Application of a self-consistent model to study the flow behavior of CuZn39Pb3 at elevated temperatures

Abstract

Hot compression tests were carried out on the duplex a 1 b leaded brass CuZn39Pb3 in temperature range of 600-800°C and at strain rates of 0.001-1 s À1 . A self-consistent model was used to analyze the flow behavior of the constituents and the material. A linear viscoplastic model was used to relate the flow stress of b and a 1 b composite to strain rate and the corresponding viscosity parameters were calculated at various deformation conditions. Using the viscosity parameters of b and a 1 b and the volume fractions of the constituents, the viscosity parameter of a was calculated. The values of the viscosity-like parameters and strain rate sensitivity for b and a 1 b composite were calculated using the nonlinear powerlaw viscoplastic equation. The results showed that the flow stress of a calculated using the self-consistent model was considerably higher than that of b. The difference could be attributed to the lower Zn content in a. The flow stress of a 1 b composite was calculated using the law of mixture rule. The law of mixture modeling of a 1 b composite for the iso-strain condition resulted to the overestimation of flow stress. The difference between the experimental and predicted results was attribute to the strain partitioning between a and b.