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101
•
11 Jan 2026
•
Poppy
@poppy.21.11
Understanding how materials behave under stress is crucial for everything... Show more
You'll be diving into six key areas that explain how materials respond to forces and loads. Density tells us about mass distribution, whilst Hooke's law describes how springs and elastic materials behave under tension.
Stress and strain measurements help engineers predict when materials might fail. The Young modulus gives us a way to compare how stiff different materials are.
Understanding stress-strain graphs and force-extension graphs will help you visualise material behaviour. Finally, brittle materials have their own unique way of breaking that's quite different from metals and plastics.
Quick Tip: These concepts build on each other, so mastering the basics like density and Hooke's law will make the more complex topics much easier to understand.
Think about why a small piece of lead feels heavier than a large piece of polystyrene - that's density in action. It's simply how much mass you've got packed into a given volume.
The formula is straightforward: Density = mass ÷ volume . The units are kg/m³, which tells you how many kilograms fit into each cubic metre of material.
Density doesn't change based on the size or shape of an object - a tiny gold nugget has the same density as a massive gold bar. This property determines whether objects float or sink, making it essential for designing ships, submarines, and even hot air balloons.
Remember: Water has a density of 1000 kg/m³, so anything denser will sink, and anything less dense will float.
Hooke's law describes the relationship between force and extension in elastic materials like springs and rubber bands. The equation is: F = k × ΔL, where k is the spring constant and ΔL is the change in length.
This law only works up to the limit of proportionality, where force and extension are directly proportional. Beyond this point, the material doesn't follow the simple linear relationship anymore.
The elastic limit is even more important - once you stretch past this point, the material won't return to its original length when you remove the force. After the elastic limit, materials begin to 'creep' and stretch continuously until they eventually break.
Key Point: Most exam questions focus on the region before the elastic limit, where Hooke's law applies and materials behave predictably.
Materials can stretch in two fundamentally different ways. Elastic deformation means the material springs back to its original shape when you remove the force - like a rubber band or guitar string.
Plastic deformation is permanent stretching. Once you've bent a paper clip or stretched a piece of plasticine, it stays in that new shape even after removing the force.
On force-extension graphs, elastic behaviour shows the loading and unloading curves following the same path. Plastic behaviour creates a hysteresis loop, where the unloading curve follows a different path, showing that some deformation is permanent.
Real-world Connection: Car crumple zones are designed to deform plastically, absorbing crash energy whilst the passenger compartment remains elastically deformable.
Stress and strain allow us to compare materials regardless of their size. Tensile stress is force divided by cross-sectional area , measured in pascals or N/m².
Tensile strain is the change in length divided by original length . Strain has no units because it's a ratio - it tells you the percentage change in length.
Breaking stress is the stress level that causes complete failure, whilst ultimate tensile stress is the maximum stress a material can handle before it starts to weaken. These values help engineers choose appropriate materials for different applications.
Exam Tip: Remember that stress depends on the cross-sectional area, so thicker wires can handle more force before breaking.
When you stretch a material, you're doing work against the internal forces, and this energy gets stored as elastic strain energy. For materials obeying Hooke's law, the work done equals ½FΔL or ½k(ΔL)².
This stored energy can be released when the material returns to its original shape. Springs in car suspension systems work this way - they store energy when compressed and release it to smooth out bumps.
Conservation of energy applies throughout the stretching process. In oscillating springs, energy constantly converts between elastic strain energy, kinetic energy, and gravitational potential energy, but the total remains constant (ignoring friction).
Practical Application: Understanding elastic strain energy is crucial for designing everything from trampolines to earthquake-resistant buildings.
The Young modulus measures material stiffness - how much a material resists stretching. The formula is E = stress/strain = FL/(AΔL), with units of pascals.
On a stress-strain graph, the Young modulus is the gradient of the linear portion. Stiffer materials like steel have high Young modulus values, whilst flexible materials like rubber have low values.
Required Practical 4 involves measuring the Young modulus of a wire. You'll need to find the cross-sectional area with a micrometer, measure extensions for different loads, and plot stress against strain to find the gradient.
Method Tip: Take multiple diameter measurements and average them - wire isn't perfectly circular, so this improves accuracy significantly.
These graphs reveal everything about how materials behave under load. Key points include P (limit of proportionality), E (elastic limit), and Y (yield point, where rapid plastic deformation begins).
The area under a stress-strain curve represents strain energy per unit volume - incredibly useful for comparing energy storage in different materials. The area under a force-extension curve gives the total energy stored.
Loading and unloading curves help distinguish between elastic and plastic behaviour. Elastic materials follow the same path both ways, whilst plastic deformation creates loops showing permanent stretching.
Graph Skills: Practice identifying these key points on different materials - they're frequently tested and essential for understanding material behaviour.
Brittle materials like glass, ceramics, and cast iron behave very differently from metals and plastics. They don't deform plastically - instead, they suddenly snap with little warning.
Brittle fracture occurs when tiny surface cracks grow rapidly until the material fails completely. This makes brittle materials unpredictable and potentially dangerous in structural applications.
On stress-strain graphs, brittle materials show a steep linear relationship followed by sudden failure. There's no plastic deformation region - they go straight from elastic behaviour to complete fracture.
Safety Note: Brittle materials can store significant elastic energy before failing, making their sudden fracture potentially dangerous in engineering applications.
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Explore the principles of Hooke's Law and elasticity in this detailed summary. Learn about elastic and inelastic deformation, the spring constant (k), and how extension relates to applied force. This resource is essential for mastering concepts in physics related to forces and materials.
PhysicsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Poppy
@poppy.21.11
Understanding how materials behave under stress is crucial for everything from building bridges to designing phone cases. This topic covers the fundamental properties that determine whether materials stretch, snap, or return to their original shape when forces are applied.
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You'll be diving into six key areas that explain how materials respond to forces and loads. Density tells us about mass distribution, whilst Hooke's law describes how springs and elastic materials behave under tension.
Stress and strain measurements help engineers predict when materials might fail. The Young modulus gives us a way to compare how stiff different materials are.
Understanding stress-strain graphs and force-extension graphs will help you visualise material behaviour. Finally, brittle materials have their own unique way of breaking that's quite different from metals and plastics.
Quick Tip: These concepts build on each other, so mastering the basics like density and Hooke's law will make the more complex topics much easier to understand.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Think about why a small piece of lead feels heavier than a large piece of polystyrene - that's density in action. It's simply how much mass you've got packed into a given volume.
The formula is straightforward: Density = mass ÷ volume . The units are kg/m³, which tells you how many kilograms fit into each cubic metre of material.
Density doesn't change based on the size or shape of an object - a tiny gold nugget has the same density as a massive gold bar. This property determines whether objects float or sink, making it essential for designing ships, submarines, and even hot air balloons.
Remember: Water has a density of 1000 kg/m³, so anything denser will sink, and anything less dense will float.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Hooke's law describes the relationship between force and extension in elastic materials like springs and rubber bands. The equation is: F = k × ΔL, where k is the spring constant and ΔL is the change in length.
This law only works up to the limit of proportionality, where force and extension are directly proportional. Beyond this point, the material doesn't follow the simple linear relationship anymore.
The elastic limit is even more important - once you stretch past this point, the material won't return to its original length when you remove the force. After the elastic limit, materials begin to 'creep' and stretch continuously until they eventually break.
Key Point: Most exam questions focus on the region before the elastic limit, where Hooke's law applies and materials behave predictably.
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Materials can stretch in two fundamentally different ways. Elastic deformation means the material springs back to its original shape when you remove the force - like a rubber band or guitar string.
Plastic deformation is permanent stretching. Once you've bent a paper clip or stretched a piece of plasticine, it stays in that new shape even after removing the force.
On force-extension graphs, elastic behaviour shows the loading and unloading curves following the same path. Plastic behaviour creates a hysteresis loop, where the unloading curve follows a different path, showing that some deformation is permanent.
Real-world Connection: Car crumple zones are designed to deform plastically, absorbing crash energy whilst the passenger compartment remains elastically deformable.
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Stress and strain allow us to compare materials regardless of their size. Tensile stress is force divided by cross-sectional area , measured in pascals or N/m².
Tensile strain is the change in length divided by original length . Strain has no units because it's a ratio - it tells you the percentage change in length.
Breaking stress is the stress level that causes complete failure, whilst ultimate tensile stress is the maximum stress a material can handle before it starts to weaken. These values help engineers choose appropriate materials for different applications.
Exam Tip: Remember that stress depends on the cross-sectional area, so thicker wires can handle more force before breaking.
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
When you stretch a material, you're doing work against the internal forces, and this energy gets stored as elastic strain energy. For materials obeying Hooke's law, the work done equals ½FΔL or ½k(ΔL)².
This stored energy can be released when the material returns to its original shape. Springs in car suspension systems work this way - they store energy when compressed and release it to smooth out bumps.
Conservation of energy applies throughout the stretching process. In oscillating springs, energy constantly converts between elastic strain energy, kinetic energy, and gravitational potential energy, but the total remains constant (ignoring friction).
Practical Application: Understanding elastic strain energy is crucial for designing everything from trampolines to earthquake-resistant buildings.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
The Young modulus measures material stiffness - how much a material resists stretching. The formula is E = stress/strain = FL/(AΔL), with units of pascals.
On a stress-strain graph, the Young modulus is the gradient of the linear portion. Stiffer materials like steel have high Young modulus values, whilst flexible materials like rubber have low values.
Required Practical 4 involves measuring the Young modulus of a wire. You'll need to find the cross-sectional area with a micrometer, measure extensions for different loads, and plot stress against strain to find the gradient.
Method Tip: Take multiple diameter measurements and average them - wire isn't perfectly circular, so this improves accuracy significantly.
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
These graphs reveal everything about how materials behave under load. Key points include P (limit of proportionality), E (elastic limit), and Y (yield point, where rapid plastic deformation begins).
The area under a stress-strain curve represents strain energy per unit volume - incredibly useful for comparing energy storage in different materials. The area under a force-extension curve gives the total energy stored.
Loading and unloading curves help distinguish between elastic and plastic behaviour. Elastic materials follow the same path both ways, whilst plastic deformation creates loops showing permanent stretching.
Graph Skills: Practice identifying these key points on different materials - they're frequently tested and essential for understanding material behaviour.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Brittle materials like glass, ceramics, and cast iron behave very differently from metals and plastics. They don't deform plastically - instead, they suddenly snap with little warning.
Brittle fracture occurs when tiny surface cracks grow rapidly until the material fails completely. This makes brittle materials unpredictable and potentially dangerous in structural applications.
On stress-strain graphs, brittle materials show a steep linear relationship followed by sudden failure. There's no plastic deformation region - they go straight from elastic behaviour to complete fracture.
Safety Note: Brittle materials can store significant elastic energy before failing, making their sudden fracture potentially dangerous in engineering applications.
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Explore the concepts of density and upthrust in fluids with this detailed summary. Learn about Archimedes' principle, buoyant force, and the relationship between mass, volume, and density. This resource includes practical examples and practice questions to enhance your understanding of these fundamental physics topics. Ideal for A-Level Physics students.
PhysicsExplore the key concepts of material properties including density, Hooke's Law, tensile stress, and strain. Understand the differences between elastic and plastic behavior, and learn how to calculate elastic strain energy. This summary is essential for A-Level Physics students studying the bulk properties of solids.
PhysicsExplore the principles of Hooke's Law and elasticity in this detailed summary. Learn about elastic and inelastic deformation, the spring constant (k), and how extension relates to applied force. This resource is essential for mastering concepts in physics related to forces and materials.
PhysicsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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