should be minimized for optimal performance. Additionally, the user seeks guidance on finding a material index for optical clarity, particularly for a visor application, emphasizing the need for clarity and non-reflectivity. The relationship between the index of refraction and reflectivity of clear materials is also highlighted.

PREREQUISITES
  • Understanding of material properties, specifically density (𝝺) and Young's modulus (E).
  • Familiarity with Ashby charts for material selection.
  • Knowledge of optical clarity and its relevance in material science.
  • Basic grasp of equations related to deflection and material indices.
NEXT STEPS
  • Research "Material Index for Optical Clarity" to find relevant equations and materials.
  • Explore "Ashby Charts for Material Selection" to understand how to apply material indices effectively.
  • Investigate "Index of Refraction and Reflectivity" to comprehend their impact on material choice.
  • Study "Deflection Equations in Material Science" for deeper insights into structural applications.
USEFUL FOR

Material scientists, engineers, and designers involved in selecting materials for applications requiring both structural integrity and optical clarity, such as helmet visors and other transparent components.

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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