Stress Strain Interpretation F22B25
1. The problem involves interpreting a stress-strain curve and selecting the correct statement about material behavior.
2. Key concepts:
- The modulus of elasticity (Young's modulus) is the slope of the stress-strain curve in the elastic region, typically at very low strains (0% to 1%).
- The necking region occurs after strain hardening, where the material starts to thin and the curve drops.
- Yielding region is where the material deforms plastically at nearly constant stress.
- Fracture strain is the strain value at which the material breaks.
3. Analyze each option:
- a. Necking region is approximately equal to strain hardening region: Usually, strain hardening precedes necking and they are not equal in length.
- b. Modulus of elasticity can be determined within 0% to 1% strain: This is true because the initial linear portion of the curve represents elastic behavior.
- c. Yielding region is smaller because specimen is perfectly plastic: Perfectly plastic materials have a distinct yield plateau, so this can be true depending on the curve shape.
- d. Fracture strain is 0.13 mm/mm since strain at fracture is 13%: Strain in % divided by 100 gives strain in mm/mm, so 13% = 0.13 mm/mm, which is correct.
4. The best correct statement is d, as it correctly converts percentage strain to engineering strain units.
Final answer: d. The specimen's fracture strain is 0.13 mm/mm since the percentage strain at which it occurs is 13%.