Coupled Crystal Plasticity-Phase Field Modeling of Multi-Phase Metals

A code has been developed based on image based crystal plasticity modeling of multiphase metals. This model coupled with equilibrium equation and compatibility constraint is solved at each material point of representative volume element. A phenomenological equation for dislocation slip is used. Crystal kinematics couples the boundary conditions to constitutive behavior by integrating evolution equation for elastic deformation gradient obtained using the multiplicative decomposition of deformation. The code is tested for linear homogeneous isotropic elastic material with embedded inclusions. We analyze two types of inclusions namely an elastic inclusion and a void. These two baseline studies have been compared against solutions from currently available commercial and open source packages. In the second example we study the time evolution of residual stresses due to a growing phase. Such models are especially useful for understanding the role of interactions and co-deformation of multiple phases on the overall mechanical response of a multiphase metal. Experimental data set found in the literature is used for calibration of the developed crystal plasticity model. (C) 2019 The Authors. Published by Elsevier B.V.