Relation Between Elastic Constants

Young’s modulus, bulk modulus and Rigidity modulus of an elastic solid are together called Elastic constants. When a deforming force is acting on a solid, it results in the change in its original dimension. In such cases, we can use the relation between elastic constants to understand the magnitude of deformation.

Elastic Constant Formula

• K is the Bulk modulus
• G is shear modulus or modulus of rigidity.
• E is Young’s modulus or modulus of Elasticity.

Derivation of Relation Between Elastic Constants

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