Young’s Modulus, denoted by E, quantifies a solid material’s stiffness. It is the ratio of tensile stress (\(\sigma\)) to extensional strain (\(\epsilon\)) in the elastic (linear) region of the stress-strain curve. This relationship is defined by Hooke’s Law: \(E = \frac{\sigma}{\epsilon}\). A higher modulus indicates a stiffer material, meaning more stress is required for a given amount of elastic deformation.
