A critical assessment of theories of strain gradient plasticity

Acta Materialia

Volumn 57, Issue 5, 2009, Pages 1675-1688

  Evans, A G ^a   Hutchinson, J W ^b  

^a University of California   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Bending; Geometrically necessary dislocations; Plasticity; Size effects

Indexed keywords

MECHANICS; PROGRAMMING THEORY;

BENDING; CRITICAL ASSESSMENTS; EXPERIMENTAL DATUM; GEOMETRICALLY NECESSARY DISLOCATIONS; HIGHER-ORDER THEORIES; INITIAL YIELDING; MICRON-SCALE; ORDER THEORIES; PILE-UP; PLASTIC STRAINS; SIZE DEPENDENCES; SIZE EFFECTS; STRAIN GRADIENT THEORIES; STRAIN-GRADIENT PLASTICITIES;

PLASTICITY;

EID: 60249086139     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2008.12.012     Document Type: Article

References (33)

1. Stelmashenko N.A., Walls M.G., Brown L.M., and Minman Y.V. Acta Met Mater 41 (1993) 2855
2. Ma Q., and Clarke D.R. J Mater Res 10 (1995) 853
3. Swadener J.G., George E.P., and Pharr G.M. J Mech Phys Solids 50 (2002) 681
4. Nix W.D., and Gao H. J Mech Phys Solids 46 (1998) 411
5. Begley M.R., and Hutchinson J.W. J Mech Phys Solids 46 (1998) 2049
6. Huang Y., Xue Z., Gao H., Nix W.D., and Xia Z.C. J Mater Res 15 (2000) 1786
7. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Acta Met Mater 42 (1994) 475
8. Stolken J.S., and Evans A.G. Acta Mater 46 (1998) 5109
9. Xiang Y., and Vlassak J.J. Acta Mater 54 (2006) 5449
10. Petch N.J.J. Iron Steel Inst 174 (1953) 25
11. Lloyd D. J Int Mater Rev 39 (1994) 1
12. Ashby M.F. Phil Mag 21 (1970) 399
13. Aifantis E.C. J Eng Mater Tech 106 (1984) 326
14. Fleck N.A., and Hutchinson J.W. Adv Appl Mech 33 (1997) 295
15. Fleck N.A., and Hutchinson J.W. J Mech Phys Solids 49 (2001) 2245
16. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. J Mech Phys Solids 47 (1999) 1239
17. Huang Y., Gao H., Nix W.D., and Hutchinson J.W. J Mech Phys Solids 48 (2000) 99
18. Huang Y., Qu S., Hwang K.C., Li M., and Gao H. Int J Plasticity 20 (2004) 753
19. Ehrler B., Hou X.D., Zhu T.T., P'ng K.M.Y., Walker C.J., Bushby A.J., et al. Phil Mag 88 (2008) 3043
20. Ebrahimi F., Bourne G.R., Kelly M.S., and Mathews T.E. Nanostruct Mater 11 (1999) 343
21. Hansen N. Scripta Mater 51 (2004) 801
22. Gudmundson P. J Mech Phys Solids 52 (2004) 1379
23. Aifantis K., Soer W., De Hosson J., and Willis J R. Acta Mater 54 (2006) 5077
24. Gurtin M.E. Int J Plasticity 19 (2003) 47
25. Gurtin M.E. J Mech Phys Solids 50 (2002) 5
26. Evers L.P., Brekelmans W.A.M., and Geers M.G.D. J Mech Phys Solids 52 (2004) 2379
27. Cleveringa H.H.M., van der Giessen E., and Needleman A. Acta Mater 45 (1997) 3163
28. Mughrabi H. Mat Sci Eng A 387-389 (2004) 209
29. Arsenlis A., and Parks D M. Acta Mater 47 (1999) 1597
30. Hemker K.J., Mendis B.G., and Eberl C. Mater Sci Eng A 483-484 (2008) 727 (Indentation data supplied by private communication)
31. Bassani J.L. J Mech Phys Solids 49 (2001) 1983
32. Voyiadjis G.Z., and Abu Al-Rub R.K. Int J Solids Struct 42 (2005) 3998
33. Hutchinson JW, unpublished work.