The mechanics of size-dependent indentation

作者: Matthew R. Begley , John W. Hutchinson

DOI: 10.1016/S0022-5096(98)00018-0

关键词:

摘要: Indentation tests at scales on the order of one micron have shown that measured hardness increases significantly with decreasing indent size, a trend odds size-independence implied by conventional plasticity theory. In this paper, strain gradient theory is used to model materials undergoing small-scale indentations. Finite element implementation as it pertains indentation modeling briefly reviewed. Results are presented for frictionless conical A strong effect including gradients in constitutive description found increasing factor two or more over relevant range behavior. The results investigate role primary length parameters study indicates may be most effective test measuring parameters.

参考文章(28)
N.A. Fleck, J.W. Hutchinson, Strain gradient plasticity Advances in Applied Mechanics. ,vol. 33, pp. 295- 361 ,(1997) , 10.1016/S0065-2156(08)70388-0
A.G. Atkins, D. Tabor, Plastic indentation in metals with cones Journal of the Mechanics and Physics of Solids. ,vol. 13, pp. 149- 164 ,(1965) , 10.1016/0022-5096(65)90018-9
N. Gane, J. M. Cox, The micro-hardness of metals at very low loads Philosophical Magazine. ,vol. 22, pp. 0881- 0891 ,(1970) , 10.1080/14786437008221059
C. Rubenstein, A Critical Appraisal of Static Hardness Measurements Journal of Applied Mechanics. ,vol. 48, pp. 796- 802 ,(1981) , 10.1115/1.3157736
J.Y. Shu, N.A. Fleck, The prediction of a size effect in microindentation International Journal of Solids and Structures. ,vol. 35, pp. 1363- 1383 ,(1998) , 10.1016/S0020-7683(97)00112-1
N.A. Fleck, J.W. Hutchinson, A phenomenological theory for strain gradient effects in plasticity Journal of The Mechanics and Physics of Solids. ,vol. 41, pp. 1825- 1857 ,(1993) , 10.1016/0022-5096(93)90072-N
A.K. Bhattacharya, W.D. Nix, Finite element analysis of cone indentation International Journal of Solids and Structures. ,vol. 27, pp. 1047- 1058 ,(1991) , 10.1016/0020-7683(91)90100-T
William D. Nix, Elastic and plastic properties of thin films on substrates : nanoindentation techniques Materials Science and Engineering A-structural Materials Properties Microstructure and Processing. pp. 37- 44 ,(1997) , 10.1016/S0921-5093(97)00176-7
J. B. Pethicai, R. Hutchings, W. C. Oliver, Hardness measurement at penetration depths as small as 20 nm Philosophical Magazine. ,vol. 48, pp. 593- 606 ,(1983) , 10.1080/01418618308234914