Elastoplastic Modeling of Multi-phase Metal Matrix Composite with Void Growth Using the Transformation Field Analysis and Governing Parameter Method

In this paper, we employ the combined Transformation Field Analysis (TFA) method and the Governing Parameter Method (GPM) to predict the overall elastoplastic behavior of multi-phase fibrous composite materials using Gurson-Tvergaard yield criterion in order to account for the effect of void growth in the matrix phase. For the homogenization scheme, we employ the TFA method with concentration factors determined by the Eshelby-Mori-Tanaka (EMT) theory. Regarding to the stress integration of the governing TFA equations, we employ an implicit integration scheme, namely the GPM. Furthermore, a necessary condition for the possible ranges of the governing parameters based on the GPM integration scheme is derived in a more general setting by including the rate of nucleation and coalescence within the context of writing the expression of the rate of change of porosity. To validate our proposed approach, we compare our results to both numerical and experimental results provided in the existing literature.