Optimized structure based representative volume element sets reflecting the ensemble-averaged 2-point statistics

Acta Materialia

Volumn 58, Issue 13, 2010, Pages 4432-4445

  Niezgoda, Stephen R ^a   Turner, David M ^a   Fullwood, David T ^b   Kalidindi, Surya R ^a  

^a Drexel University   (United States)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

2 Point correlations; Microstructure; Representative volume element; Statistics; Structure property relationships

Indexed keywords

HIERARCHICAL SYSTEMS; MICROSTRUCTURE; STATISTICS;

2-POINT CORRELATIONS; ENSEMBLE-AVERAGED; HIERARCHICAL MATERIALS; MICROSTRUCTURE PROCESSING; OPTIMIZED STRUCTURES; PRECISE DEFINITION; REPRESENTATIVE VOLUME ELEMENT (RVE); STRUCTURE PROPERTY RELATIONSHIPS;

VOLUME MEASUREMENT;

EID: 79955866796     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2010.04.041     Document Type: Article

References (61)

1. Beran MJ. Statistical continuum theories. New York: Interscience Publishers; 1968.
2. Drugan WJ, Willis JR. J Mech Phys Solids 1996;44:497.
3. Hazanov S, Huet C. J Mech Phys Solids 1994;42:1995.
4. Huet C. J Mech Phys Solids 1990;38:813.
5. Kanit T, Forest S, Galliet I, Mounoury V, Jeulin D. Int J Solids Struct 2003;40:3647.
6. Sab K. Eur J Mech A Solids 1992;11:505.
7. Willis JR. Adv Appl Mech 1981;21.
8. Ostoja-Starzewski M. Microstructural randomness and scaling in mechanics of materials. Boca Raton (FL): Chapman & Hall/CRC; 2008.
9. Hill R. J Mech Phys Solids 1963;11:357.
10. Kröner E. Z Phys A - Hadron Nucl 1958;151:504.
11. Gusev AA. J Mech Phys Solids 1997;45:1449.
12. Nemat-Nasser S, Hori M. Micromechanics: overall properties of heterogeneous materials. Amsterdam: Elsevier; 1999.
13. Milton GW. The theory of composites. Cambridge: Cambridge University Press; 2002.
14. McCoy J. Mech Today 1981;6.
15. Hornung U. Homogenization and porous media. New York: Springer; 1997.
16. Cherkaev A. Variational methods for structural optimization. New York: Springer; 1991.
17. Chen XL, Liu YJ. Comput Mater Sci 2004;29:1.
18. Shan Z, Gokhale AM. Comput Mater Sci 2002;24:361.
19. Ostoja-Starzewski M. Probab Eng Mech 2006;21:112.
20. Kalidindi SR, Binci M, Fullwood D, Adams BL. Acta Mater 2006;54:3117.
21. Adams BL, Gao X, Kalidindi SR. Acta Mater 2005;53:3563.
22. Torquato S. Random heterogeneous materials. New York: Springer; 2002.
23. Adams BL, Garmestani H, Saheli G. J Compu-Aided Mater Des 2004;11:103.
24. Tewari A, Gokhale AB, Spowart JE, Miracle DB. Acta Mater 2004;52:307.
25. Gokhale AM. Microsc Microanal 2004;10:736.
26. Huang M. Int J Solids Struct 2005;42:1425.
27. Etingof PI, Sam DD, Adams BL. Philos Mag A 1995;72:199.
28. Niezgoda SR, Fullwood DT, Kalidindi SR. Acta Mater 2008;56:5285.
29. Sivel VGM, Van Den Brand J, Wang WR, Mohdadi H, Tichelaar FD PFA, Alkemade PFA, et al. J Microsc 2004;214:237.
30. Giannuzzi LA, Stevie FA. Introduction to focused ion beams: instrumentation, theory, techniques, and practice. New York: Springer; 2005.
31. Spowart J, Mullens H, Puchala B. JOM - J Miner Metals Mater Soc 2003;55:35.
32. Spowart JE. Scr Mater 2006;55:5.
33. Salvo L, Cloetens P, Maire E, Zabler S, Blandin JJ, Buffière JY, et al. Nucl Instrum Methods Phys Res, Sec B 2003;200:273.
34. Midgley PA, Weyland M. Ultramicroscopy 2003;96:413.
35. Bunge H. Texture analysis in materials science. Butterworth; 1982.
36. Adams BL. Ultramicroscopy 1997;67:11.
37. Kocks UF, Tome' CN, Wenk H-R. Texture and anisotropy. Cambridge: Cambridge University Press; 1998.
38. Adams BL, Wright SI, Kunze K. Metall Trans A (Phys Metall Mater Sci) 1993;24A:819.
39. Wright SI. J Comput-Assist Microsc 1993;5:207.
40. Gao X, Przybyla CP, Adams BL. Metall Mater Trans A 2006;37:2379.
41. Torquato S, Lu B. Phys Rev E 1993;47:2950.
42. Fullwood DT, Kalidindi SR, Niezgoda SR, Fast T, Hampson N. Mater Sci Eng, A 2008;494:68.
43. Fullwood DT, Niezgoda SR, Kalidindi SR. Acta Mater 2008;56:942.
44. Cule D, Torquato S. J Appl Phys 1999;86:3428.
45. Barkat M. Signal detection and estimation. Boston (MA): Artech House; 1991.
46. Basawa IV, Prakasa Rao BLS. Statistical inference for stochastic processes. London: Academic Press; 1980.
47. Westerweel J, Geelhoed PF, Lindken R. Exp Fluids 2004;37:375.
48. Roux P, Sabra KG, Kuperman WA, Roux A. J Acoust Soc Am 2005;117:79.
49. Ohser J, Mücklich F. Statistical analysis of microstructures in materials science. Chichester: Wiley; 2000.
50. Binci M, Fullwood D, Kalidindi SR. Acta Mater 2008;56:2272.
51. Kalidindi SR, Landi G, Fullwood DT. Acta Mater 2008;56:3843.
52. Walker JS. Fast Fourier transform. Boca Raton (FL): CRC Press; 1996.
53. Brigham EO. The Fast Fourier transform and applications. Englewood Cliffs (NJ): Prentice Hall; 1988.
54. Proust G, Kalidindi SR. J Mech Phys Solids 2006;54:1744.
55. Paul B. Trans Metall Soc AIME 1960:36.
56. Hill R. Proc Roy Soc Lond Ser A, Math Phys Sci 1952;65:349.
57. Hill R. Proc Roy Soc Lond Ser A, Math Phys Sci 1948;193:281.
58. Kalidindi SR, Bronkhorst CA, Anand L. J Mech Phys Solids 1992;40:537.
59. Knezevic M, Kalidindi SR. Comput Mater Sci 2007;39:643.
60. Brahme A, Alvi MH, Saylor D, Fridy J, Rollett AD. Scr Mater 2006;55:75.
61. Zeman J, Šejnoha M. Modell Simul Mater Sci Eng 2007:S325.