Abstract
Recent trends towards integrated computational materials engineering (ICME) demand increasing reliance on modeling and simulation to estimate microstructure-property relations of materials with random microstructures.
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T.M. Pollock and J. Allison, Integrated Computational Materials Engineering: A Transformational Discipline for Improved Competitiveness and National Security (Washington, D.C.: The National Academies Press, 2008).
D. Apelian, National Research Council Report: Accelerating Technology Transition: Bridging the Valley of Death for Materials and Processes in Defense Systems (Washington, D.C.: The National Academies Press, 2004).
T. Oden, T. Belytschko, J. Fishgokhale Dmicrostrucu, T.J.R. Hughes, C. Johnson, D. Keyes, A. Laub, L. Petzold, D. Srolovitz, and S. Yip, Simulation-Based Engineering Science: Revolutionizing Engineering Science through Simulation, Report of NSF Blue Ribbon Panel on Simulation-Based Engineering Science (May 2006) (accessed on 12/21/10), www.nsf.gov/pubs/reports/sbes_final_report.pdf.
D.L. McDowell, JOM, 59(9) (2007), pp. 21–25.
D.L. McDowell and G.B. Olson, Scientific Modeling and Simulation (CMNS), 15(1) (2008), pp. 207–240.
D.L. McDowell, J.H. Panchal, H.-J. Choi, C.C. Seepersad, J.K. Allen, and F. Mistree, Integrated Design of Multiscale, Multifunctional Materials and Products (Atlanta, GA: Elsevier, 2009).
S. Ghosh, J. Bai, and P. Raghavan, Mechanics of Materials, 39(3) (2007), pp. 241–266.
R. Hill, J. Mechanics and Physics of Solids, 11 (1963), pp. 357–372.
D.L. McDowell, Int. J. Plasticity, 26(9) (2010), pp. 1280–1309.
M. Ostoja-Starzewski, Probabilistic Engineering Mechanics, 21 (2006), pp. 112–132.
S. Torquato, Random Heterogeneous Materials (New York: Springer-Verlag, 2002).
H. Singh, A.M. Gokhale, Y. Mao, and J.E. Spowart, Acta Materialia, 54(8) (2006), pp. 2131–2143.
J.R. Willis, Micromechanics and Inhomogeneity, The Toshio Mura Anniversary Volume, ed. G.J. Weng, M. Taya, and H. Abe (Berlin: Springer-Verlag, 1989), pp. 581–597.
T.E. Lacy, D.L. McDowell, and R. Talreja, Mechanics of Materials, 31 (1999), pp. 831–860.
S. Ghosh, Micromechanical Analysis and Multiscale Modeling using the Voronoi Cell Finite Element Method (Boca Raton, FL: CRC Press/Taylor & Francis, 2011).
S. Swaminathan, S. Ghosh, and N.J. Pagano, J. Composite Materials, 40 (2006), pp. 583–604.
S. Swaminathan and S. Ghosh, J. Composite Materials, 40 (2006), pp. 605–621.
R. Pyrz, Composites Science and Technology, 50 (1994), pp. 197–208.
J.E. Spowart, B. Mayurama, and D.B. Miracle, Materials Science and Engineering, A307 (2001), pp. 51–66.
Z. Shan and A.M. Gokhale, Int. J. Plasticity, 20 (2004), pp. 1347–1370.
S. Ghosh, J. Bai, and D. Paquet, J. Mechanics and Physics of Solids, 57(7) (2009), pp. 1017–1044.
D.T. Fullwood, S.R. Niezgoda, S.R. Kalidindi, and B.L. Adams, Progress in Materials Science, 55(6) (2010), pp. 477–562.
S.R. Niezgoda and S.R. Kalidindi, Computers Materials & Continua, 14(2) (2009), pp. 79–97.
S.R. Niezgoda, D.M. Turner, D.T. Fullwood, and S.R. Kalidindi, Acta Materialia, 58 (2010), pp. 4432–4445.
M.J. Beran, Statistical Continuum Theories (New York: Interscience Publishers, 1968).
J.R. Willis, Advances in Applied Mechanics, 21 (1981), pp. 1–78.
D.T. Fullwood, S.R. Kalidindi, B.L. Adams, and S. Ahmadi, Computers Materials & Continua, 9(1) (2009), pp. 25–39.
G. Landi, S.R. Niezgoda, and S.R. Kalidindi, Acta Materialia, 58(7) (2010), pp. 2716–2725.
S.R. Kalidindi, S.R. Niezgoda, G. Landi, S. Vachhani, and T. Fast, Computers, Materials & Continua, 395 (2010), pp. 1–23.
T. Kanit, S. Forest, L. Galliet, V. Mounoury, and D. Jeulin, Int. J. Solids and Structures, 40(13–14) (2003), pp. 3647–3679.
D.L. McDowell, Materials Science and Engineering R: Reports, 62(3) (2008), pp. 67–123.
C.P. Przybyla and D.L. McDowell, Int. J. Plasticity, 26(3) (2010), pp. 372–394.
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McDowell, D.L., Ghosh, S. & Kalidindi, S.R. Representation and computational structure-property relations of random media. JOM 63, 45–51 (2011). https://doi.org/10.1007/s11837-011-0045-y
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DOI: https://doi.org/10.1007/s11837-011-0045-y