where \$\Delta L\$ is the change in length and \$L_0\$ is the original length.
Elastic vs. Plastic Behaviour
When the applied stress is below the material’s elastic limit, deformation is elastic.
Beyond the elastic limit, the material yields and deformation becomes plastic.
Materials have a characteristic Young’s modulus\$E\$, defined by \$E = \sigma / \varepsilon\$ in the elastic region.
Practical Examples
Compressing a sponge – the sponge returns to its original shape (elastic).
Stretching a piece of soft clay – it retains the new shape (plastic).
Applying a torque to a metal rod – it may twist elastically at low torque, but will permanently deform if the torque exceeds the yield point.
Important Points for Examination
Identify the type of force and the resulting deformation.
Distinguish between elastic and plastic deformation.
Use the stress‑strain relationship to calculate deformation when required.
Remember that not all forces change motion; some primarily change shape or size.
Suggested diagram: Sketch showing a bar under tension, compression, shear, torsion, and bending, each labelled with the type of force and the resulting deformation.