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2.3.2 Elastic and plastic deformation

Elastic deformation

Definition

Elastic deformation

A change in shape that is reversed when the forces are removed, so the object returns to its original shape and size.

  1. An object is elastically deformed when it returns to its original shape and size once the deforming forces are removed.
  2. While the forces act, the object is still distorted, but the change in shape is temporary.
  3. A rubber band, a steel spring and a trampoline mat all deform elastically when they are stretched by modest forces.
  4. A tennis ball deforms elastically when it is squashed against a racket, then springs back to a round shape as it leaves the strings.
  5. In an elastic deformation, the forces pull the particles of the material slightly further apart, or push them slightly closer together, without changing how they are arranged.
  6. When the deforming forces are removed, the forces between the particles pull them back to their original positions, so the object recovers its shape.

Plastic deformation

Definition

Plastic deformation

A permanent change in shape, so the object does not return to its original shape and size when the forces are removed.

  1. An object is plastically deformed when it does not return to its original shape and size after the deforming forces are removed.
  2. Plastic deformation is also called inelastic deformation, and the change in shape is permanent.
  3. A lump of modelling clay, a drinks can crushed underfoot and a paper clip bent open all deform plastically.
  4. A car's crumple zone is built to deform plastically in a collision, so the front of the car stays crushed afterwards.
  5. In a plastic deformation, layers of particles in the material slide past one another into new positions.
  6. When the forces are removed, nothing pulls the particles back to where they started, so the object keeps its new shape.
  7. The word plastic describes the type of deformation, not the material, so a steel spring can deform plastically just as a plastic carrier bag can.

Elastic or plastic

  1. Whether a deformation is elastic or plastic depends on what happens after the forces are removed, not on how far the object stretched while it was loaded.
  2. Most objects deform elastically for small forces and plastically for large forces.
  3. A steel spring stretched gently springs back to its original length, but the same spring stretched very hard ends up permanently longer, with its coils pulled apart.
    1. A coiled spring toy pulled too far down a staircase stays open in the overstretched section and never coils neatly again.
  4. An object can show both types of deformation at once, recovering most of its stretch but keeping a small permanent extension.
  5. The permanent extension is the length after all the forces are removed minus the original length.
    1. A spring that is 10.0 cm10.0\ \text{cm}10.0 cm long, stretched to 18.0 cm18.0\ \text{cm}18.0 cm and then released, might shrink back only to 10.6 cm10.6\ \text{cm}10.6 cm, leaving a permanent extension of 0.6 cm0.6\ \text{cm}0.6 cm.

Loading and unloading

  1. Loading means adding masses to an object one at a time, so the stretching force increases in equal steps.
  2. Unloading means removing the masses one at a time, so the stretching force decreases in the same steps.
  3. Comparing the lengths measured during loading and unloading shows which type of deformation has happened.
    1. If the object has the same length at each load on the way down as on the way up, and finishes at its original length, the deformation is elastic.
    2. If the object finishes longer than it started, it has been plastically deformed.
  4. A steel spring usually gives almost identical readings during loading and unloading, provided it has not been overloaded.
  5. A rubber band behaves differently, because it is longer at each load during unloading than it was during loading, even though it returns to almost its original length at the end.
Example

Deciding the type of deformation from results

  • A student loads a spring with weights up to 5.0 N5.0\ \text{N}5.0 N and then removes them all.
  • The spring was 12.0 cm12.0\ \text{cm}12.0 cm long before loading and is 12.0 cm12.0\ \text{cm}12.0 cm long after unloading.
permanent extension=12.0 cm−12.0 cm=0 cm \text{permanent extension}=12.0\ \text{cm}-12.0\ \text{cm}=0\ \text{cm} permanent extension=12.0 cm−12.0 cm=0 cm
  • The spring has returned to its original length, so this deformation was elastic.
  • The student then loads the same spring up to 15.0 N15.0\ \text{N}15.0 N, and after unloading it measures 13.5 cm13.5\ \text{cm}13.5 cm.
permanent extension=13.5 cm−12.0 cm=1.5 cm \text{permanent extension}=13.5\ \text{cm}-12.0\ \text{cm}=1.5\ \text{cm} permanent extension=13.5 cm−12.0 cm=1.5 cm
  • The spring is now permanently longer, so the larger load has deformed it plastically.
Practical

Comparing springs and rubber bands

  • Aim: to compare how a steel spring and a rubber band behave as weights are added to them and then removed.
  • Apparatus: a clamp stand with two bosses and clamps, a G-clamp, a steel spring, a rubber band with a similar unstretched length, a 100 g100\ \text{g}100 g mass hanger with 100 g100\ \text{g}100 g slotted masses, a metre rule, a set square, a pointer made from a pin or tape, a stopwatch and eye protection.
  • Method, loading the spring:
    • Fix the clamp stand to the bench with the G-clamp, hang the spring from the upper clamp and hold the metre rule vertically beside it in the lower clamp.
    • Attach the pointer to the bottom of the spring and record its position with no load, reading the scale at eye level against the set square.
    • Hang the mass hanger on the spring and add 100 g100\ \text{g}100 g masses one at a time up to a total of 600 g600\ \text{g}600 g, recording the pointer position after each addition.
    • Wait 30 s30\ \text{s}30 s after each change of load before taking the reading, so the spring has settled.
  • Method, unloading the spring:
    • Remove the masses one at a time in reverse order, recording the pointer position after each removal.
    • Take the hanger off and record the final position with no load.
  • Method, the rubber band:
    • Replace the spring with the rubber band looped over the upper clamp and repeat the loading and unloading with the same masses in the same order.
    • Repeat the full sequence twice more for each object and calculate a mean length for every load.
  • Results: the spring's unloading readings match its loading readings and it returns to its starting length, while the rubber band is longer at each load during unloading but finishes very close to its starting length.
  • Conclusion: both objects deformed elastically over this range of loads, but only the spring followed the same lengths on the way down as on the way up, and any object that finished longer than it started would have been plastically deformed.
  • Watch out: keep the same masses, the same order and the same waiting time for both objects, because rubber keeps slowly stretching under a steady load and changing the timing changes the readings.
  • Safety: wear eye protection in case the spring or band snaps, keep your feet clear of the hanging masses, and stop adding masses if the band starts to tear.
Common Mistake
  • Do not describe elastic deformation as stretching a lot, because a stiff spring that barely stretches still deforms elastically if it returns to its original shape.
  • Do not assume plastic deformation only happens to objects made of plastic, because the word describes a permanent change in shape.
  • Do not judge the type of deformation from the loaded length, because only the length after the forces are removed shows whether the change is permanent.
Exam technique

Describing elastic and plastic deformation

  • For elastic deformation, write that the object returns to its original shape or length when the force is removed, because both the return and the removal of the force are needed.
  • For plastic deformation, write that the object does not return to its original shape and that the change is permanent.
  • When results are given, subtract the original length from the length after unloading, and use a value above zero as your evidence of plastic deformation.
  • Quote numbers from the data in your answer instead of describing the pattern only in words.
Self review
  • State what is meant by elastic deformation.
  • Give two everyday objects that deform plastically.
  • Explain how loading and unloading a spring shows whether it has been plastically deformed.
  • Calculate the permanent extension of a spring that is 8.0 cm8.0\ \text{cm}8.0 cm long before loading and 8.9 cm8.9\ \text{cm}8.9 cm long after unloading.
  • Describe how the unloading readings for a rubber band differ from its loading readings.
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2.3.2 Elastic and plastic deformation Revision Guide

  1. GCSE
  2. /Physics
  3. /2.3.2 Elastic and plastic deformation

Revision notes for OCR GCSE Physics 2.3.2 Elastic and plastic deformation: explanations and worked examples.

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