Average grain diameter at 310MPa from 2 known yield/grain values

In summary, the average grain diameter at 310MPa is an important measure in materials science as it provides information about the strength and durability of a material. This value is calculated using the Hall-Petch equation, which takes into account the yield strength of the material and the average grain size. However, this calculation has limitations as it assumes a linear relationship between grain size and strength and does not consider other factors that may affect the material's behavior under stress. While the average grain diameter at 310MPa can provide valuable information, it cannot accurately predict a material's performance in different conditions.
  • #1
physicsnnewbie
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Homework Statement


The lower yield point for an iron that has an average grain diameter of 1e-2mm is 230MPa. At a grain diameter of 6e-3mm, the yield point increases to 275MPa. At what grain diameter will the lower yield point be 310MPa?


Homework Equations


Not sure


The Attempt at a Solution


Not sure how to do it.
 
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  • #2
Look up "Hall-Petch."
 
  • #3
Thanks Mapes
 

1. What is the significance of measuring average grain diameter at 310MPa?

The average grain diameter at 310MPa is an important measure in materials science as it provides information about the strength and durability of a material. This value can help determine the material's ability to withstand stress and deformation, making it useful in various industrial applications.

2. How is the average grain diameter calculated from the known yield/grain values?

The average grain diameter at 310MPa is calculated using the known yield and grain values through the Hall-Petch equation. This equation takes into account the yield strength of the material and the average grain size to determine the relationship between grain size and strength.

3. Why is the yield strength of the material important in this calculation?

The yield strength of a material is an important factor in determining its average grain diameter at 310MPa because it represents the stress at which the material begins to deform plastically. This value affects the material's ability to withstand stress and can impact its grain size and overall strength.

4. Can the average grain diameter at 310MPa be used to predict the material's performance in different conditions?

While the average grain diameter at 310MPa provides valuable information about a material's strength at a specific stress level, it cannot be used to accurately predict its performance in different conditions. Other factors such as temperature, strain rate, and microstructure also play a role in determining a material's behavior under stress.

5. Are there any limitations to using this calculation for determining average grain diameter at 310MPa?

There are some limitations to using the Hall-Petch equation for calculating the average grain diameter at 310MPa. This equation assumes a linear relationship between grain size and strength, which may not hold true for all materials. Additionally, the equation does not take into account any other factors that may affect the material's behavior under stress.

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