Indentation size effects in crystalline materials: A law for strain gradient plasticity

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 3, 1998, Pages 411-425

  Nix, William D ^a   Gao, Huajian ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLINE MATERIALS; ELASTIC MODULI; HARDNESS; PLASTICITY; STRAIN; STRESSES;

INDENTATION SIZE EFFECTS; STRAIN GRADIENT PLASTICITY;

DISLOCATIONS (CRYSTALS);

EID: 0032020971     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00086-0     Document Type: Article

References (20)

1. Ashby, M. F. (1970) The deformation of plastically non-homogeneous alloys. Phil. Mag. 21, 399-424.
2. Begley, M. R. and Hutchinson, J. W. (1997) The mechanics of size-dependent indentation, unpublished manuscript.
3. De Guzman, M. S., Neubauer, G., Flinn, P. and Nix, W. D. (1993) The role of indentation depth on the measured hardness of materials. Materials Research Symposium Proceedings 308, 613-618.
4. Doerner, M. F. and Brennan, S. (1988) Strain distribution in thin aluminum films using X-ray depth profiling. Journal of Applied Physics 63, 126-131.
5. Fleck, N. A. and Hutchinson, J. W. (1993) A phenomenological theory for strain gradient effects in plasticity. Journal of the Mechanics and Physics of Solids 41, 1825-1857.
6. Fleck, N. A. and Hutchinson, J. W. (1997) Strain Gradient Plasticity. Advances in Applied Mechanics, ed. J. W. Hutchinson and T. Y. Wu, 33, 295-361. Academic Press, New York.
7. Fleck, N. A., Muller, G. M., Ashby, M. F. and Hutchinson, J. W. (1994) Strain gradient plasticity: theory and experiment. Acta Metallurgica et Materialia 42, 475-487.
8. Huang, Y., Zhang, L., Guo, T. F. and Hwang, K.-C. (1995) Near-tip fields for cracks in materials with strain-gradient effects. In Proceedings of IUTAM Symposium on Nonlinear Analysis of Fracture, ed. J. R. Willis, 231-242. Kluwer Academic Publishers, Cambridge, U.K.
9. Huang, Y., Zhang, L., Guo, T. F. and Hwang, K.-C. (1997) Mixed mode near-tip fields for cracks in materials with strain-gradient effects. Journal of the Mechanics and Physics of Solids 45, 439-465.
10. Kröner, E. (1963) On the physical reality of torque stress in continuum mechanics. In Journal of International Engineering Science 1, 261-278.
11. Ma, Q. and Clarke, D. R. (1995) Size dependent hardness in silver single crystals. Journal of Materials Research 10, 853-863.
12. McElhaney, K. W., Vlassak, J. J. and Nix, W. D. (1997) Determination of indenter tip geometry and indentation contact area of depth-sensing indentation experiments. Journal of Materials Research (accepted for publication).
13. Nix, W. D. (1997) Elastic and plastic properties of thin films on substrates: nanoindentation techniques. Materials Science and Engr. A, 234-236, 37-44.
14. Stolken, J. S. (1997) Ph.D. dissertation, Materials Department, University of California, Santa Barbara.
15. Stelmashenko, N. A., Walls, M. G., Brown, L. M. and Milman, Y. V. (1993a) STM study of microindentation on ordered metallic single crystals. In Mechanical Properties and Deformation Behavior of Materials Having Ultra-Fine Microstructures, ed. M. Nastasi, D. M. Parkin and H. Gleiter. NATO ASI Series E 233, 605-610.
16. Stelmashenko, N. A., Walls, M. G., Brown, L. M. and Milman, Y. V. (1993b) Microindentation on W and Mo oriented single crystals: an STM study. Acta Metallurgica et Materialia 41, 2855-2865.
17. Was, G. S. and Foecke, T. (1996) Deformation and fracture in microlaminates. Thin Solid Films 286, 1-31.
18. Venkatraman, R. and Bravman, J. C. (1992) Separation of film thickness and grain boundary strengthening effects in Al thin films on Si. Journal of Materials Research 7, 2040-2048.
19. Venkatraman, R., Besser, P. R., Bravman, J. C. and Brennan, S. (1994) Elastic strain gradients and X-ray line broadening effects as a function of temperature in aluminum thin films on silicon. Journal of Materials Research 9, 328-335.
20. Xia, Z. C. and Hutchinson, J. W. (1996) Crack tip fields in strain gradient plasticity. Journal of Mechanics and Physics of Solids 44, 1621-1648.