Calculation of Stress-Strain Curve of Two-Phase Microstructure on the Basis of the Extended Secant Method
The secant method proposed by Weng  is a practical calculation method to evaluate the stress-strain curve of the two-phase materials, but the shape of the inclusion phase has been often assumed to be a sphere or an ellipsoid in the calculation. In this study, we modified the secant method by utilizing the phase-field micro-elasticity theory [2,3] so as to be able to calculate the SS-curve of the materials consisting arbitrary morphology of microstructure, and applied this method to the conventional microstructures in steels, i.e., the ferrite-bainite two-phase microstructure.
T. Chandra, N. Wanderka, W. Reimers , M. Ionescu
T. Koyama and H. Onodera, "Calculation of Stress-Strain Curve of Two-Phase Microstructure on the Basis of the Extended Secant Method ", Materials Science Forum, Vols. 638-642, pp. 3325-3330, 2010