Effect of carbon and nitrogen on the Hall-Petch coefficient of ferritic iron (Review on the Hall-Petch relation in ferritic iron)

Setsuo Takaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

Grain size dependence of yield strength was reviewed for polycrystalline ferritic iron and low carbon steel. Yielding of polycrystalline low carbon steels was characterized by a clear yield point (upper yield point) and such a yielding behavior is taken over to ultra fine grained steel with the grain size below 1μm. Yield strength (σy) of polycrystalline low carbon steels obeys the Hall-Petch relation: σy[MPa]=100+600xd[μm] -1/2 . The Hall-Petch coefficient ky is around 600 MPa ·μm1/2 for the commercial low carbon steels but it is lowered to about 100 MPa ·μm1/2 for interstitial fee steel. Besides, it is known in industrial pure iron (Fe-30ppmC) that ky increases with aging at 363K. The value of ky is also increases with increasing the amount of solute carbon content. The ky is enlarged from 100 MPa·μ m 1/2 to 550 MPa·μm1/2 by adding 60ppm of solute carbon and then levels off at around 600 MPa·μm1/2 in the carbon concentration region above 60ppm. On the other hand, nitrogen hardly influences the ky value. Difference between C and N in the contribution to ky is probably due to the difference in grain boundary segregation behavior. Macroscopic yielding of polycrystalline ferritic iron is reasonably explained by the Hall-Petch model considering dislocation pile-up against grain boundary and dislocation emission from the grain boundary where stress concentration has been generated by piled up dislocations. It is seemed that the segregated carbon stabilized the dislocation emission site at grain boundary and this leads to the increase in ky.

Original languageEnglish
Title of host publicationTHERMEC 2009
Pages168-173
Number of pages6
DOIs
Publication statusPublished - Feb 9 2010
Event6th International Conference on Processing and Manufacturing of Advanced Materials - THERMEC'2009 - Berlin, Germany
Duration: Aug 25 2009Aug 29 2009

Publication series

NameMaterials Science Forum
Volume638-642
ISSN (Print)0255-5476

Other

Other6th International Conference on Processing and Manufacturing of Advanced Materials - THERMEC'2009
CountryGermany
CityBerlin
Period8/25/098/29/09

Fingerprint

low carbon steels
Low carbon steel
Hall effect
Grain boundaries
Nitrogen
Carbon
Iron
grain boundaries
Dislocations (crystals)
iron
nitrogen
carbon
Steel
yield point
yield strength
Yield stress
solutes
grain size
steels
stress concentration

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Effect of carbon and nitrogen on the Hall-Petch coefficient of ferritic iron (Review on the Hall-Petch relation in ferritic iron). / Takaki, Setsuo.

THERMEC 2009. 2010. p. 168-173 (Materials Science Forum; Vol. 638-642).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Takaki, S 2010, Effect of carbon and nitrogen on the Hall-Petch coefficient of ferritic iron (Review on the Hall-Petch relation in ferritic iron). in THERMEC 2009. Materials Science Forum, vol. 638-642, pp. 168-173, 6th International Conference on Processing and Manufacturing of Advanced Materials - THERMEC'2009, Berlin, Germany, 8/25/09. https://doi.org/10.4028/www.scientific.net/MSF.638-642.168
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