Question

The area under the stress-strain curve up to the fracture point represents:

• A. Resilience
• B. Toughness
• C. Ductility
• D. Brittleness

Hint:

Logic Tip: A simple mnemonic: Area to Yield = Resilience (Rubber bands are resilient). Area to Rupture = Toughness (Kevlar is tough).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
A stress-strain curve plots the load applied to a material against its deformation. The area under this curve represents the energy absorbed per unit volume.
Step 2: Key Formula or Approach:
* Area up to Elastic Limit = Modulus of Resilience. * Total Area up to Fracture Point = Modulus of Toughness.
Step 3: Detailed Explanation:
Toughness is a measure of the total energy a material can absorb before it actually breaks. This requires a combination of both strength (high stress) and ductility (high strain). A material that is very strong but brittle (like glass) has low toughness because it fractures with very little strain.
Step 4: Final Answer:
The total area under the curve up to the fracture point represents Toughness.