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The flow stress (in MPa) of a material is given by σ = 500 ε 0.1
where ε is true strain. The Young's modulus of elasticity of the material is 200 GPa. A block of thickness 100 mm made of this material is compressed to 95 mm thickness and then the load is removed. The final dimension of the block (in mm) is _____.
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- 98.157mm
- 85.157mm
- 95.157mm
- 95mm
Correct Option: C
σ = 500 ε0.1.
hi = 100 mm hf = 95 mm
| ε = In |  |  | ||
| 95 |
ε = 0.051
σ = 500 (ε)0.1
σ = 500 (0.51)0.1
| = G ⇒ | = 200 × 105 | ||
| ε | ε |
| ε = 1.85 × 10-3 = | ||
| 95 |
final height = 95.157mm
