Question

Is Young's modulus stiffness?

Answer 1

1. Young’s modulus is also known as the modulus of elasticity which is the mechanical property of a material to withstand the compression or the elongation concerning its length.
2. The ratio of tensile stress $\left(\sigma \right)$ to tensile strain $\left(\epsilon \right)$ is a feature of a material that indicates how easily it can stretch and deform.
3. Strain is extension per unit length $\left(\epsilon =\frac{dl}{l}\right)$ and stress is the amount of force applied per unit area $\left(\sigma =\frac{F}{A}\right)$.

$E=\frac{\sigma }{\epsilon }=\frac{F/A}{dl/l}$

4. Stiffness is the degree to which an object resists deforming in reaction to a force being applied.

5. Yes, the measurement of an object's stiffness is its Young's modulus. In other words, the object's resistance to elastomeric deformation. How easily an object can be bent or twisted is indicated by its Young's modulus.

Hence, Young's modulus is the measure of stiffness.