Question:
The fundamental assumption behind Barba's law in tensile testing is that
The fundamental assumption behind Barba's law in tensile testing is that
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Barba’s law assumes geometric similarity of deformation zones in tensile testing.
Updated On: Jun 29, 2026
- Plastic deformation remains uniform up to fracture
- The elastic strain contribution is negligible
- Specimens that are geometrically similar develop similar necked regions
- Necking is governed only by material composition
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The Correct Option is C
Solution and Explanation
Concept:
Barba’s law relates elongation of a tensile specimen to its gauge length. It assumes similarity in deformation behavior for geometrically similar specimens.
Step 1: Understanding Barba’s law.
Barba’s law states: \[ \text{Total elongation} = \text{uniform elongation} + \text{local elongation (necking)} \] It assumes scaling behavior of deformation zones.
Step 2: Key assumption.
The fundamental assumption is:
• geometrically similar specimens show similar deformation patterns
• necking region scales proportionally
Step 3: Evaluate options.
• (A) incorrect → deformation is not uniform up to fracture
• (B) incorrect → elastic strain is not neglected entirely
• (D) incorrect → not only composition controls necking Final Answer: \[ \boxed{\text{Specimens that are geometrically similar develop similar necked regions}} \]
Step 1: Understanding Barba’s law.
Barba’s law states: \[ \text{Total elongation} = \text{uniform elongation} + \text{local elongation (necking)} \] It assumes scaling behavior of deformation zones.
Step 2: Key assumption.
The fundamental assumption is:
• geometrically similar specimens show similar deformation patterns
• necking region scales proportionally
Step 3: Evaluate options.
• (A) incorrect → deformation is not uniform up to fracture
• (B) incorrect → elastic strain is not neglected entirely
• (D) incorrect → not only composition controls necking Final Answer: \[ \boxed{\text{Specimens that are geometrically similar develop similar necked regions}} \]
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