Representation of the orientation distribution function and computation of first-order elastic properties closures using discrete Fourier transforms

Acta Materialia

Volumn 57, Issue 13, 2009, Pages 3916-3923

  Kalidindi, Surya R ^a   Knezevic, Marko ^a   Niezgoda, Stephen ^a   Shaffer, Joshua ^a  

^a Drexel University   (United States)

Author keywords

Discrete Fourier transform; First order closures; Generalized spherical harmonics; Orientation distribution function; Texture

Indexed keywords

COMPUTATIONAL ECONOMY; COUPLING STIFFNESS; ELASTIC PROPERTIES; EULER SPACE; FIRST-ORDER; FIRST-ORDER CLOSURES; FOURIER BASIS; GENERALIZED SPHERICAL HARMONICS; ORIENTATION DISTRIBUTION FUNCTION; SPHERICAL HARMONICS;

BLOCK CODES; COMPUTATIONAL EFFICIENCY; CRYSTAL SYMMETRY; DISTRIBUTION FUNCTIONS; ELASTICITY; HARMONIC ANALYSIS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DENSITY FUNCTION; SPHERES; TEXTURES;

DISCRETE FOURIER TRANSFORMS;

EID: 67649101352     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2009.04.055     Document Type: Article

References (37)

1. Adams B.L., Lyon M., and Henrie B. Int J Plast 20 (2004) 1577
2. Adams B.L., Henrie A., Henrie B., Lyon M., Kalidindi S.R., and Garmestani H. J Mech Phys Solids 49 (2001) 1639
3. Proust G., and Kalidindi S.R. J Mech Phys Solids 54 (2006) 1744
4. Zhao Z., Roters F., Mao W., and Raabe D. Adv Eng Mater 3 (2001) 984
5. Bohlke T, Bertram A. In: 6th European mechanics of materials conference on non-linear mechanics of anisotropic materials EUROMECH-MECAMAT'2002, 9-12 September 2002, vol. 105. Liège: EDP Sciences; 2003. p. 167.
6. Bunge H.J., and Esling C. Scripta Metall 18 (1984) 191
7. Taylor G.I. J Inst Met 62 (1938) 307
8. Adams B.L., and Olson T. Prog Mater Sci 43 (1998) 1
9. Bunge H. Texture analysis in materials science (1982), Butterworths, London
10. Randle V., and Engler O. Introduction to texture analysis. Macrotexture, microstructure and orientation mapping (2000), Gordon & Breach, Amsterdam
11. Wu X., Proust G., Knezevic M., and Kalidindi S.R. Acta Mater 55 (2007) 2729
12. Knezevic M., Kalidindi S.R., and Mishra R.K. Int J Plast 24 (2008) 327
13. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical recipes in C++; 2002.
14. Briggs W.L., and Henson V.E. The DFT: an owner's manual for the discrete Fourier transform (1995), Society for Industrial and Applied Mathematics, Philadelphia (PA)
15. Brigham E.O. The fast Fourier transform and its applications (1988), Prentice Hall, Englewood Cliffs (NJ)
16. Cooley J.W., and Tukey J.W. Math Comput 19 (1965) 297
17. Duhamel P., and Vetterli M. Signal Process 19 (1990) 259
18. Matthies S., Wenk H.-R., and Vinel G.W. J Appl Crystallogr 21 (1988) 285
19. Barton N.R., Boyce D.E., and Dawson P.R. Textures Microstruct 35 (2002) 113
20. Carslaw H.S. Introduction to the theory of Fourier's series and integrals (1921), Macmillan, London
21. Porter D.A., and Easterling K.E. Phase transformations in metals and alloys (1981), Van Nostrand Reinhold, New York
22. TM). Version 5.1. EDAX-AMETEK.
23. Wright S.I., Adams B.L., and Kunze K. Mater Sci Eng A 160 (1993) 229
24. Adams B.L., Wright S.I., and Kunze K. Metall Trans A: Phys Metall Mater Sci 24A (1993) 819
25. Bozzolo N., Gerspach F., Sawina G., and Wagner F. J Microsc 227 (2007) 275
26. Baudin T., Jura J., Penelle R., and Pospiech J. J Appl Crystallogr 28 (1995) 582
27. Wright S.I., and Adams B.L. Textures Microstruct 12 (1990) 65
28. Gonzalez R.C., and Woods R.E. Digital image processing (2008), Pearson/Prentice Hall, Upper Saddle River (NJ)
29. Van Houtte P., Delannay L., and Kalidindi S.R. Int J Plast 18 (2002) 359
30. Houskamp J.R., Proust G., and Kalidindi S.R. Int J Multiscale Comput Eng 5 (2007) 261
31. Hill R. In: Proceedings of the Physical Society. Section A; 1952. p. 349.
32. Paul B. Trans Metall Soc AIME (1960) 36
33. Kalidindi S.R., Binci M., Fullwood D., and Adams B.L. Acta Mater 54 (2006) 3117
34. Fullwood D.T., Adams B.L., and Kalidindi S.R. Computat Mater Sci 38 (2007) 788
35. Fast T., Knezevic M., and Kalidindi S.R. Comput Mater Sci 43 (2008) 374
36. Knezevic M., and Kalidindi S.R. Comput Mater Sci 39 (2007) 643
37. Knezevic M., Al-Harbi H.F., and Kalidindi S.R. Acta Mater 57 (2009) 1777