Application of Microstructure Sensitive Design to FCC Polycrystals

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Abstract:

Microstructure Sensitive Design (MSD) offers a rigorous mathematical framework for representing the relevant statistical details of the material microstructure for a given design problem, and for developing quantitative invertible relationships between these microstructure representations and the macroscale properties of interest. The methodology makes extensive use of Fourier representations of the distribution functions representing the material internal structure and existing homogenization theories. In this paper, we describe the application of the MSD framework to fcc polycrystals with a specific focus on the crystallographic texture as the microstructure design variable. The advantages of the MSD approach are demonstrated through a number of elastic-plastic property closures for cubic metals.

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Periodical:

Materials Science Forum (Volumes 546-549)

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675-680

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May 2007

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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[1] B.L. Adams, A. Henrie, B. Henrie, M. Lyon, S.R. Kalidindi, and H. Garmestani: Journal of the Mechanics and Physics of Solids Vol. 49 (2001) p.1639.

DOI: 10.1016/s0022-5096(01)00016-3

Google Scholar

[2] B.L. Adams, M. Lyon, and B. Henrie: International Journal of Plasticity Vol. 20 (2004) p.1577.

Google Scholar

[3] S.R. Kalidindi, J.R. Houskamp, M. Lyon, and B.L. Adams: International Journal of Plasticity Vol. 20 (2004) p.1561.

Google Scholar

[4] Bunge, H. -J., Texture Analysis in Materials Science. 1982, London: Butterworths.

Google Scholar

[5] Kalidindi, S.R., Houskamp J., Lyon, M., and Adams, B. L. International Journal of Plasticity, 2004. 20(8-9): pp.1561-1575.

Google Scholar

[6] Lyon, M. and B.L. Adams. Journal of the Mechanics and Physics of Solids 2004. 52(11): pp.2569-2586.

Google Scholar

[7] Beran, M.J., Statistical Continuum Theories. 1968, New York: Interscience Publishers.

Google Scholar

[8] Kröner, E. J. Mech. Phys. Solids, 1977. 25: pp.137-155.

Google Scholar

[9] Adams, B.L. and T. Olson. Progress in Materials Science, 1998. 43(1): pp.1-87.

Google Scholar

[10] Proust, G. and S.R. Kalidindi. Journal of the Mechanics and Physics of Solids, 2006. 54(11): pp.1744-1762.

Google Scholar

[11] Taylor, G.I. Journal of the Institute of Metals, 1938. 62: pp.307-324.

Google Scholar

[12] Kalidindi, S.R., C.A. Bronkhorst, and L. Anand. Journal of the Mechanics and Physics of Solids, 1992. 40(3): pp.537-569.

Google Scholar