Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework

Abstract

The paper describes a robust finite element model of interface motion in media with multiple domains and junctions, as is the case in polycrystalline materials. The adopted level set framework describes each domain (grain) with a single level set function, while avoiding the creation of overlap or vacuum between these domains. The finite element mesh provides information on stored energies, calculated from a previous deformation step. Nucleation and growth of new grains are modelled by inserting additional level set functions around chosen nodes of the mesh. The kinetics and topological evolutions induced by primary recrystallization are discussed from simple test cases to more complex configurations and compared with the Johnson–Mehl–Avrami–Kolmogorov theory.

Assessment of simplified 2D grain growth models from numerical experiments based on a level set framework

“…Future work will be dedicated to (i) investigating volume conservation issues in grain growth regime, (ii) analyzing the number of sides relationship with the grain size, particularly in the quasi-steady regime, (iii) extending the present study from 2D to 3D, (iv) considering anisotropic grain boundary mobility and energy, and (v) following the same strategy to compare static and dynamic recrystallization predictions of the mean field model presented in [41] with those obtained with the full field approach [12] [13].…”

“…Finally, grain growth can also be modelled using a level set description of interfaces in the context of uniform grids with a finite-difference formulation [7][8] or in a finite element (FE) context [9] [10], which is the method chosen in this work. First level-set simulations concerning recrystallization in polycrystalline microstructures are described in [11][12] [13].…”

Introduction to the level-set full field modeling of laths spheroidization phenomenon in α/β titanium alloys

“…b) division of the domain in colonies (by Voronoï tessellation for example [14]). c) In each colony, Voronoï seeds belonging to a prescribed common axis are introduced.…”

“…d) Partition of each colony into regions, which are based to the minimum distance of the points of the domain from the Voronoï seeds of the corresponding colony. Each region consists of all the integration points closer to the corresponding seed that any other, called as Voronoï cells [14]. e) A variable ε is introduced for shifting the Voronoï cells in order to manage the description of the two different phases.…”

“…MTC is a P1 automatic remesher based on elements topology improvement that was developed for Lagrangian simulations under large strains. This tool was extended to anisotropic mesh adaptation, for which it was extensively used in context of FE microstructure description [11] The first metric considered is the metric describes in [14], this metric enables to impose isotropic or anisotropic (in the normal direction of the interface) fine mesh in the vicinity of the interface without considering its curvature. Here, isotropic adaptation was considered (Method 1 in Table 2).…”