Simulation of the deformation of polycrystalline nanostructured Ti by computational homogenization

Computational Materials Science

Volumn 76, Issue , 2013, Pages 3-11

  Segurado, Javier ^a,b   Llorca, Javier ^a,b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b IMDEA MATERIALS INSTITUTE   (Spain)

Author keywords

Crystal plasticity; Forming processes; Nanostructured Ti; Polycrystal homogenization

Indexed keywords

MICROSTRUCTURE; POLYCRYSTALS; SINGLE CRYSTALS; TITANIUM;

COMPUTATIONAL COSTS; COMPUTATIONAL HOMOGENIZATION; CRYSTAL PLASTICITY; CUBIC FINITE ELEMENTS; ELASTO-VISCOPLASTIC MODELS; MICROSCOPIC MECHANISMS; NANOSTRUCTURED TI; REPRESENTATIVE VOLUME ELEMENT (RVE);

FINITE ELEMENT METHOD;

EID: 84885071968     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2013.03.008     Document Type: Article

References (35)

1. R. Valiev, R. Islamgaliev, I. Alexandrov, Progress in Materials Science 45 (2) (2000) 103-189.
2. I.J. Taylor, G.I., Metals 62 (1938) 307.
3. R. Hill, Journal of the Mechanics and Physics of Solids 14 (2) (1966) 95-102.
4. J. Rice, Journal of the Mechanics and Physics of Solids 19 (6) (1971) 433-455.
5. R. Hill, J. Rice, Journal of the Mechanics and Physics of Solids 20 (6) (1972) 401-413.
6. A. Cuitino, M. Ortiz, Engineering Computations 9 (4) (1992) 437-451.
7. C. Miehe, International Journal for Numerical Methods in Engineering 39 (19) (1996) 3367-3390.
8. R. Asaro, A. Needleman, Acta Metallurgica 33 (6) (1985) 923-953.
9. J. Bassani, T. Wu, Proceedings of the Royal Society of London A 435 (1991) 2141.
10. A. Arsenlis, D. Parks, Journal of the Mechanics and Physics of Solids 50 (9) (2002) 1979-2009.
11. K.-S. Cheong, E. Busso, Acta Materialia 52 (19) (2004) 5665-5675.
12. A. Ma, F. Roters, D. Raabe, Acta Materialia 54 (8) (2006) 2169-2179.
13. J. Eshelby, Proceedings of the Royal Society of London A 252 (1957) 561-569.
14. A. Molinari, G. Canova, S. Ahzi, Acta Metallurgica 35 (12) (1987) 2983-2994.
15. R. Lebensohn, C. Tomé, Acta Metallurgica et Materialia 41 (9) (1993) 2611-2624.
16. J. Segurado, R. Lebensohn, J. Llorca, C. Tomé, International Journal of Plasticity 28 (1) (2012) 124-140.
17. J. Michel, H. Moulinec, P. Suquet, Compuational Methods in Applied Mechanics and Engineering 172 (1999) 109-143.
18. R. Lebensohn, A. Rollett, P. Suquet, JOM 63 (3) (2011) 13-18.
19. C. Miehe, J. Schroeder, J. Schotte, Computer Methods in Applied Mechanics and Engineering 171 (3-4) (1999) 387-418.
20. C. Miehe, J. Schotte, M. Lambrecht, Journal of the Mechanics and Physics of Solids 50 (10) (2002) 2123-2167.
21. Hibbit and Karlsson and Sorensen, Abaqus User's Manual v.6.7, 2007.
22. E. Lee, D. Liu, Journal of Applied Physics 38 (1) (1967) 19-27.
23. J. Hutchinson, Proceedings of the Royal Society of London A 348 (1976) 101-127.
24. C. Tome, G. Canova, U. Kocks, N. Christodoulou, J. Jonas, Acta Metallurgica 32 (10) (1984) 1637-1653.
25. E. de Souza Neto, D. Perić, D. Owen, Computational Methods for Plasticity: Theory and Applications, Wiley, 2008.
26. S.R. Kalidindi, C.A. Bronkhorst, L. Anand, Journal of the Mechanics and Physics of Solids 40 (3) (1992) 537-569.
27. G. Viswanathan, E. Lee, D.M. Maher, S. Banerjee, H.L. Fraser, Acta Materialia 53 (19) (2005) 5101-5115.
28. H. Conrad, Progress in Materials Science 26 (2-4) (1981) 123-403.
29. Q. Yu, Z.-W. Shan, J. Li, X. Huang, L. Xiao, J. Sun, E. Ma, Nature 463 (2010) 335-338.
30. J. Gong, A. Wilkinson, Acta Materialia 57 (19) (2009) 5693-5705.
31. A. King, M. Herbig, W. Ludwig, P. Reischig, E. Lauridsen, T. Marrow, J. Buffiere, Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 268 (34) (2010) 291-296.
32. Dream.3d, http://www.dream3d.bluequartz.net, 2012.
33. J. Segurado, J. LLorca, Journal of the Mechanics and Physics of Solids 50 (2002) 2107-2121.
34. D.V. Gunderov, A.V. Polyakov, I.P. Semenova, G.I. Raab, A.A. Churakova, E.I. Gimaltdinova, I. Sabirov, J. Segurado, V.D. Sitdikov, I.V. Alexandrov, N.A. Enikeev, R.Z. Valliev, Materials Science and Engineering A 562 (2013) 128-136.
35. Z. Zhao, S. Kuchnicki, R. Radovitzky, A. Cuitio, Acta Materialia 55 (2007) 2361-2373.