DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The impact of anisotropic thermal expansion on the isothermal annealing of polycrystalline α -uranium

Journal Article · · Computational Materials Science

Although grain growth impacts microstructural evolution in a wide variety of materials systems, the effect of anisotropic thermal expansion on grain boundary mobility and texture evolution has not been widely studied. Anisotropic thermal expansion occurs in multiple non-cubic metals, and the thermomechanical processing behavior of these materials can be better understood with further study into the impact of thermal expansion on grain boundary mobility and texture evolution. In this work, we develop a mesoscale phase field model of grain growth that includes the effect of anisotropic thermal expansion, which is applied to study polycrystalline α-uranium, a highly anisotropic metal. Three-dimensional simulations on polycrystalline a-uranium with and without thermal expansion eigenstrains are performed to study the grain boundary mobility and texture evolution as a function of temperature. A strain-free temperature of 933 K is selected, and the system is studied at within the range of 873 – 933 K at intervals of ten degrees, resulting in increasing thermal eigenstrain with decreasing temperature. We also estimate a grain boundary mobility prefactor and activation energy based on existing experimental data of isothermal annealing of α-uranium. The grain boundary mobility is found to display significant deviation from Arrhenius behavior with the inclusion of thermal expansion eigenstrain as the amount of thermal eigenstrain (and thus elastic strain energy within the system) increases. This result explains an experimentally observed grain boundary mobility deviation from Arrhenius behavior. Furthermore, the texture evolution is affected, such that the grain orientations become less random with increasing thermal eigenstrain, which could explain experimentally observed texture behavior. These results indicate that the effect of thermal expansion should be considered when predicting the thermomechanical processing behavior of α-uranium and other materials with anisotropic thermal expansion.

Research Organization:
Idaho National Laboratory (INL), Idaho Falls, ID (United States)
Sponsoring Organization:
USDOE Office of Nuclear Energy (NE); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC07-05ID14517
OSTI ID:
1889727
Report Number(s):
INL/JOU-21-64894-Rev000
Journal Information:
Computational Materials Science, Journal Name: Computational Materials Science Journal Issue: - Vol. 205; ISSN 0927-0256
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (27)

Investigation of the effect of thermal residual stresses on deformation of α-uranium through neutron diffraction measurements and crystal plasticity modeling journal February 2015
Phase field simulations of elastic deformation-driven grain growth in 2D copper polycrystals journal May 2011
Thermal expansion of alpha uranium journal January 1966
Development of a grain boundary pinning model that considers particle size distribution using the phase field method journal April 2015
MOOSE: Enabling massively parallel multiphysics simulation journal January 2020
Heterogeneous Internal Strain Evolution in Commercial Purity Titanium Due to Anisotropic Coefficients of Thermal Expansion journal September 2019
Computer simulation of grain growth using a continuum field model journal February 1997
In-situ neutron diffraction characterization of temperature dependence deformation in α-uranium journal April 2018
Determination of Thermal Expansion, Defect Formation Energy, and Defect-Induced Strain of α-U Via ab Initio Molecular Dynamics journal June 2021
Modeling the effect of surface energy on stressed grain growth in cubic polycrystalline bodies journal March 2016
A phase-field model of stress effect on grain boundary migration journal March 2011
Effect of microelasticity on grain growth: Texture evolution and abnormal grain growth journal June 2011
The Thermal Expansion of Anisotropic Metals journal July 1953
Efficient rolling texture predictions and texture-sensitive thermomechanical properties of α-uranium foils journal November 2017
Temperature dependence of the elastic moduli in alpha uranium single crystals, part iv (298° to 923° K) journal January 1966
The influence of strain energy on abnormal grain growth in copper thin films journal August 1995
Atomistic Simulation of Curvature Driven Grain Boundary Migration journal February 1998
A phase field concept for multiphase systems journal July 1996
Anisotropic multi-phase-field model: Interfaces and junctions journal March 1998
Thermal residual strains in depleted α-U journal October 2013
Comparative study of two phase-field models for grain growth journal August 2009
Preparation of alpha uranium single crystals by a grain-coarsening method journal July 1957
Anisotropic Thermal Expansion of Single Crystals of Thallium, Yttrium, Beryllium, and Zinc at Low Temperatures journal January 1962
Quantitative Phase-Field Approach for Simulating Grain Growth in Anisotropic Systems with Arbitrary Inclination and Misorientation Dependence journal July 2008
Modeling brittle fracture due to anisotropic thermal expansion in polycrystalline materials journal June 2021
Phase field modeling of stressed grain growth: Effect of inclination and misorientation dependence of grain boundary energy journal July 2019
Evaluation of the anisotropic grain boundaries and surfaces of α -U via molecular dynamics journal October 2021