Understanding and visualizing microstructure and microstructure variance as a stochastic process

Acta Materialia

Volumn 59, Issue 16, 2011, Pages 6387-6400

  Niezgoda, Stephen R ^a   Yabansu, Yuksel C ^b   Kalidindi, Surya R ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b Drexel University   (United States)

Author keywords

Microstructure variance; Principal component analysis; Property variance; Structure property relationships; Two point correlations

Indexed keywords

HIGHER ORDER; MATERIALS CLASS; MATERIALS SCIENCE AND ENGINEERING; MICROSTRUCTURE-PROPERTY RELATIONSHIPS; PRINCIPAL COMPONENTS; PROPERTY VARIANCE; STOCHASTIC PROCESS; STRUCTURE PROPERTY RELATIONSHIPS; SYSTEMATIC FRAMEWORK; TWO-POINT CORRELATION;

PRINCIPAL COMPONENT ANALYSIS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; STOCHASTIC SYSTEMS; STRUCTURAL PROPERTIES; VISUALIZATION;

MICROSTRUCTURE;

EID: 80051794631     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2011.06.051     Document Type: Article

References (50)

1. A. Tewari, A.B. Gokhale, J.E. Spowart, and D.B. Miracle Acta Mater 52 2004 307 319
2. S. Torquato Random heterogeneous materials 2002 Springer-Verlag New York
3. D.T. Fullwood, S.R. Niezgoda, B.L. Adams, and S.R. Kalidindi Prog Mater Sci 55 2010 477 562
4. A.M. Gokhale Microsc Microanal 10 2004 736 737
5. M. Huang Int J Solids Struct 42 2005 1425 1441
6. P.I. Etingof, D.D. Sam, and B.L. Adams Philos Mag A Phys Condens Matter Def Mech Propert 72 1995 199
7. B. Lu, and S. Torquato Phys Rev A 45 1992 922
8. H. Singh, A.M. Gokhale, S.I. Lieberman, and S. Tamirisakandala Mater Sci Eng A 474 2008 104 111
9. B.D. Ripley Mapped point patterns. Spatial statistics 2005 John Wiley and Sons Hoboken, NJ p. 144-90
10. S. Torquato Phys Rev E 51 1995 3170
11. R. Piasecki Proc R Soc A 467 2011 806 820 10.1098/rspa.2010.0296
12. K.P. Burnham, and D.R. Anderson Model selection and multimodel inference: a practical information - theoretic approach 2002 Springer New York
13. B.L. Adams, X. Gao, and S.R. Kalidindi Acta Mater 53 2005 3563 3577
14. Y. Jiao, F.H. Stillinger, and S. Torquato Phys Rev E 76 2007 031110 031115
15. R. Pyrz Mater Sci Eng A 177 1994 253 259
16. C.L.Y. Yeong, and S. Torquato Phys Rev E 57 1998 495 506
17. D.T. Fullwood, S.R. Niezgoda, and S.R. Kalidindi Acta Mater 56 2008 942 948
18. J. Zeman, and M. Sejnoha Modell Simul Mater Sci Eng 2007 S325
19. G.B. Olson Science 277 1997 1237 1242
20. G.B. Olson Science 228 2000 933 998
21. National Research Council Committee on Integrated Computational Materials E. Integrated computational materials engineering: a transformational discipline for improved competitiveness and national security. Washington, DC: National Academies Press; 2008.
22. A. Papoulis, and S.U. Pillai Probability, random variables, and stochastic processes 2002 McGraw-Hill Boston, MA
23. R.-J. Roe J Appl Phys 36 1965 2024 2031
24. J. Pospiech, and K. Lücke Acta Metall 23 1975 997 1007
25. S.M. Schmid, M. Casey, and J. Starkey Tectonophysics 78 1981 101 117
26. H.J. Bunge Texture analysis in materials science: mathematical methods 1982 Butterworths London
27. B.L. Adams, H. Garmestani, and G. Saheli J Comput-Aid Mater Des 11 2004 103 115
28. B.L. Adams, P.I. Etingof, and D.D. Sam Mater Sci Forum 157 1994 287 294
29. S.R. Niezgoda, D.T. Fullwood, and S.R. Kalidindi Acta Mater 56 2008 5285 5292
30. K. Fukunaga Introduction to statistical pattern recognition 1990 Academic Press Boston, MA
31. M. Turk, and A. Pentland J Cognit Neurosci 3 1991 71
32. Y. Li Pattern Recognit 37 2004 1509 1518
33. V. Sundararaghavan, and N. Zabaras Acta Mater 52 2004 4111 4119
34. V. Sundararaghavan, and N. Zabaras Comp Mater Sci 32 2005 223 239
35. B. Ganapathysubramanian, and N. Zabaras J Comput Phys 227 2008 6612 6637
36. J.C. Gower Biometrika 53 1966 325 338
37. Y. Jian, D. Zhang, A.F. Frangi, and Y. Jing-yu IEEE Trans Pattern Anal Machine Intell 26 2004 131 137
38. K.Q. Weinberger, and L.K. Saul J Mach Learn Res 10 2009 207 244
39. J.W. Gardner Sens Actuat B Chem 4 1991 109 115
40. Beveridge JR, Kai S, Bruce AD, Geof HG. In: IEEE computer society conference on computer vision and pattern recognition (CVPR'01), vol. 1; 2001. p. 535.
41. A.K. Jain, R.P.W. Duin, and M. Jianchang IEEE Trans Pattern Anal Machine Intell 22 2000 4 37
42. D. Peña, and J. Rodríguez J Multivar Anal 85 2003 361 374
43. G.A.F. Seber Multivariate observations 2004 Wiley-Interscience Hobocken, NJ
44. Niezgoda SR. PhD dissertation, Drexel University, Philadelpha, PA; 2010.
45. A.M. Zoubir, and D.R. Iskander Bootstrap techniques for signal processing 2004 Cambridge England
46. G.A. Young Stat Sci 9 1994 382 395
47. T.J. Diciccio, and J.P. Romano J Roy Stat Soc B Methodol 50 1988 338 354
48. S.R. Niezgoda, D.M. Turner, D.T. Fullwood, and S.R. Kalidindi Acta Mater 58 2010 4432 4445
49. Björck Numerical methods for least squares problems 1996 SIAM Philadelphia, PA
50. J.A. Lee, and M. Verleysen Nonlinear dimensionality reduction 2007 Springer New York