Effect of percentage elongation on ductility: In a standard tensile test, how does material ductility change as the percentage elongation decreases?
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Aincreases
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Bdecreases
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Cremains same
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Dfirst increases then decreases
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Ebecomes undefined
Answer
Correct Answer: decreases
Explanation
Introduction / Context:Ductility is a measure of a material’s ability to undergo significant plastic deformation before fracture. It is commonly quantified by percentage elongation and percentage reduction in area obtained from standard tensile tests.
Given Data / Assumptions:
- Ductility indicators: % elongation and % reduction in area at fracture.
- Comparison at similar gauge lengths and testing standards.
Concept / Approach:By definition, higher percentage elongation means greater capacity for plastic deformation. Therefore, a decrease in percentage elongation indicates reduced ability to plastically deform before failure, i.e., reduced ductility.
Step-by-Step Solution:
Observe that % elongation reflects plastic strain accumulated before fracture.If % elongation decreases, the strain capacity to failure is lower.Thus, ductility decreases as % elongation decreases.Verification / Alternative check:Handbooks and materials data sheets consistently associate higher % elongation with ductile behavior (e.g., mild steel) and low % elongation with brittle behavior (e.g., cast iron).
Why Other Options Are Wrong:
- “Increases/remains same” contradict the fundamental definition of ductility.
- “First increases then decreases” implies a non-monotonic relationship not supported for a single material comparison.
- “Undefined” is incorrect; ductility remains definable at all % elongations.
Common Pitfalls:Comparing values taken with different gauge lengths or test standards; conflating ductility with toughness (energy absorption), which also depends on strength and strain behavior.
Final Answer:decreases