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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.

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References
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Normal-boundary intersection: an alternate method for generating pareto optimal points in multicriteria optimization problems

TL;DR: It can be rigorously proved that this method can be easily extended in case of more than two objectives while retaining the computational efficiency of continuation-type algorithms, which is an improvement over homotopy techniques for tracing the tradeoff curve.
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Inversion of Pole Figures for Materials Having Cubic Crystal Symmetry

TL;DR: In this article, the orientation distribution of all crystallites in the sample is deduced by a procedure described in a previous paper, in which the crystallite distribution function is expanded in a series of generalized Legendre functions.
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Variational treatment of the elastic constants of disordered materials

TL;DR: In this paper, a variational principle is derived to obtain upper and lower bounds for the effective elastic constants of disordered materials, such as polycrystals or multiphase materials.
Journal ArticleDOI

Defectiveness of weighting method in multicriterion optimization of structures

TL;DR: In this article, two simple truss examples, one static and one dynamic problem, are presented to show that this situation easily occurs in optimum structural design also, and the weighting method may fail in generating the Pareto optimal set of a multicriterion problem in non-convex cases.
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