Elastic After-Effect and Elastic Fatigue

Physics · Mechanical Properties Of Solids · NEET

Elastic after-effect is the small time delay a body takes to fully return to its original shape after the deforming force is removed. Elastic fatigue is the weakening of a material after it is stressed again and again over a long time. Memory hook: after-effect = "comes back LATE" (one release), fatigue = "gets TIRED" (many cycles).
Elastic After-Effect vs Elastic Fatiguetimestrainload offslow returndelay = after-effectFatigue (many cycles)strength falls with repeated stress
Left: after removing the load, a real body returns slowly - the lag is the elastic after-effect. Right: repeated stress cycles gradually reduce a material's strength, which is elastic fatigue.

Your doubts, answered

Is elastic after-effect the same as elastic fatigue?

No. Elastic after-effect happens in a SINGLE loading and unloading: after you remove the force, the body takes a short time to return fully to its original shape, instead of snapping back at once. Elastic fatigue is about MANY cycles: after being stressed and released repeatedly for a long time, the material loses strength and can break even below its normal breaking stress. For NEET, remember: after-effect = time delay (one event); fatigue = weakening (repeated events).

Why does a rubber band become loose after being used many times?

This is elastic fatigue. Each stretch and release is one stress cycle. After thousands of cycles the internal structure is disturbed and the band cannot recover fully, so it stays loose and its elastic limit falls. This is why old rubber bands and springs become weak. NEET may phrase it as 'a wire subjected to repeated stress can break at a stress lower than its breaking stress' - that statement describes elastic fatigue.

Does the elastic after-effect happen instantly for all materials?

For an ideal perfectly elastic body it would be instant. In real materials there is always a small delay. For quartz fibre and phosphor bronze the delay is extremely small (almost zero), which is why they are used in sensitive instruments like galvanometers and moving-coil meters. For glass fibre and rubber the delay is large. NEET loves the fact that quartz has a negligible elastic after-effect.

How is elastic after-effect different from elastic hysteresis?

Elastic after-effect is a TIME delay in returning to the original state after the load is removed. Elastic hysteresis is about ENERGY: when you load and unload a material (like rubber), the loading and unloading stress-strain curves do not overlap, and the area between them is energy lost as heat. After-effect is about timing; hysteresis is about lost energy per cycle. See the linked page on elastic hysteresis for the loop.

Can a wire break below its breaking stress?

Yes, because of elastic fatigue. A single load below the breaking stress will not break a fresh wire. But if that same sub-breaking stress is applied and removed repeatedly for a very long time, the wire develops internal weakness and can finally break at that lower stress. This is why machine parts, aircraft wings and bridges are designed with a factor of safety and are checked for fatigue failure.

⚠️ The NEET trap
Choosing that a wire can never break at a stress smaller than its breaking stress.
Due to elastic fatigue, repeated stressing over a long time can make a wire break even at a stress well below its normal breaking stress.
🧠 'Breaking stress' is measured on a FRESH wire in ONE pull. Repeated cycles change the game - fatigue lowers the effective strength.

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Frequently asked

What is elastic after-effect in simple words?

It is the short delay a stretched or bent body takes to return fully to its original shape after the force is removed, instead of snapping back at once.

What is elastic fatigue?

It is the loss of elastic strength in a material after it is stressed and released many times over a long period, so it can fail at a lower stress than a fresh sample.

Which material has almost no elastic after-effect?

Quartz (and phosphor bronze) have a negligible elastic after-effect, so they are used as suspension fibres in sensitive instruments like galvanometers.

Why is elastic fatigue important for engineers?

Machine parts, springs, bridges and aircraft undergo repeated stress cycles. Fatigue can cause failure below the breaking stress, so a factor of safety and rest periods are used to prevent sudden failure.

Is elastic after-effect a NEET topic?

Yes, it appears in Mechanical Properties of Solids as a short concept. NEET usually tests it as a statement or a difference from elastic fatigue and elastic hysteresis, not as a numerical.