Conference proceeding
SPECTRAL METHODS IN THE STATISTICAL DESCRIPTION AND DESIGN OF MICROSTRUCTURE
MATERIALS PROCESSING AND TEXTURE, Vol.200, pp.687-699
Ceramic Transactions
01 Jan 2009
Abstract
Various tools are useful in the design of materials from texture and related higher order structure statistics. This paper presents recent results in two key areas - homogenization methods linking the material structure to its properties, and reconstruction techniques that produce material realizations from the statistics.
Homogenization techniques that are based upon material statistics captured by correlation functions have been available for several decades. With recent increases in computational power, and with the added efficiencies of spectral methods, attention has returned to these methods as viable inputs to multiscale models. One such method that involves a more complex integration scheme than the typical Kroner-type approach, is the strong contrast formulation pioneered by Brown, and more recently developed by Torquato. In this paper we utilize spectral techniques to apply the strong contrast formulation to the computationally demanding case of polycrystalline materials, and discuss the potential benefits to material design.
Another important capability in the statistical modeling, analysis and design of materials involves the reconstruction of statistical data in order to recover detailed realizations that can be used in deterministic models. Popular reconstruction techniques such as simulated annealing take large amounts of computational power and time to create relatively small realizations. Recent work, based upon image analysis methods, has resulted in dramatic increases in speed. These advances in reconstruction capabilities are presented and some of the issues inherent in the approach are discussed as they relate to material design.
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Details
- Title
- SPECTRAL METHODS IN THE STATISTICAL DESCRIPTION AND DESIGN OF MICROSTRUCTURE
- Creators
- D. T. Fullwood - Brigham Young Univ, Dept Mech Engn, Provo, UT 84602 USAA. L. Adams - Brigham Young UniversityK. A. Stevens - Brigham Young Univ, Dept Mech Engn, Provo, UT 84602 USAS. R. Niezgoda - Drexel Univ, Dept Mat Sci & Engn, Philadelphia, PA USAS. R. Kalidindi - Drexel Univ, Dept Mat Sci & Engn, Philadelphia, PA USA
- Contributors
- A D Rollett (Editor)
- Publication Details
- MATERIALS PROCESSING AND TEXTURE, Vol.200, pp.687-699
- Series
- Ceramic Transactions
- Publisher
- Amer Ceramic Soc
- Number of pages
- 13
- Grant note
- Army Research Office under David Stepp Office of Naval Research, under Julie Christodoulou National Science Foundation Drexel/UPenn IGERT Program in Nanoscale Science Engineering
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Biodiversity, Earth, and Environmental Science (BEES)
- Identifiers
- 991019170130004721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Materials Science, Multidisciplinary
- Metallurgy & Metallurgical Engineering