What is the relationship between different elastic constants?

Question

Discuss the relationship between the elastic constants, also describe different elastic constants. 

Answer 1

Although only 2 independent elastic constants are required to completely the properties of an isotropic, elastic medium, there are many different constants from which to choose. Most of these constants arise as constants of proportionality between stress and strain for various loading conditions.

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Yeah Exactly !!! But the Equation was not coming.... So I paste the Definition part it in here.