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A. D. Rollett
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2004
The distribution of internal interfaces in polycrystals
2004
Grain boundary mobility - a brief review

This brief review describes the major features of grain boundary mobility in metals and current limitations in our theoretical understanding. Although thermally activated exchange of atoms across boundaries provides a basic picture of grain boundary correct to within an order of magnitude, no refinement of this theory is available that account for the experimental characteristics of grain mobility as it depends on crystallographic type. An example is given of a simple extension involving density of kinks on the two surfaces that comprise a boundary to show that the resulting estimate of mobility is essentially different from the experimentally observed dependence.


2004
Modeling the impact of grain boundary properties on microstructural evolution

Much new knowledge has been gained on the properties of grain boundaries that are relevant to processes of microstructural evolution such as grain growth and recrystallization. For mobility, a combination of experiments and numerical simulation has reinforced many of the classical concepts of special crystallographic types with either exceptionally high or exceptionally low mobilities. At another level, the anisotropy of energy of (especially) mobility has long been assumed to play an important role in both grain growth and recrystallizatioll. The process of micro-growth selection is assumed to favor, in fcc metals, the development of cube-oriented nuclei in the early stages of recrystallization. We describe simulations in which initial microstructures with varying degrees of verisimilitude to as-deformed microstructures are used, as well as various assumptions about the grain boundary energy and mobility. From these one it is apparent that the anisotropy does indeed effectively promote the cube component development.


2004
The Monte Carlo Method
2004
Modeling Microstructures in 3D

Many issues in forming are influenced to some degree by the internal structure of the material which is commonly referred to by the materials science community as microstructure. Although the term microstructure is commonly only thought of in the context of grain size, it more properly encompasses all relevant aspects of internal material structure. For the purposes of forming, the most relevant features are the crystallographic orientations of the grains ( texture ) and the locations of the grain boundaries, or, equivalently, the size, topology and shape of the grains. In order to perform realistic simulations one needs to specify the initial state of the material, e.g. on a finite element mesh, with sufficient detail that all these features are reproduced. Measuring microstructure at the scale of individual grains is possible in the synchrotron but scarcely practicable for an analyst. Cross-sections or surfaces are easily evaluated through automated diffraction in the scanning electron microscope (SEM), however. Therefore this paper describes a set of methods for generating statistically representative 3D microstructures based on microscopy input for both single-phase and two-phase materials. Examples are given of application of the technique for generating input structures for recrystallization simulation, dynamic deformation and finite element modeling.


2004
Crystallographic Texture Change During Grain Growth

This article outlines the importance of anisotropic interfacial properties for microstructure evolution. The anisotropic properties of interfaces profoundly affect the development of microstructure during thin film deposition, sintering, grain growth and recrystallization, to name but a few processes. The properties of interfaces vary from mildly anisotropic, as for the energy of the solid-liquid interface, to strongly anisotropic as in the case of diffusion rates along grain boundaries. As a companion to this set of articles on interfacial anisotropy, this article demonstrates the connection between grain boundary anisotropy, primarily in mobility, and texture development during grain growth. A Monte Carlo model is used to investigate the evolution of the so-called cube texture component during grain growth of a polycrystal in which the texture is the result of prior deformation.


2004
Habits of grains in dense polycrystalline solids
2004
Distribution of grain boundaries in aluminum as a function of five macroscopic parameters

The grain boundary character distribution in commercially pure Al has been measured as a function of lattice misorientation and boundary plane orientation. The results demonstrate a tendency to terminate grain boundaries on low index planes with relatively low surface energies and large interplanar spacings. The most frequently observed grain boundary plane orientation is (1 1 1). However, there are also instances where boundaries terminated by higher index planes have significant populations. For example, certain twist configurations on 1 1 w planes, which correspond to symmetric [1 1 0] tilt boundaries, also have relatively high populations. The population of symirietric [1 1 0] tilt boundaries exhibits an inverse relationship with previously measured energies.


2004
Statistically representative three-dimensional microstructures based on orthogonal observation sections

Techniques are described that have been used to create a statistically representative three-dimensional model microstructure for input into computer simulations using the geometric and crystallographic observations from two orthogonal sections through an aluminum polycrystal. Orientation maps collected on the observation planes are used to characterize the sizes, shapes, and orientations of grains. Using a voxel-based tessellation technique, a microstructure is generated with grains whose size and shape are constructed to conform to those measured experimentally. Orientations are then overlaid on the grain structure such that distribution of grain orientations and the nearest-neighbor relationships, specified by the distribution of relative misorientations across grain boundaries, match the experimentally measured distributions. The techniques are applicable to polycrystalline materials with sufficiently compact grain shapes and can also be used to controllably generate a wide variety of hypothetical microstructures for initial states in computer simulations.


2004
The Von Neumann-Mullins theory of grain growth - Valid or not?!

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