Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals

International Journal of Plasticity

Volumn 24, Issue 7, 2008, Pages 1264-1276

  Knezevic, Marko ^a   Kalidindi, Surya R ^a   Fullwood, David ^b  

^a Drexel University   (United States)

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

Author keywords

A. Microstructures; B. Crystal plasticity; B. Viscoplastic material; C. Numerical algorithms; Spectral methods

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DISCRETE FOURIER TRANSFORMS; POLYCRYSTALS; VISCOPLASTICITY;

CRYSTAL PLASTICITY; GENERALIZED SPHERICAL HARMONICS (GSH);

PLASTICITY;

EID: 43049135117     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.12.002     Document Type: Article

References (27)

1. Asaro R.J., and Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica et Materialia 33 6 (1985) 923-953
2. Beaudoin A.J., Dawson P.R., Mathur K.K., and Kocks U.F. A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking. International Journal of Plasticity 11 5 (1995) 501-521
3. Beaudoin A.J., Mathur K.K., Dawson P.R., and Johnson G.C. Three-dimensional deformation process simulation with explicit use of polycrystal plasticity models. International Journal of Plasticity 9 7 (1993) 833-860
4. 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
5. Brigham E.O. The Fast Fourier Transform and Applications (1988), Prentice Hall, Englewood Cliffs
6. Bronkhorst C.A., Kalidindi S.R., and Anand L. Polycrystalline plasticity and the evolution of crystallographic texture in fcc metals. Philosophical Transactions of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 341 1662 (1992) 443-477
7. Bunge H.-J. Texture analysis in materials science. Mathematical Methods (1993), Cuvillier Verlag, Göttingen
8. Bunge H., and Esling C. Texture Development by Plastic Deformation. Scripta Metall 18 (1984) 191-195
9. Cooley J.W., and Tukey J.W. Algorithm for the machine computation of complex Fourier series. Mathematics of Computation 19 (1965) 297-301
10. Delannay L., Kalidindi S.R., and Van Houtte P. Quantitative prediction of textures in aluminium cold rolled to moderate strains. Materials Science and Engineering A 336 1-2 (2002) 233-244
11. Duhamel P., and Vetterli M. Fast fourier transforms: a tutorial review and a state of the art. Signal Processing 19 (1990) 259-299
12. Frank F.C. Orientation mapping. Metallurgical Transactions A 19A (1987) 403-408
13. Heinz A., and Neumann P. Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals. Acta Crystallographica A47 (1991) 780-789
14. Kalidindi R.S., and Duvvuru H.K. Spectral methods for capturing crystallographic texture evolution during large plastic strains in metals. Acta Materialia 53 13 (2005) 3613-3623
15. Kalidindi S.R., and Anand L. An approximate procedure for predicting the evolution of crystallographic texture in bulk deformation processing of fcc metals. International Journal of Mechanical Sciences 34 4 (1992) 309-329
16. Kalidindi S.R., Bronkhorst C.A., and Anand L. Crystallographic texture evolution in bulk deformation processing of fcc metals. Journal of the Mechanics and Physics of Solids 40 3 (1992) 537-569
17. Kalidindi S.R., Duvvuru H.K., and Knezevic M. Spectral calibration of crystal plasticity models. Acta Materialia 54 7 (2006) 1795-1804
18. Knezevic M., and Kalidindi S.R. Fast computation of first-order elastic-plastic closures for polycrystalline cubic-orthorhombic microstructures. Computational Materials Science 39 3 (2007) 643-648
19. Knezevic M., Kalidindi S.R., and Mishra R.K. Delineation of first-order closures for plastic properties requiring explicit consideration of strain hardening and crystallographic texture evolution. International Journal of Plasticity 24 2 (2008) 327-342
20. Li D.S., Garmestani H., and Schoenfeld S. Evolution of crystal orientation distribution coefficients during plastic deformation. Scripta Materialia 49 9 (2003) 867-872
21. Mathur K., and Dawson P.R. On modelling the development of crystallographic texture in bulk forming processes. International Journal of Plasticity 5 (1989) 67-94
22. Proust G., and Kalidindi S.R. Procedures for construction of anisotropic elastic-plastic property closures for face-centered cubic polycrystals using first-order bounding relations. Journal of the Mechanics and Physics of Solids 54 8 (2006) 1744-1762
23. Taylor G.I. Plastic strain in metals. Journal of the Institute of Metals 62 (1938) 307-324
24. Van Houtte P. Application of plastic potentials to strain rate sensitive and insensitive anisotropic materials. International Journal of Plasticity 10 7 (1994) 719-748
25. Van Houtte P., Delannay L., and Kalidindi S.R. Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction. International Journal of Plasticity 18 3 (2002) 359-377
26. Press, William H., Teukolsky, Saul A., Vetterling, William T., Flannery, B.P., 2002. Numerical Recipes in C++: The Art of Scientific Computing, Cambridge University Press.
27. Wu X., Proust G., Knezevic M., and Kalidindi S.R. Elastic-plastic property closures for hexagonal close-packed polycrystalline metals using first-order bounding theories. Acta Materialia 55 8 (2007) 2729-2737