Spectral approaches for the fast computation of yield surfaces and first-order plastic property closures for polycrystalline materials with cubic-triclinic textures

Computers, Materials and Continua

Volumn 15, Issue 2, 2010, Pages 153-172

  Al Harbi, Hamad F ^a   Knezevic, Marko ^a,b   Kalidindi, Surya R ^a  

^a Drexel University   (United States)

^b Scientific Forming Technologies Corporation   (United States)

Author keywords

Crystal plasticity models; First order closures; Spectral method; Yield surfaces

Indexed keywords

BCC METALS; BODY-CENTERED CUBIC; COMPUTATIONAL ADVANTAGES; CRYSTAL PLASTICITY; CRYSTAL PLASTICITY MODELS; DEFORMATION PATH; FACE-CENTERED CUBIC; FAST COMPUTATION; FCC METALS; FIRST-ORDER; FIRST-ORDER CLOSURE; PLASTIC PROPERTY; SIMPLIFYING ASSUMPTIONS; SLIP SYSTEM; SPECTRAL DATABASE; SPECTRAL METHODS; TAYLOR MODELS; YIELD SURFACE;

COMPUTATIONAL EFFICIENCY; DATABASE SYSTEMS; PLASTICITY; POLYCRYSTALLINE MATERIALS; SPECTROSCOPY; SURFACES;

METALS;

EID: 77954195006     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. Adams, B. L., A. Henrie, B. Henrie, M. Lyon, S. R. Kalidindi, H. Garmestani (2001): Microstructure-sensitive design of a compliant beam. Journal of the Mechanics and Physics of Solids 49(8):1639-1663.
2. Adams, B. L., M. Lyon, B. Henrie (2004): Microstructures by design: linear problems in elastic-plastic design. International Journal of Plasticity 20(8-9):1577-1602.
3. Asaro, R. J., A. Needleman (1985): Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica et Materialia 33(6):923-953.
4. Briggs, W. L., V. E. Henson (1995): The DFT: an owner's manual for the discrete Fourier transform. Philadelphia, Society for Industrial and Applied Mathematics.
5. Brigham, E. O. (1988): The fast Fourier transform and its applications. Englewood Cliffs, Prentice Hall.
6. Bunge, H.-J. (1993): Texture analysis in materials science. Mathematical Methods. Göttingen, Cuvillier Verlag.
7. Cherkaev, A. V. (2000): Variational Methods for Structural Optimization, Springer, New York.
8. Cooley, J. W., J. W. Tukey (1965): Algorithm for the machine computation of complex Fourier series. Mathematics of Computation 19:297-301.
9. Duhamel, P., M. Vetterli (1990): Fast Fourier Transforms: A Tutorial Review and a State of the Art. Signal Processing 19:259-299.
10. Fast, T., M. Knezevic, S. R. Kalidindi (2008): Application of microstructure sensitive design to structural components produced from hexagonal polycrystalline metals. Computational Materials Science 43(2):374-383.
11. Fullwood, D. T., B. L. Adams, S. R. Kalidindi (2007): Generalized Pareto front methods applied to second-order material property closures. Computational Materials Science 38(4):788-799.
12. Houskamp, J. R., G. Proust, S. R. Kalidindi (2007): Integration of microstructuresensitive design with finite element methods: Elastic-plastic case studies in FCC polycrystals. International Journal for Multiscale Computational Engineering 5(3-4):261-272.
13. Kalidindi, S. R., M. Binci, D. Fullwood, B. L. Adams (2006): Elastic properties closures using second-order homogenization theories: Case studies in composites of two isotropic constituents. Acta Materialia 54(11):3117-3126.
14. Kalidindi, S. R., C. A. Bronkhorst, L. Anand (1992): Crystallographic texture evolution in bulk deformation processing of FCC metals. Journal of the Mechanics and Physics of Solids 40(3):537-569.
15. Kalidindi, S. R., J. R. Houskamp, M. Lyons, B. L. Adams (2004): Microstructure sensitive design of an orthotropic plate subjected to tensile load. International Journal of Plasticity 20(8-9):1561-1575.
16. Kalidindi, S. R., M. Knezevic, S. Niezgoda, J. Shaffer (2009): Representation of the orientation distribution function and computation of first-order elastic properties closures using discrete Fourier transforms. Acta Materialia 57(13):3916-3923.
17. Knezevic, M., H. F. Al-Harbi, S. R. Kalidindi (2009): Crystal plasticity simulations using discrete Fourier transforms. Acta Materialia 57(6):1777-1784.
18. Knezevic, M., S. R. Kalidindi (2007): Fast computation of first-order elasticplastic closures for polycrystalline cubic-orthorhombic microstructures. Computational Materials Science 39(3):643-648.
19. Knezevic, M., S. R. Kalidindi, D. Fullwood (2008): Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals. International Journal of Plasticity 24(7):1264-1276.
20. Knezevic, M., S. R. Kalidindi, R. K. Mishra (2008): Delineation of first-order closures for plastic properties requiring explicit consideration of strain hardening and crystallographic texture evolution. International Journal of Plasticity 24(2):327-342.
21. Lurie, K. A. (2004): A stable spatio-temporal G-closure and Gm-closure of a set of isotropic dielectrics with respect to one-dimensional wave propagation. Wave Motion 40(2):95-110.
22. Lyon, M., B. L. Adams (2004): Gradient-based non-linear microstructure design. Journal of the Mechanics and Physics of Solids 52(11):2569-2586.
23. Murat, F., L. Tartar (1985): Optimality conditions and homogenization. In: Marino, A., Modica, L., Spagnolo, S., Deqiovannieds, M. (Eds.), Non-linear variational problems, Research Notes in Mathematics, Pitman, London.
24. Peeters, B., M. Seefeldt, C. Teodosiu, S. R. Kalidindi, P. Van Houtte, E. Aernoudt (2001): Work-hardening/softening behaviour of b.c.c. polycrystals during changing strain paths: I. An integrated model based on substructure and texture evolution, and its prediction of the stress-strain behaviour of an IF steel during two-stage strain paths. Acta Materialia 49(9):1607-1619.
25. Press, W. H., S. A. Teukolsky, W. T. Vetterling, B. P. Flannery (2002): Numerical Recipes in C++.
26. Proust, G., S. R. Kalidindi (2006): Procedures for construction of anisotropic elastic-plastic property closures for face-centered cubic polycrystals using firstorder bounding relations. Journal of the Mechanics and Physics of Solids 54(8):1744-1762.
27. Randle, V., O. Engler (2000): Introduction to Texture Analysis. Macrotexture, Microstructure & Orientation Mapping, Gordon and Breach Science Publishers.
28. Taylor, G. I. (1938): Plastic strain in metals. Journal of the Institute of Metals 62:307-324.
29. Van Houtte, P. (1994): Application of plastic potentials to strain rate sensitive and insensitive anisotropic materials. International Journal of Plasticity 10(7):719-748.
30. Wu, X., G. Proust, M. Knezevic, S. R. Kalidindi (2007): Elastic-plastic property closures for hexagonal close-packed polycrystalline metals using first-order bounding theories. Acta Materialia 55(8):2729-2737.