Browse > Article

Deformation Analysis of Micro-Sized Material Using Strain Gradient Plasticity  

Byon S.M. (Rolling Technology and Process Control Research Group, POSCO Technical Research Laboratories)
Lee Young-Seog (Department of Mechanical Engineering, Chung-Ang University)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.5, 2006 , pp. 621-633 More about this Journal
Abstract
To reflect the size effect of material $(1\sim15{\mu}m)$ during plastic deformation of polycrystalline copper, a constitutive equation which includes the strain gradient plasticity theory and intrinsic material length model is coupled with the finite element analysis and applied to plane strain deformation problem. The method of least square has been used to calculate the strain gradient at each element during deformation and the effect of distributed force on the strain gradient is investigated as well. It shows when material size is less than the intrinsic material length $(1.54{\mu}m)$, its deformation behavior is quite different compared with that computed from the conventional plasticity. The generation of strain gradient is greatly suppressed, but it appears again as the material size increases. Results also reveal that the strain gradient leads to deformation hardening. The distributed force plays a role to amplify the strain gradient distribution.
Keywords
Micro Forming; Intrinsic Material Length; Strain Gradient Plasticity; Constitutive; Equation; Finite Element Analysis;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
연도 인용수 순위
  • Reference
1 Fleck, N. A. Muller, G. M. Ashby, M. F. and Hutchinson, J. W., 1994, 'Strain Gradient Plasticity : Theory and Experiments,' Acta Metallurgica et Materialia, 42, pp. 475-487   DOI   ScienceOn
2 Begley, M. R. and Hutchinson, J. W., 1998, 'The Mechanics of Size-dependent Indentation,' Journal of Mechanics and Physics of Solids, 46, pp. 2049-2068   DOI   ScienceOn
3 Ashby, M. F., 1970, 'The Deformation of Plastically Non-homogeneous Alloys,' Philosl Mag., 21, pp.399-424   DOI   ScienceOn
4 Stelmashenko, N. A., Walls, M. G., Brown, L. M. and Milman, Y. V., 1993, 'Micro indentation on W and Mo Oriented Single Crystals : an STM Study,' Acta Metallurgica et Materialia, 41, pp. 2855-2865   DOI   ScienceOn
5 ？Arsenlis, A. and Park, D. M., 1999, 'Crystallographic Aspects of Geometrically Necessary and Statistically Stored Dislocation Density,' Acta Metallurgica et Materialia, 47, pp.1597-1611   DOI   ScienceOn
6 Nix, W. D. and Gao, H., 1998, 'Indentation Size Effects in Crystalline Materials : A Law for Strain Gradient Plasticity,' Journal of Mechanics and Physics of Solids, 46, pp. 411-425   DOI   ScienceOn
7 McElhaney, K. W., Vlassak, J. J. and Nix, W. D., 1998, 'Determination of Indenter Tip Geometry and Indentation Contact Area for Depthsensing Indentation Experiments,' Journal of Materials Research, 13, pp. 1300-1306   DOI   ScienceOn
8 Ma, Q. and Clarke, D. R., 1995, 'Size Dependent Hardness of Silver Single Crystals,' Journal of Materials Research, 10, pp. 853-863   DOI
9 Shu, J. Y. and Fleck, N. A., 1998, 'The Predic？tion of a Size Effect in Micro-indentation,' International Journal of Solids and Structures, 35, pp.1363-1383   DOI   ScienceOn
10 Nix, W. D., 1989, 'Mechanical Properties of Thin Film,' Metallic Transactions, 20A, pp. 2217-2245   DOI
11 Qiu, X., Huang, Y., Wei, Y., Gao, H. and Hwang, K. C., 2003, 'The Flow Theory of Mechanism-based Strain Gradient Plasticity,' Mechanics of Materials, 35, pp. 245-258   DOI   ScienceOn
12 Huang, Y., Xue, Z., Gao, H., Nix, W. D. and Xia, Z. C., 2000c, 'A Study of Microindentation Hardness Tests by Mechanism-based Strain Gradient Plasticity,' Journal of Material Research, 15, pp.1786-1796   DOI   ScienceOn
13 Kobayashi, S., Oh, S. I. and Altan, T., 1989, Metal Forming and The Finite Element Method, Oxford University Press, New York
14 Huang, Y., Xue, Z., Gao, H., Nix, W. D. and Xia, Z. C., 2000b, 'A Study of Microindentation Hardness Tests by Mechanism-based Strain Gradient Plasticity,' Journal of Materials Research, 15, pp. 1786-1796   DOI   ScienceOn
15 Huang, Y., Qu, S., Hwang, K. C., Li, M. and Gao, H., 2004, 'A Conventional Theory of Mechanism-based Strain Gradient Plasticity,' International Journal of Plasticity, 20, pp. 753-782   DOI   ScienceOn
16 Huang, Y., Gao, H., Nix, W. D. and Hutchinson, J. W. 2000a, 'Mechanism-based Strain Gradient Plasticity-II. Analysis,' Journal of Mechanics and Physics of Solids, 48, pp. 99-128   DOI   ScienceOn
17 Gao, H., Huang, Y., Nix, W. D. and Hutchinson, J. W., 1999, 'Mechanism-based Strain Gradient Plasticity-I. Theory,' Journal of Mechanics and ？Physics of Solids, 47, pp. 1239-1263   DOI   ScienceOn
18 Fleck, N. A. and Hutchinson, J. W., 1993, 'A Phenomenological Theory for Strain Gradient Effects in Plasticity,' Journal of Mechanics and Physics of Solids, 41, pp. 1825-1857   DOI   ScienceOn
19 Xia, Z. C. and Hutchinson, J. W., 1996, 'Crack Tip Fields in Strain Gradient Plasticity,' Journal of Mechanics and Physics of Solids, 44, pp. 1621-1648   DOI   ScienceOn
20 Huang, Y., Chen, J. Y., Guo, T. F., Zhang, L. and Hwang, K. C., 1999, 'Analytic and numerical studies on mode I and mode II fracture in elastic-plastic materials with strain gradient effects,' International Journal of Fracture, 100, pp. 1-27   DOI
21 Fleck, N. A. and Hutchinson, J. W., 1997, 'Strain Gradient Plasticity,' In: J. W. Hutchinson, T. Y. Wu, editors. Advances in applied mechanics. New York : Academic Press., pp. 295-361
22 Taylor, G. I., 1938, 'Plastic Strain in Metals,' Journal of the Institute of Metals, 62, pp. 307-324
23 Wei, Y., Qiu, X. and Hwang, K. C., 2004, 'Steady-state Crack Growth and Fracture Work based on the Theory of Mechanism-based Strain Gradient Plasticity,' Engineering Fracture Mechanics, 71, pp. 107-125   DOI   ScienceOn
24 Stolken, J. S. and Evans, A. G., 1998, 'A Microbend Test Method for Measuring the Plasticity Length Scale,' Acta Metallurgica et Materialia, 46, pp. 5109-5115   DOI   ScienceOn
25 Taylor, G. I., 1934, 'The Mechanism of Plastic Deformation of Crystals. Part I - Theoretical,' ？Proceedings of the Royal Society of London A, 145, pp. 362-387   DOI