Question

Define ragious elastie for constant
and establish relationship
between them. 2500 words​

Answer 1

We can derive the elastic constant’s relation by combining the mathematical expressions relating terms individually.

Young modulus can be expressed using Bulk modulus and Poisson’s ratio as –

E=3K(1−2μ)

Similarly, Young’s modulus can also be expressed using rigidity modulus and Poisson’s ratio as-E=2G(1+2μ)

Combining the above two-equation and solving them to eliminate Poisson’s ratio we can get a relation between Young’s modulus and bulk modulus k and modulus of rigidity as -E=9KGG+3K

Hope you understood the relation between Young’s modulus and bulk modulus k and modulus of rigidity.