I am looking for a reference that shows any correlation between the modulus of elasticity and the angle of internal friction of sand.
I know of a correlation between CBR and modulus of rupture of subgrade soils in pavements. A correlation between CBR and Group Index GI. It is interesting to see about possible correlation in your inquiry.
Thanks
I suggest you to read the book titled Principles of foundation engineering by J.E.Bowles. In this book there is a correlation b/w SPT 'N', angle of internal friction, density and relative density. Also, the modulus of elasticity with respect to 'N' value is given. So, you could find out E with respect to angle of internal friction.
Based on number of blows during Standard Penetration Test you can calculate the sand compaction factor. The strength (shear strength) and deformablity are changing together with the compaction non-lineary. There is a relationship between the Young's modulus and compressive strength - MR modulus ratio, but for the solid rocks only. It makes sense because you consider normal stress and normal strain. You can assume that such a correlation should also exist for internal friction angle and deformational modulus, but I don't know any study on it.
I know that E modulus is used for soil hardening models. But... sand is a loose granular material which is not elastic! And this is a problem.
Check this:
https://www.sgem.org/index.php/elibrary?view=publication&task=show&id=2576
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