| REVIEW PAPER |
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| A Review of Reverse Analysis for Material Constitutive Relation Based on Nanoindentation Technique |
| WANG Yuemin1, YAN Xiangqiao1, LI Yao1, WANG Binsheng2
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1 Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080;
2 The Academy of Quality Supervision and Inspection in Heilongjiang Province, Harbin 150001 |
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Abstract Several stress-strain reverse analysis methods are outlined in this article, including Dao-Suresh method, limit analysis-based approach and Zhao-Chen method, with emphases on their mechanical theories. At the same time, the advantages and disadvantages of the methods and the applying scopes are described. Uniqueness for reverse analysis is introduced, especially focusing on the works of Liu and Chen. Moreover, the possible research prospects are overviewed.
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Published: 10 September 2017
Online: 2018-05-07
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1 Oliver W C, Pharr G M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments [J]. J Mater Res,1992,7(6):1564.
2 Oliver W C, Pharr G M. Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology [J]. J Mater Res,2004,19(1):3.
3 Schuh C A. Nanoindentation studies of materials [J]. Mater Today,2006,9(5):32.
4 Dong M L, Jin G, Wang H D, et al. The research status of nanoindentaion methods for measuring residual stresses [J]. Mater Rev:Rev,2014,28(3):107(in Chinese).
董美伶, 金国, 王海斗, 等. 纳米压痕法测量残余应力的研究现状[J]. 材料导报:综述篇,2014,28(3):107.
5 Yu C, Yang R, Feng Y, et al. Relationships between the work recovery ratio of indentation and plastic parameters for instrumented spherical indentation [J]. MRS Commun,2015,5(1):89.
6 Kim M, Marimuthu K P, Lee J H, et al. Spherical indentation method to evaluate material properties of high-strength materials[J]. Int J Mech Sci,2016,106: 117.
7 Ma Z S, Zhou Y C, Long S G, et al. On the intrinsic hardness of a metallic film/substrate system: Indentation size and substrate effects [J]. Int J Plast, 2012,34:1.
8 张泰华. 微/纳米力学测试技术及其应用[M]. 北京:机械工业出版社, 2005.
9 Pöhl F, Huth S, Theisen W. Detection of the indentation-size-effect (ISE) and surface hardening by analysis of the loading curvature C[J]. Int J Solids Struct,2016,84:160.
10 Gao X, Ma Z, Jiang W, et al. Stress-strain relationships of LixSn alloys for lithium ion batteries [J]. J Power Sources,2016,311:21.
11 Chung P C, Glynos E, Green P F. The elastic mechanical response of supported thin polymer films[J]. Langmuir,2014,30(50):15200.
12 Fischer-Cripps A C. Critical review of analysis and interpretation of nanoindentation test data [J]. Surf Coat Technol,2006,200(14):4153.
13 Le M Q. Material characterization by instrumented spherical indentation [J]. Mech Mater,2012,46:42.
14 Tabor D. Indentation hardness: Fifty years on a personal view [J]. Phil Mag A,1996,74(5):1207.
15 Robach J S, Kramer D E, Gerberich W W. Determining yield stress via measurement of nanoindentation plastic zone radii[C]//MRS Online Proceeding Library Archive. Cambridge: Cambridge University Press,1998:133.
16 Bell T J, Field J S, Swain M V. Elastic-plastic characterization of thin films with spherical indentation [J]. Thin Solid Films,1992,220(1-2):289.
17 Chaudhri M M. Subsurface plastic strain distribution around spherical indentations in metals [J]. Phil Mag A, 1996,74(5):1213.
18 Dao M, Chollacoop N, Van Vliet K J, et al. Computational mode-ling of the forward and reverse problems in instrumented sharp indentation [J]. Acta Mater,2001,49(19):3899.
19 Cheng Y T, Cheng C M. Scaling approach to conical indentation in elastic-plastic solids with work hardening [J]. J Appl Phys,1998,84(3):1284.
20 Wang L, Rokhlin S I. Universal scaling functions for continuous stiffness nanoindentation with sharp indenters [J]. Int J Solids Struct,2005,42(13):3807.
21 Chollacoop N, Dao M, Suresh S. Depth-sensing instrumented indentation with dual sharp indenters [J]. Acta Mater,2003,51(13):3713.
22 Bucaille J L, Stauss S, Felder E, et al. Determination of plastic properties of metals by instrumented indentation using different sharp indenters[J]. Acta Mater,2003, 51(6):1663.
23 Antunes J M, Fernandes J V, Menezes L F, et al. A new approach for reverse analyses in depth-sensing indentation using numerical simulation [J]. Acta Mater, 2007,55(1):69.
24 Pham T H, Kim J J, Kim S E. Estimating constitutive equation of structural steel using indentation[J]. Int J Mech Sci,2015,90:151.
25 Kang S K, Kim Y C, Kim K H, et al. Constitutive equations optimized for determining strengths of metallic alloys [J]. Mech Mater,2014,73:51.
26 Pöhl F, Huth S, Theisen W. Indentation of self-similar indenters: An FEM-assisted energy-based analysis [J]. J Mech Phys Solids,2014, 66:32.
27 Hyun H C, Kim M, Lee J H, et al. A dual conical indentation technique based on FEA solutions for property evaluation [J]. Mech Mater,2011,43(6):313.
28 Lee J H, Kim T, Lee H. A study on robust indentation techniques to evaluate elastic-plastic properties of metals [J]. Int J Solids Struct,2010,47(5):647.
29 Le M Q. Material characterization by dual sharp indenters [J]. Int J Solids Struct,2009,46(16):2988.
30 Le M Q. Improved reverse analysis for material characterization with dual sharp indenters [J]. Int J Solids Struct,2011,48(10):1600.
31 Yu C, Feng Y, Yang R, et al. An integrated method to determine elastic-plastic parameters by instrumented spherical indentation [J]. J Mater Res,2014,29(9): 1095.
32 Ogasawara N, Chiba N, Chen X. Representative strain of indentation analysis [J]. J Mater Res,2005,20(8): 2225.
33 Ogasawara N, Chiba N, Chen X. Limit analysis-based approach to determine the material plastic properties with conical indentation [J]. J Mater Res,2006,21(4): 947.
34 Ogasawara N, Chiba N, Chen X. A simple framework of spherical indentation for measuring elastoplastic properties [J]. Mech Mater,2009,41(9):1025.
35 Sneddon I N. The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile [J]. Int J Eng Sci,1965,3(1):47.
36 Hay J C, Bolshakov A, Pharr G M. A critical examination of the fundamental relations used in the analysis of nanoindentation data [J]. J Mater Res,1999, 14(6):2296.
37 Qu S, Huang Y, Nix W D, et al. Indenter tip radius effect on the Nix-Gao relation in micro-and nanoindentation hardness experiments [J]. J Mater Res,2004,19(11):3423.
38 Zhao M, Chen X, Xiang Y, et al. Measuring elastoplastic properties of thin films on an elastic substrate using sharp indentation [J]. Acta Mater, 2007,55(18):6260.
39 Zhao M, Xiang Y, Xu J, et al. Determining mechanical properties of thin films from the loading curve of nanoindentation testing [J]. Thin Solid Films,2008, 516(21):7571.
40 Cheng Y T, Cheng C M. Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters? [J]. J Mater Res, 1999,14(9):3493.
41 Liu L, Ogasawara N, Chiba N, et al. Can indentation technique measure unique elastoplastic properties? [J]. J Mater Res, 2009,24(3):784. |
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2017, Vol. 31 
