Extension of the Hall-Petch relation to two-ductile-phase alloys
- 1 February 1993
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine A
- Vol. 67 (2) , 515-531
- https://doi.org/10.1080/01418619308207175
Abstract
The Hall-Petch relation, developed originally for single-phase alloys, has been extended to alloys containing two ductile phases. The extended Hall-Petch relation can separate the contributions from the different kinds of boundary to the overall efficiency of grain and phase boundaries as obstacles to dislocation motion. The overall friction stress and the overall Hall-Petch coefficient for the two-ductile-phase alloys have been derived as functions of the Hall-Petch constants of the different constituent phases and their microstructural parameters. The extended Hall-Petch relation has been applied to α-β Ti-Mn alloys, α-β Cu-Zn alloys and α-γ Fe-Cr-Ni stainless steels to evaluate the efficiency of the phase boundaries as obstacles to dislocation motion. It is concluded that phase boundaries are not always the strongest obstacles to dislocation motion as in the case of α-γ Fe-Cr-Ni stainless steels.Keywords
This publication has 19 references indexed in Scilit:
- A rationalization of stress-strain behavior of two-ductile phase alloysMetallurgical Transactions A, 1986
- Influence of grain size on the mechanical behaviour of some high strength materialsJournal of Materials Science, 1986
- Hardness and deformation of cemented tungsten carbideMaterials Science and Engineering, 1978
- The deformation of plastically non-homogeneous materialsPhilosophical Magazine, 1970
- The plastic deformation of polycrystalline aggregatesPhilosophical Magazine, 1962
- High-Angle Tilt Boundary—A Dislocation Core ModelJournal of Applied Physics, 1961
- Dislocation-locking by carbon, nitrogen and boron in α-ironPhilosophical Magazine, 1960
- The ductile-brittle transition in the fracture of α-iron: IIPhilosophical Magazine, 1958
- Frictional forces on dislocation arrays at the lower yield point in ironActa Metallurgica, 1955
- The Deformation and Ageing of Mild Steel: III Discussion of ResultsProceedings of the Physical Society. Section B, 1951