- #1
chrisbroward
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- Homework Statement
- & which curve goes with which scale? I'm a bit lost
- Relevant Equations
- stress-strain
Why does this stress-strain diagram have two curves & x-axis scales?
In summary, the stress-strain diagram features two curves to represent different material behaviors under stress, such as elastic and plastic deformation. The varying x-axis scales indicate different loading conditions or phases of material response, allowing for a clear distinction between initial elastic behavior and subsequent plastic behavior, highlighting the material's capacity to deform permanently after yielding.
- #2
Frabjous
Gold Member
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I do not understand why you are providing as little information as possible. The graph should have a caption and a description in the text (which should also be named).
Last edited:
- #3
chrisbroward
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Well... it doesn'tFrabjous said:
- #4
Frabjous
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Why are you worried about a graph that has no information associated with it?chrisbroward said:
- #5
chrisbroward
- 9
- 1
Lol what type of question is this?Frabjous said:
If you're for real -- I was browsing the internet for hw solutions. Came across this problem. The question asks to find the modulus of toughness and resilience.
I'm figuring since the above one has actually shows the curve that i'm used to (yield point, fracture point, & yield utimate)
then the bottom curve should be some sort of Δdeformation.
But it doesn't specificy.
- #6
chrisbroward
- 9
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But y'know since i'm student i don't really know. I've only just come to ask people who know more than me. I could ask my tutor but it's Saturday.
- #7
Baluncore
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There is one curve. It is shown in two parts, one is a zoom in on the first part of the scale. They share the same vertical axis.
Notice how one ends where the other begins, so you know which is low range, starting at zero, and which is the high range.
Notice how one ends where the other begins, so you know which is low range, starting at zero, and which is the high range.
- #8
chrisbroward
- 9
- 1
Oh okay! This makes a lot more sense thank you!Baluncore said:
- #9
Lnewqban
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Please, see:chrisbroward said:
https://www.e-education.psu.edu/matse81/node/2105
Note that the lower curve is stretched to the right or horizontally only at a scale 80 times respect to the upper curve.
That means that the actual slope would look much steeper than it does.
FAQ: Why does this stress-strain diagram have two curves & x-axis scales?
Why does this stress-strain diagram have two curves?
The two curves on a stress-strain diagram typically represent different loading conditions or material behaviors. One curve might show the material's response during loading (applying stress), while the other could represent the response during unloading (removing stress). This can illustrate phenomena such as hysteresis or the difference between elastic and plastic deformation.
What do the different x-axis scales represent in a stress-strain diagram?
The different x-axis scales on a stress-strain diagram usually indicate different measures of strain. One scale might represent engineering strain, which is the ratio of the change in length to the original length, while another scale could represent true strain, which accounts for the continuous change in length as the material deforms. These different scales provide more comprehensive insights into the material's behavior under stress.
How can I interpret the area between the two curves in a stress-strain diagram?
The area between the two curves in a stress-strain diagram often represents the energy dissipated during a loading-unloading cycle. This area is indicative of the material's damping capacity and can be related to internal friction, heat generation, or other forms of energy loss within the material. In the context of cyclic loading, this can be critical for understanding fatigue behavior.
Why might a material exhibit different curves for loading and unloading?
A material might exhibit different curves for loading and unloading due to various factors such as plastic deformation, internal microstructural changes, or viscoelastic effects. During loading, the material may undergo permanent changes that do not fully reverse upon unloading, leading to different stress-strain paths. This behavior is common in materials that exhibit plasticity or have complex internal structures.
What significance do the two curves have for material selection and engineering design?
The two curves in a stress-strain diagram provide crucial information for material selection and engineering design. They help engineers understand how a material will behave under different loading conditions, including its ability to recover after deformation and its energy absorption characteristics. This information is essential for designing components that must withstand cyclic loads, impacts, or other dynamic stresses, ensuring reliability and safety in practical applications.
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