Determination of the elastic and plastic properties of materials through instrumented indentation with reduced sensitivity

Lan, Hongzhi; Venkatesh, T. A.

doi:10.1016/j.actamat.2006.11.012

Cited by 48 publications

(35 citation statements)

References 31 publications

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“…From the engineering point of view, such a level of accuracy in the measurement of Young's modulus can meet the requirements of most applications. Further improvement of the accuracy should turn to the use of multiple sharp indentation tests, and the works of Lan and Venkatesh 15 and Liu et al, 16 provided a good guideline on how to extract the elastic and plastic properties of materials with high accuracy and reduced sensitivity.…”

Section: Methods For Determining Young's Modulus Based On Microinmentioning

confidence: 99%

Further analysis of energy-based indentation relationship among Young’s modulus, nominal hardness, and indentation work

Ma¹,

Ong

2010

J. Mater. Res.

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In our previous study, we modeled the indentation performed on an elastic-plastic solid with a rigid conical indenter by using finite element analysis, and established a relationship between a nominal hardness/reduced Young's modulus (H n /E r ) and unloading work/total indentation work (W e /W t ). The elasticity of the indenter was absorbed in, where E i and n i are the Young's modulus and Poisson's ratio of the indenter, and E and n are those of the indented material. However, recalculation by directly introducing the elasticity of the indenter show that the use of E r alone cannot accurately reflect the combined elastic effect of the indenter and indented material, but the ratio2 )] would influence the H n /E r -W e /W t relationship. Thereby, we replaced E r with a combined Young's modulus, and found that the approximate H n /E c -W e /W t relationship is almost independent of selected Z values over 0-0.3834, which can be used to give good estimates of E as verified by experimental results.

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Section: Methods For Determining Young's Modulus Based On Microinmentioning

confidence: 99%

Further analysis of energy-based indentation relationship among Young’s modulus, nominal hardness, and indentation work

Ma¹,

Ong

2010

J. Mater. Res.

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“…The reasons for such significant errors in the yield stress and strain hardening exponent values are linked to the high sensitivity of these parameters to the uncertainties in the indentation response parameters. 23,24 We thus study how the inverse method can improve the identification of these parameters.…”

Section: B Estimation Of the Starting Parametersmentioning

confidence: 99%

“…[15][16][17][18][19][20] Reviews of the existing models have been published by Capehart and Cheng 21 and by Gouldstone et al 22 To increase the robustness of the semi-analytical approach presented here, multiple input data sets have been coupled, 10,11 and recently in-depth sensitivity analysis has been performed to determine the sensitivity and robustness of the results. [23][24] The inverse method developed consists of fitting a constitutive law to a set of input data (see Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

Determination of plastic properties of metals by instrumented indentation using a stochastic optimization algorithm

et al. 2009

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A novel optimization approach, capable of extracting the mechanical properties of an elasto-plastic material from indentation data, is proposed. Theoretical verification is performed on two simulated configurations. The first is based on the analysis of the load-displacement data and the topography of the residual imprint of a single conical indenter. The second is based on the load-displacement data obtained from two conical indenters with different semi-angles. In both cases, a semi-analytical approach [e.g., Dao et al., Acta Mater. 49, 3899 (2001) and Bucaille et al., Acta Mater. 51, 1663] is used to estimate Young's modulus, yield stress, and strain hardening coefficient from the load-displacement data. An inverse finite element model, based on a commercial solver and a newly developed optimization algorithm based on a robust stochastic methodology, uses these approximate values as starting values to identify parameters with high accuracy. Both configurations use multiple data sets to extract the elastic-plastic material properties; this allows the mechanical properties of materials to be determined in a robust way.

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“…The papers devoted to inverse and sensitivity analyses of depth-sensing indentation experiments have used various approaches, including the conventional deterministic batch approach (Bolzon et al 2004), the training neural networks with results of finite-element simulations of indentation of materials (Huber et al 2002), and other approaches (e.g. Dao et al 2001;Lan & Venkatesh 2007). Although stochastic approaches are preferable (Zabaras & Ganapathysubramanian 2008), inverse techniques applied to approximate deterministic systems are often employed.…”

Section: Introductionmentioning

confidence: 99%

“…The use of dimensionless parameters characterizing indentation of materials with power-law hardening may contribute to solving a long-standing problem of establishing a correlation between the tensile elastic-plastic stress-strain curve and the hardness measurements (e.g. Davidenkov 1943), and allows researchers to find such unknown material parameters as the elastic modulus, the yield strength and the strain-hardening exponent (Dao et al 2001;Lan & Venkatesh 2007).…”

Section: Introductionmentioning

confidence: 99%

Non-direct estimations of adhesive and elastic properties of materials by depth-sensing indentation

Borodich

Galanov

2008

Proc. R. Soc. A.

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Using the connection between depth-sensing indentation by spherical indenters and mechanics of adhesive contact, a new method for non-direct determination of adhesive and elastic properties of contacting materials is proposed. At low loads, the forcedisplacement curves reflect not only elastic properties but also adhesive properties of the contact, and therefore one can try to extract from experiments both the elastic characteristics of contacting materials (such as the reduced elastic modulus) and characteristics of molecular adhesion (such as the work of adhesion and the pull-off force) using a non-direct approach. The direct methods of estimations of the adhesive characteristics of materials currently used in experiments are rather complicated due to the instability of the experimental force-displacement diagrams for ultra-low tensile forces. The proposed method is based on the use of the stable experimental data for the elastic stage of the force-displacement curve and the mechanics of adhesive contact for spherical indenters. Since the experimental data always have some measurement errors, mathematical techniques for solving ill-posed problems are employed.

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Determination of the elastic and plastic properties of materials through instrumented indentation with reduced sensitivity

Cited by 48 publications

References 31 publications

Further analysis of energy-based indentation relationship among Young’s modulus, nominal hardness, and indentation work

Further analysis of energy-based indentation relationship among Young’s modulus, nominal hardness, and indentation work

Determination of plastic properties of metals by instrumented indentation using a stochastic optimization algorithm

Non-direct estimations of adhesive and elastic properties of materials by depth-sensing indentation

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