# Young’s Modulus¶

Young’s modulus or elastic modulus is a mechanical property of linear elastic solid materials. It defines the relationship between stress and strain in a material and is given by:

$E = \frac {\sigma}{\epsilon}$

where, ‘$$E$$‘ is the Young’s modulus of the material, ‘$$\sigma$$‘ and ‘$$\epsilon$$‘ are the stress and strain respectively.

When a load is applied on the material, the material deforms. The material is called elastic if it returns back to its original shape after the load is removed. A constant Young’s modulus means that the relation between stress and strain is linear.A material is said to be very rigid if the Young’s modulus is very high.

Strain-Strain curve of a linear elastic material

Young’s Modulus has a units of pressure or stress, since the strain is dimensionless quantity.