Yes, it is possible to establish correlations between microhardness. but not in a quantitative way because to develop correlation one has to perform a number of experiments.

The qualitative relation between these parameters are

• Hardness is a measure of a material's resistance to deformation, while "E" is a measure of its stiffness or elastic behavior. In general, as the material becomes harder, 'E' tends to increase. This is because a harder material typically has stronger atomic bonds and a more ordered crystal structure, leading to a higher modulus.
• Higher microhardness values often indicate a higher UTS. This is because materials with higher microhardness values tend to have stronger atomic bonds, making them more resistant to deformation and failure under tensile loading.
• Materials with higher 'E" tend to have higher UTS values. This is because an "E" indicates a stiffer material, which can withstand higher loads before undergoing plastic deformation and ultimate failure.

Alok kumar Dwivedi thank you for the explanation. I would like to know more about the theoretical calculation to relate the E and UTS.

Young Modulus can be determined with non destructive testings, by measuring wave speed.

If you could use indentation test which is somehow similar to microhardness test you could get more information about mechanical properties, but it's also more complex to analyse. As said Mr. ALOK KUMAR DWIVEDI you can not determine accurately the UTS from a microhardness test in a quantitative way. But higher hardness is correlated with higher UTS.

Corentin Levard, Thank you. Yeah, that's right. I agree with both of you. Finding Young's modulus and hardness can be done using nano indent. However, I have reviewed some literature that says the hardness correlations under-estimate E and over-estimate UTS.