How to plot stress-strain curve?

In summary, to plot the stress-strain curve with only yield strength, tensile strength, and elongation data, one can approximate the curve by finding the proportional limit and using the modulus of elasticity for the material. Alternatively, one can estimate the proportional limit and draw a curve based on that point.
  • #1
Felix Andiana
1
0
Can we plot stress-strain curve if we only have yield strength, tensile strength, and elongation data?
For example if i have:
Yield strength = 300 MPa
Tensile Strength = 600 MPa
Elongation = 50%
How to plot the stress-strain curve?
Thanks
 
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  • #2
You can approximate the line.
Do you know what each of your data points represents? ie could you find them on a given stress strain curve?
 
  • #3
Yield strength = 300 MPa
Tensile Strength = 600 MPa
Elongation = 50%

Here are the three points you identified (strain, stress)
(0,0)
(0.002,300)
(0.5,600)

If you knew the modulus of elasticity and when the curve first deviated from linear, you could approximate it. I.e., if you knew it was steel you could use around 207 GPa for Young's modulus, and draw a straight line until the curve deviated from linear (proportional limit), then approximate the rest of the points with a smooth curve up to failure (0.5, 600). Austentic stainless steels could have an elastic limit of around 50%, so if you knew this was the class of material you could find some stress strain plots and estimate the proportional limit, and then you would have enough information to estimate such a curve, or you could just "guess" the proportional limit (say 0.005), then that point would be

(0.005, 0.005*207,000)

And you could estimate a curve.
 

Related to How to plot stress-strain curve?

1. What is a stress-strain curve?

A stress-strain curve is a graphical representation of the relationship between stress and strain for a given material. It shows how a material responds to applied stress, and can provide information about its mechanical properties such as stiffness, strength, and ductility.

2. How do you plot a stress-strain curve?

To plot a stress-strain curve, you will need to first apply a known amount of stress to a material and measure the corresponding strain. This process is repeated multiple times, with increasing levels of stress, until the material reaches its breaking point. The data collected is then plotted on a graph with stress on the y-axis and strain on the x-axis.

3. What are the important features of a stress-strain curve?

The important features of a stress-strain curve include the elastic region, yield point, ultimate strength, and failure point. The elastic region shows the linear relationship between stress and strain, while the yield point marks the beginning of plastic deformation. The ultimate strength is the maximum stress the material can withstand before breaking, and the failure point is the point at which the material breaks completely.

4. How does the shape of a stress-strain curve differ for different materials?

The shape of a stress-strain curve can vary depending on the type of material. For example, a brittle material will have a steep curve with little to no plastic deformation, while a ductile material will have a more gradual curve with significant plastic deformation. Additionally, the slope of the curve can indicate the stiffness of the material.

5. What factors can affect the shape of a stress-strain curve?

The shape of a stress-strain curve can be influenced by factors such as temperature, strain rate, and material composition. Higher temperatures can cause a material to become more ductile, resulting in a different curve shape. Similarly, a higher strain rate can cause a material to behave differently and produce a different curve. Additionally, the composition of a material can also affect its mechanical properties and therefore the shape of its stress-strain curve.

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