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Microstructure Sensitive Design for Performance Optimization
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TLDR
This review presents the MSD framework in the context of both the engineering advances that have led to its creation, and those that complement or provide alternative methods for design of materials (meaning ‘optimization of material structure’ in this context).Abstract:
The accelerating rate at which new materials are appearing, and transforming the engineering world, only serves to emphasize the vast potential for novel material structure, and related performance. Microstructure-sensitive design (MSD) aims at providing inverse design methodologies that facilitate design of material internal structure for performance optimization. Spectral methods are applied across the structure, property and processing design spaces in order to compress the computational requirements for linkages between the spaces and enable inverse design. Research has focused mainly on anisotropic, polycrystalline materials, where control of local crystal orientation can result in a broad range of property combinations. This review presents the MSD framework in the context of both the engineering advances that have led to its creation, and those that complement or provide alternative methods for design of materials (meaning ‘optimization of material structure’ in this context). A variety of definitions for the structure of materials are presented, with an emphasis on correlation functions; and spectral methods are introduced for compact descriptions and efficient computations. The microstructure hull is defined as the design space for structure in the spectral framework. Reconstruction methods provide invertible links between statistical descriptions of structure, and deterministic instantiations. Subsequently, structure–property relations are reviewed, and again subjected to representation via spectral methods. The concept of a property closure is introduced as the design space for performance optimization, and methods for moving between the closures and hulls are presented as the basis for the subsequent discussion on microstructure design. Finally, the spectral framework is applied to deformation processes, and methodologies that facilitate process design are reviewed.read more
Citations
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Stochastic modeling of the polygonal microstructures of alloys using representative microscopic images
TL;DR: In this article, the mean and standard deviation of the grain area distribution obtained from scanning electron microscopy images of 2D surface slices are employed to generate the statistically equivalent polygonal mesh-based finite element modeling.
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Sensitivity analysis on globularized fraction of α lamellae in titanium alloys
TL;DR: In this paper, the sensitivity analysis functions on globularized fraction of α lamellae were established using a physically-based microstructure model and gradient method using a genetic algorithm-based objective optimization technique.
The triple junction hull: Tools for grain boundary network design
TL;DR: In this paper, a spectral representation of grain boundary network statistics has been proposed to facilitate rigorous design and optimization of the grain boundary networks, and the connection between a local length scale, embodied by triple junctions, and a global length scale is identified.
Journal ArticleDOI
Generating polycrystalline microstructures with prescribed tensorial texture coefficients
TL;DR: In this paper , a texture coefficient optimization for prescribing orientations method is proposed for digital polycrystalline microstructures, enabling the determination of representative orientations for digital POMs.
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
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