TY - JOUR

T1 - Modelling plastic deformation in BCC metals

T2 - Dynamic recovery and cell formation effects

AU - Galindo-Nava, E. I.

AU - Rivera-Díaz-del-Castillo, P. E.J.

PY - 2012/12/15

Y1 - 2012/12/15

N2 - A recently developed model for describing plasticity in FCC metals (E.I., Galindo-Nava, P.E.J., Rivera-Díaz-del-Castillo, Mater. Sci. Eng. A 543 (2012) 110-116; E.I. Galindo-Nava, P.E.J. Rivera-Díaz-del-Castillo, Acta Mater. 60 (2012) 4370-4378) has now been applied to BCC. The core of the theory is the thermostatistical description of dislocation annihilation paths, which determines the dynamic recovery rate of the material. Input to this is the energy for the formation, migration and ordering of dislocation paths; the latter term corresponds to the statistical entropy which features strongly on the solution. The distinctions between FCC and BCC stem primarily from the possible directions and planes for dislocation slip and cross-slip, as well as from the presence of the kink-pair mechanism for dislocation migration in BCC, which are incorporated to the mathematical formulation of the model. The theory is unique in describing the stress-strain response for pure iron, molybdenum, tantalum, vanadium and tungsten employing physical parameters as input; the description is made for wide ranges of temperature and strain rate. Additionally, succinct equations to predict dislocation cell size variation with strain, strain rate and temperature are provided and validated for pure iron.

AB - A recently developed model for describing plasticity in FCC metals (E.I., Galindo-Nava, P.E.J., Rivera-Díaz-del-Castillo, Mater. Sci. Eng. A 543 (2012) 110-116; E.I. Galindo-Nava, P.E.J. Rivera-Díaz-del-Castillo, Acta Mater. 60 (2012) 4370-4378) has now been applied to BCC. The core of the theory is the thermostatistical description of dislocation annihilation paths, which determines the dynamic recovery rate of the material. Input to this is the energy for the formation, migration and ordering of dislocation paths; the latter term corresponds to the statistical entropy which features strongly on the solution. The distinctions between FCC and BCC stem primarily from the possible directions and planes for dislocation slip and cross-slip, as well as from the presence of the kink-pair mechanism for dislocation migration in BCC, which are incorporated to the mathematical formulation of the model. The theory is unique in describing the stress-strain response for pure iron, molybdenum, tantalum, vanadium and tungsten employing physical parameters as input; the description is made for wide ranges of temperature and strain rate. Additionally, succinct equations to predict dislocation cell size variation with strain, strain rate and temperature are provided and validated for pure iron.

KW - Dislocations

KW - Ferrous alloy

KW - Hardening

KW - Non-ferrous alloys

KW - Plasticity

U2 - 10.1016/j.msea.2012.08.068

DO - 10.1016/j.msea.2012.08.068

M3 - Journal article

AN - SCOPUS:84866280515

VL - 558

SP - 641

EP - 648

JO - Materials Science and Engineering: A

JF - Materials Science and Engineering: A

SN - 0921-5093

ER -