Deducing the stress–strain response of anisotropic Zr–2.5%Nb pressure tubing by spherical indentation testing

Oviasuyi, Richard O.; Klassen, Robert D.

doi:10.1016/j.jnucmat.2012.07.037

Cited by 9 publications

(3 citation statements)

References 35 publications

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“…The first, commonly termed the "Instrumented Indentation Technique" (IIT), involves converting load-displacement data directly to stress-strain curves, using analytical relationships. This approach has been very popular, [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and is attractive in terms of quickly and easily obtaining the final outcome, but it involves gross simplifications concerning the actual stress and strain fields under an indenter. A slight variant of the concept involves the use of neural network procedures [15][16][17] to relate loaddisplacement data to corresponding stress-strain curves-i.e., to "train" the analytical relationship, although in practice this is subject to similar limitations.…”

Section: Doi: 101002/adem202100437mentioning

confidence: 99%

Profilometry‐Based Inverse Finite Element Method Indentation Plastometry

Clyne

Campbell²,

Burley³

et al. 2021

Adv Eng Mater

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This is a review of the current state‐of‐the‐art regarding a particular approach to extraction of the (quasistatic) stress–strain relationship of a metallic sample from an indentation experiment. It is based on the application of a relatively high load (kN range) to the sample via a large spherical indenter (≈1 mm radius), followed by measurement of the indent profile. This profile is then used as the target outcome for inverse finite element method (FEM) modeling of the test, aimed at converging on the best fit set of parameter values in a constitutive plasticity law (true stress–true strain relationship). This can then be used to simulate any specified loading configuration, including a conventional tensile test. Commercial products are now available in which the indentation, profilometry, and convergence operations are all automated and completed within a few minutes. The review covers the various conceptual and practical issues involved in implementation and optimization of these procedures, including both those related to the measurement system (experimental and FEM simulation) and those associated with the sample (such as anisotropy, inhomogeneities, and residual stresses). An attempt is made to convey an impression of the expected levels of reliability and also the scope for obtaining insights that are not readily obtainable using other types of test.

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Section: Doi: 101002/adem202100437mentioning

confidence: 99%

Profilometry‐Based Inverse Finite Element Method Indentation Plastometry

Clyne

Campbell²,

Burley³

et al. 2021

Adv Eng Mater

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“…Even if attention is limited to spherical indenters, the number of articles of this type is large. [14][15][16][17][18][19][20][21][22][23][24][25][26][27] The procedure may or may not involve representing the complete (plastic) stress-strain curve with an analytical expression. It may also be noted that methodologies have been suggested [28][29][30][31] that are based on the use of neural network techniques (essentially curve-fitting operations) to correlate load-displacement characteristics with corresponding stress-strain curves.…”

Section: Iit Proceduresmentioning

confidence: 99%

A Critical Appraisal of the Instrumented Indentation Technique and Profilometry‐Based Inverse Finite Element Method Indentation Plastometry for Obtaining Stress–Strain Curves

Campbell¹,

Zhang

Burley³

et al. 2021

Adv Eng Mater

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A comparison is presented between conventional tensile stress‐strain curves and those obtained via two methodologies based on (spherical) indentation. The first, termed Instrumented Indentation Technique (IIT), involves conversion of load‐displacement data to stress‐strain curves via analytical expressions. This has been done using loads below 1 N (“nano”) and in the kN range (“macro”). The other procedure, termed profilometry‐based indentation plastometry (PIP), is based on repeated finite element method (FEM) simulation, using the residual indent profile as the target outcome and obtaining the best fit set of parameter values in a constitutive stress‐strain law. This has been done on a macro scale only. The data from nano‐IIT tend to be very noisy and variable, whereas those from macro‐IIT are more reproducible and less noisy. With one of the two empirical formulations employed, the agreement of the macro‐IIT with experiment is close to being acceptable for the work hardening characteristics, although inferred values of the yield stress are in poor agreement with those from tensile testing. In contrast to this, the PIP procedure provides outcomes that are in close agreement with those from tensile testing, concerning both yield stress and work hardening. The causes of this are explored and discussed.

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“…In addition, the use of the whole residual imprint can effectively circumvent the need for accurately measuring the pile-up value. The whole indentation imprint has been used in determining the residual stresses of materials [ 24 , 25 ], strain hardening properties of metals [ 6 , 21 , 22 ], and anisotropic properties of material [ 26 , 27 ]. In particular, the whole indentation imprint was regarded as the “fingerprint,” to reveal the orientation-dependent deformation mechanisms of single crystals [ 28 , 29 , 30 ].…”

Section: Introductionmentioning

confidence: 99%

An Inverse Method for Measuring Elastoplastic Properties of Metallic Materials Using Bayesian Model and Residual Imprint from Spherical Indentation

Wang

2021

Materials

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In this paper, an inverse method is proposed for measuring the elastoplastic properties of metallic materials using a spherical indentation experiment. In the new method, the elastoplastic parameters are correlated with sub-space coordinates of indentation imprints using proper orthogonal decomposition (POD), and inverse identification of material properties is solved using a statistical Bayesian framework. The advantage of the method is that model parameters in the numerical optimization process are treated as the stochastic variables, and potential uncertainties can be considered. The posterior results obtained from the measuring method can provide valuable probabilistic information of the estimated elastoplastic properties. The proposed method is verified by the application on 2099-T83 Al-Li alloys. Results indicate that posterior distribution of material parameters exhibits more than one peak region when indentation load is not large enough. In addition, using the weighting imprints under different loads can facilitate the uniqueness in identification of elastoplastic parameters. The influence of the weighting coefficient on posterior identification results is analyzed. The elastoplastic properties identified by indentation and tensile experiment show good agreement. Results indicate that the established measuring method is effective and reliable.

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Deducing the stress–strain response of anisotropic Zr–2.5%Nb pressure tubing by spherical indentation testing

Cited by 9 publications

References 35 publications

Profilometry‐Based Inverse Finite Element Method Indentation Plastometry

Profilometry‐Based Inverse Finite Element Method Indentation Plastometry

A Critical Appraisal of the Instrumented Indentation Technique and Profilometry‐Based Inverse Finite Element Method Indentation Plastometry for Obtaining Stress–Strain Curves

An Inverse Method for Measuring Elastoplastic Properties of Metallic Materials Using Bayesian Model and Residual Imprint from Spherical Indentation

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