Derive an expression for strain energy and show that the strain energy per unit volume of a stretched wire is proportional to the square of the strain.

strain energy per unit volume is

The stored energy per unit volume of a stretched wire is

Potential energy per unit volume of a stretched wire is

Attempt any THREE : Derive an expression for strain energy. Hence show that strain energy per unit volume is directly proportional to the square of the stress.

The energy stored per unit volume of a strained wire is

Derive an expression for strain energy of the material of wire.

Strain energy per unit volume is given by

Derive an expression for strain energy per unit volume of the material of a wire.