Hall-Petch Relation Calculation?

Click For Summary
SUMMARY

The Hall-Petch relation is used to estimate the yield strength (σy) of a Cu-Zn alloy (brass) based on the average grain diameter. Given an internal friction stress (σ0) of 25 MPa and a material constant (ky) of 12.5 MPa·mm1/2, the yield strength can be calculated using the formula σy = σ0 + ky * d-1/2. For an average grain diameter (d) of 30 μm, the yield strength is calculated to be 97.17 MPa. This calculation is confirmed as correct, provided that unit conversions are accurately applied.

PREREQUISITES
  • Understanding of the Hall-Petch relation
  • Knowledge of yield strength calculations
  • Familiarity with unit conversions in material science
  • Basic principles of metallurgy related to grain size
NEXT STEPS
  • Study the Hall-Petch relation in detail
  • Learn about the effects of grain size on material properties
  • Explore unit conversion techniques in engineering calculations
  • Investigate other factors influencing yield strength in alloys
USEFUL FOR

Materials scientists, metallurgists, and engineers involved in alloy development and strength analysis will benefit from this discussion.

Dave_
Messages
7
Reaction score
0
Using the Hall-Petch relation, estimate the yield strength, σy, of a Cu-Zn alloy (brass) when the average grain diameter is 30 μm.

where:
σy = is the yield strength
σ0 = 25 MPa is the internal friction stress
ky = 12.5 MPa·mm1/2 is a material constant
d = is the average grain size

473349a7f579a873b4ee02da83387ddc.png


I get an answer of 97.17 MPa, is this correct, if not i'll post all of my working. Thanks!
 
Physics news on Phys.org
This would require me to completely work out the problem myself!

We would much rather see your work, and then follow it to see if there is an error. The usual errors in a simple calculation like this are in the units.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
28K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
30K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 19 ·
Replies
19
Views
19K