Force-Elongation Diagram: Determining Ductility/Brittleness

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SUMMARY

The force-elongation diagram is essential for determining material ductility or brittleness. A long plastic deformation section after the yielding point indicates ductility, while a short linear section followed by a brief curve signifies brittleness. The identification of fracture mechanisms may not always align with the force-displacement curve due to the coexistence of different failure modes. Typical formulas related to stress-strain curves or fracture mechanics are used for analysis.

PREREQUISITES
  • Understanding of force-elongation diagrams
  • Knowledge of stress-strain curves
  • Familiarity with Hooke's Law
  • Basic concepts of fracture mechanics
NEXT STEPS
  • Study stress-strain curve analysis techniques
  • Learn about ductility and brittleness metrics
  • Explore fracture mechanics principles
  • Investigate advanced material testing methods
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Material scientists, mechanical engineers, and students studying material properties and failure analysis will benefit from this discussion.

teng125
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i force-elongation diagram, how can we know whether the material is ductile or brittle??any formula to calculate it??

pls help
thanx
 
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They can be identify quite easily as the following:

If there is a very long section after yielding point, which we call the plastic deformation section, existing in the curve then it is ductile.

If the curve is basically just a short section of straigth line obeying Hooke's law followed by a small, short curve indicating the breaking point or UTS, then it is brittle.
 
Just keep in mind that the actual micromechanism of fracture is not always that straightforward to identify from a force-displacement curve, in a case where several coexist (for example brittle failure can result after quite extensive plasticity). Typical formula would be those typically related to stress-strain curves or then fracture mechanical ones (usually the former, but don't know the "level" of your problem).
 

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