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Two theories [Brown and Clarke (B-C) and Tanaka and Mori (T-M)] that treat work hardening in two-phase alloys take into account the effects of precipitate shape, elastic inhomogeneity, and deformation mode. Both theories calculate the initial work hardening rate (θ), but in addition the T-M theory estimates the strain dependence of the stored energy, and the ratio of stored to expended energy. The experimental data of Adam and Wolfenden, which include values of stress, strain (ε), stored energy (Es), and expended energy (Ew) for unidirectionally solidified eutectic alloys Al-Al3Fe and Al-Al6Fe, are used for comparing the abilities of the two theories to fit the data. The comparison shows that the parameters in both theories may be adjusted to give good values for θ, and that T-M theory yields excellent agreement for Es/Ew for both alloys and for Es/ε2 for the Al-Al6Fe alloy.
work hardening, two-phase alloys, composites, stored energy, eutectics, aluminum-iron alloys, calorimetry, stress, strain, expended energy
Associate Professor, Texas A&M University, College Station, Tex.