Amirkabir University of Technology AUT Journal of Mechanical Engineering 2588-2937 1 2 2017 12 01 Phase Field Method to the Interaction of Phase Transformations and Dislocations at Nanoscale 243 246 2759 10.22060/mej.2017.11892.5209 EN M. Javanbakht Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran V. I. Levitas Iowa State University, Departments of Mechanical and Aerospace Engineering, Ames, IA, USA Journal Article 2016 08 17 In this paper, a new phase field method for the interaction between martensitic phase<br />transformations and dislocations is presented which is a nontrivial combination of the most advanced<br />phase field methods to phase transformations and dislocation evolution. Some of the important points in<br />the model are the multiplicative decomposition of deformation gradient into elastic, transformational and<br />plastic parts, defining a proper energy to satisfy thermodynamic equilibrium and instability conditions,<br />including phase-dependent properties of dislocations. The system of equations consists of coupled<br />elasticity and phase field equations of phase transformations and dislocations. Finite element method<br />is used to solve the system of equations and applied to study the growth and arrest of martensitic plate<br />and the evolution of dislocations and phase in a nanograined material. It is found that dislocations play<br />a key role in eliminating the driving force of the plate growth and their arrest which creates athermal<br />friction. Also, the dual effect of plasticity on phase transformations is revealed; due to dislocations<br />pile-up and its stress concentration, the phase transformation driving force increases and consequently,<br />martensitic nucleation occurs. On the other hand, the dislocation nucleation results in decreasing the<br />phase transformation driving force and consequently, the phase transformation is suppressed. https://ajme.aut.ac.ir/article_2759_35c5a2cb362c4d214156f930e7d13252.pdf