Inelastic deformation of polycrystalline face centered cubic materials by slip and twinning

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 4, 1998, Pages 671-673

  Staroselsky, A ^a   Anand, L ^a  

^a USA   (United States)

Author keywords

A. twinning; B. constitutive behavior; B. crystal plasticity; C. finite elements; C. mechanical testing

Indexed keywords

COMPRESSIVE STRESS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; HARDENING; MATHEMATICAL MODELS; PLASTICITY; POLYCRYSTALLINE MATERIALS; SINGLE CRYSTALS; STACKING FAULTS; STRAIN; TWINNING;

CRYSTALLOGRAPHIC SLIP; FACE CENTERED CUBIC MATERIALS; STRESS STRAIN CURVES;

PLASTIC DEFORMATION;

EID: 0032042526     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00071-9     Document Type: Article

References (34)

1. ABAQUS (1995) Reference Manuals. Hibbitt, Karlsson and Sorensen Inc., Pawtucket, R.I.
2. Anand, L. and Kalidindi, S. R. (1994) The process of shear band formation in plane strain compression of f.c.c. metals: effects of crystallographic texture. Mechanics of Materials 17, 223-243.
3. Anand, L. and Kothari, M. (1996) A computational procedure for rate-independent plasticity. Journal of the Mechanics and Physics of Solids 44, 525-558.
4. Asaro, R. J. and Needleman. A. (1985) Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica 33, 923-953.
5. Asgari, S., Kalidindi, S. and Doherty, R. D. (1997) Strain hardening and microstructural evolution during large strain compression of low stacking fault energy f.c.c. alloys that form deformation twins. Metallurgical Transactions, submitted.
6. Balasubramanian, S. and Anand, L. (1996) Single crystal and polycrystal elasto-viscoplasticity : application to earing in cup drawing of f.c.c. materials. Computational Mechanics 17, 209-225.
7. Beaudoin, A. J., Dawson, P. R., Mathur, K. K., Kocks, U. F. and Korzekwa, D. A. (1994) Application of polycrystalline plasticity to sheet forming. Computer Methods in Applied Mechanics and Engineering 117, 49-70.
8. Bronkhorst, C. A., Kalidindi, S. R. and Anand, L. (1992) Polycrystal plasticity and the evolution of crystallographic texture in f.c.c. metals. Philosophical Transactions of the Royal Society London A 341, 443-477.
9. Chin, G. Y., Hosford, W. F. and Mendorf, D. R. (1969) Accommodation of constrained deformation in f.c.c. metals by slip and twinning. Proceedings of the Royal Society A 309, 433-456.
10. Chin, G. Y. and Mammel, W. L. (1969) Generalization and equivalence of the minimum work (Taylor) and maximum work (Bishop-Hill) principles of crystal plasticity. Transactions of AIME 245, 1211-1214.
11. Chin, G. Y. (1975) Development of deformation textures. In Constitutive Equations in Plasticity, ed. A. S. Argon, pp. 431-447.
12. Dillamore, I. L. and Roberts, W. T. (1964) Rolling textures in f.c.c. and b.c.c. metals. Acta Metallurgica 12, 281-293.
13. Fletcher, R. and Powell, M. J. (1963) A rapidly convergent descent method for minimization. Computer Journal 6, 163-168.
14. Fletcher, R. and Reeves, C. M. (1964) Function minimization by conjugate gradients. Computer Journal 7(2), 149-154.
15. Goodman, S. R. and Hu, H. (1968) Texture development in copper and 70-30 brass. Transactions of the Metallurgical Society of AIME 242, 88-93.
16. Hirsch, J., Luke, K and Hatherly, M. (1988) Mechanism of deformation and development of rolling textures in polycrystalline f.c.c. metals (Part III). Acta Metallurgica 36(11), 2905-2927.
17. Kalidindi, S. R., Bronkhorst, C. A. and Anand, L. (1992) Crystallographic texture evolution during bulk deformation processing of f.c.c. metals. Journal of the Mechanics and Physics of Solids 40, 537-569.
18. Kallend, J. S., Kocks, U. F., Rollett, A. D. and Wenk, H. R. (1991) popLA : The Preferred Orientation Package from Los Alamos. Los Alamos National Laboratory.
19. Kelly, A. and Groves, G. W. (1970) Crystallography and Crystal Defects. Longman, London pp. 290-312.
20. Lebensohn, R. A. and Tome, C. N. (1994) A self-consistent viscoplastic model: prediction of rolling textures of anisotropic polycrystals. Materials Science and Engineering A175, 71-82.
21. Leffers, T. (1991) Microstructures, textures, and deformation patterns at large strain. In MECAMAT'91. Balkema, Rotterdam, pp. 73-86.
22. Leffers, T. and Bilde-Sorensen, J. B. (1990) Intra- and intergranular heterogeneities in plastic deformation of brass during rolling. Acta Metallurgica et Materialia 38, 1917-1926.
23. Leffers, T. and Jensen, D. J. (1993) In Textures and Microstructures 14-18, 933-952.
24. Mathur, K. K. and Dawson, P. R. (1989) On modeling and development of crystallographic texture in bulk forming processes. International Journal of Plasticity 5, 67-94.
25. Mathur, K. K. and Dawson, P. R. (1990) Texture development during wire drawing. ASME Journal of Engineering Materials and Technology 112, 292-297.
26. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. (1986) Numerical Recipes : The Art of Scientific Computing. Cambridge University Press, Cambridge, U.K.
27. Simmons, G. and Wang, H. (1971) Single Crystal Elastic Properties and Calculated Aggregate Properties : A HANDBOOK. The MIT Press, Cambridge, U.S.A.
28. Smallman, R. E. and Green, D. (1964) The dependence of rolling texture on stacking fault energy. Acta Metallurgica 12, 145-154.
29. Taylor, G. I. (1938a) Plastic strain in metals. Journal of the Institute of Metals 62, 307-324.
30. Taylor, G. I. (1933b) Analysis of plastic strain in a cubic crystal. Stephen Timoshenko 60th Anniversary Volume. MacMillan Co., New York, pp. 218-224.
31. Tome, C. N., Lebensohn, R. A. and Kocks, U. F. (1991) A model for texture development dominated by deformation twinning : application to zirconium alloys. Acta Metallurgica et Materialia 39, 2667-2680.
32. Van Houtte, P. (1978) Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning. Acta Metallurgica 26, 591-604.
33. Venables, J. A. (1964) The nucleation and propagation of deformation twins. Journal of the Physics and Chemistry of Solids 25, 693-700.
34. Wasserman, G. (1963) Der einflub mechanischer zwillingsbildung auf die entstehung der walz-texturen kubisch flächenzentrierter metalle. Zeitschrift für Metallkunde 54, 61-65.