Force-Extension Graph for Brittle, Ductile, and Plastic Materials
Force-Extension graph: A Force-Extension graph is a visual plot that shows how an object (like a spring, wire, or rubber band) changes in length (extension) in response to an applied pulling force (load). Typically, the strain is plotted on the horizontal x-axis, and the stress is plotted on the vertical y-axis.
Detailed Video Lecture
(Ensure your image shows Line 1 for Brittle, Line 2 for Ductile, Line 3 for Strong, and Line 4 for Plastic materials)
i. Brittle Material: The line 1 (brittle) represents the behavior of a typical elastic material, which follows Hooke's Law. As the material is stretched, the force applied to it increases linearly with the extension, up to a point called the yield point. The material eventually reaches a maximum point of extension, is called the ultimate extension or fracture point, beyond which it breaks or fractures.
ii. Ductile Material: The line 2 (ductile) represents the behavior of a typical viscoelastic material, which exhibits time-dependent deformation under a constant force. In this case, the material initially undergoes elastic deformation, similar to the elastic material, but then continues to deform slowly over time under a constant force, eventually reaching a maximum extension or creep limit.
iii. Strong Material (not ductile): The line 3 is showing strong material which is not ductile, like steel wires stretch very little and breaks suddenly.
iv. Plastic Material: The line 4 (Plastic) represents the behavior of a typical plastic material, which exhibits permanent deformation when subjected to a force. In this case, the material undergoes plastic deformation immediately, with no linear region or yield point, and continues to deform permanently as the force is increased, until it ultimately fractures or breaks.
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