A machine learning perspective on the inverse indentation problem: uniqueness, surrogate modeling, and learning elasto-plastic properties from pile-up

Jiao, Quan; Chen, Yongchao; Kim, Jong-hyoung; Han, Chang-Fu; Chang, Chia-Hua; Vlassak, Joost J.

doi:10.1016/j.jmps.2024.105557

Title: A machine learning perspective on the inverse indentation problem: uniqueness, surrogate modeling, and learning elasto-plastic properties from pile-up

Journal Article · 31 March 2024 · Journal of the Mechanics and Physics of Solids

DOI: https://doi.org/10.1016/j.jmps.2024.105557 · OSTI ID:2283996

Jiao, Quan; Chen, Yongchao; Kim, Jong-hyoung; Han, Chang-Fu; Chang, Chia-Hua; Vlassak, Joost J.

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Sponsoring Organization:: USDOE

OSTI ID:: 2283996

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 185; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (67)

Training with Noise is Equivalent to Tikhonov Regularization Bishop, Chris M. Neural Computation, Vol. 7, Issue 1 https://doi.org/10.1162/neco.1995.7.1.108	journal	January 1995
The effect of work-hardening and pile-up on nanoindentation measurements Gale, J. D.; Achuthan, A. Journal of Materials Science, Vol. 49, Issue 14 https://doi.org/10.1007/s10853-014-8213-4	journal	April 2014
A systematic study of the validation of Oliver and Pharr’s method Shu, Siqi; Lu, Jian; Li, Dongfeng Journal of Materials Research, Vol. 22, Issue 12 https://doi.org/10.1557/JMR.2007.0428	journal	December 2007
On the uniqueness and sensitivity of indentation testing of isotropic materials Phadikar, J. K.; Bogetti, T. A.; Karlsson, A. M. International Journal of Solids and Structures, Vol. 50, Issue 20-21 https://doi.org/10.1016/j.ijsolstr.2013.05.028	journal	October 2013
Determination of indenter tip geometry and indentation contact area for depth-sensing indentation experiments McElhaney, K. W.; Vlassak, J. J.; Nix, W. D. Journal of Materials Research, Vol. 13, Issue 5 https://doi.org/10.1557/JMR.1998.0185	journal	May 1998
A new approach to measure the elastic–plastic properties of bulk materials using spherical indentation Zhao, M.; Ogasawara, N.; Chiba, N. Acta Materialia, Vol. 54, Issue 1 https://doi.org/10.1016/j.actamat.2005.08.020	journal	January 2006
Determination of elastoplastic properties by instrumented sharp indentation Giannakopoulos, A. E.; Suresh, S. Scripta Materialia, Vol. 40, Issue 10 https://doi.org/10.1016/S1359-6462(99)00011-1	journal	April 1999
A method for interpreting the data from depth-sensing indentation instruments Doerner, M. F.; Nix, W. D. Journal of Materials Research, Vol. 1, Issue 4 https://doi.org/10.1557/JMR.1986.0601	journal	August 1986
A method for measuring the contact area in instrumented indentation testing by tip scanning probe microscopy imaging Charleux, L.; Keryvin, V.; Nivard, M. Acta Materialia, Vol. 70 https://doi.org/10.1016/j.actamat.2014.02.036	journal	May 2014
Extraction of mechanical properties of materials through deep learning from instrumented indentation Lu, Lu; Dao, Ming; Kumar, Punit Proceedings of the National Academy of Sciences, Vol. 117, Issue 13 https://doi.org/10.1073/pnas.1922210117	journal	March 2020
Perspective: Machine learning in experimental solid mechanics Brodnik, N. R.; Muir, C.; Tulshibagwale, N. Journal of the Mechanics and Physics of Solids, Vol. 173 https://doi.org/10.1016/j.jmps.2023.105231	journal	April 2023
Identification of elastic-plastic material parameters from pyramidal indentation of thin films Huber, N.; Nix, W. D.; Gao, H. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 458, Issue 2023 https://doi.org/10.1098/rspa.2001.0927	journal	July 2002
Computational modeling of the forward and reverse problems in instrumented sharp indentation Dao, M.; Chollacoop, N.; Van Vliet, K. J. Acta Materialia, Vol. 49, Issue 19 https://doi.org/10.1016/S1359-6454(01)00295-6	journal	November 2001
Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 19, Issue 1 https://doi.org/10.1557/jmr.2004.19.1.3	journal	January 2004
Determination of constitutive properties fromspherical indentation data using neural networks. Part i:the case of pure kinematic hardening in plasticity laws Huber, N.; Tsakmakis, Ch. Journal of the Mechanics and Physics of Solids, Vol. 47, Issue 7 https://doi.org/10.1016/S0022-5096(98)00109-4	journal	June 1999
Determining constitutive models from conical indentation: Sensitivity analysis Capehart, T. W.; Cheng, Y-T. Journal of Materials Research, Vol. 18, Issue 4 https://doi.org/10.1557/JMR.2003.0113	journal	April 2003
Identification of material properties using indentation test and shape manifold learning approach Meng, L.; Breitkopf, P.; Raghavan, B. Computer Methods in Applied Mechanics and Engineering, Vol. 297 https://doi.org/10.1016/j.cma.2015.09.004	journal	December 2015
Indentation hardness and hot pressing Matthews, J. R. Acta Metallurgica, Vol. 28, Issue 3 https://doi.org/10.1016/0001-6160(80)90166-2	journal	March 1980
Characterization of plastically compressible solids via spherical indentation Zhang, Yupeng; Needleman, Alan Journal of the Mechanics and Physics of Solids, Vol. 148 https://doi.org/10.1016/j.jmps.2020.104283	journal	March 2021
The hardness of solids Tabor, D. Reviews of Physics in Technology, Vol. 1, Issue 3 https://doi.org/10.1088/0034-6683/1/3/I01	journal	January 1970
Material characterization based on dual indenters Swaddiwudhipong, S.; Tho, K. K.; Liu, Z. S. International Journal of Solids and Structures, Vol. 42, Issue 1 https://doi.org/10.1016/j.ijsolstr.2004.07.027	journal	January 2005
Comparison between stress-strain plots obtained from indentation plastometry, based on residual indent profiles, and from uniaxial testing Campbell, J. E.; Thompson, R. P.; Dean, J. Acta Materialia, Vol. 168 https://doi.org/10.1016/j.actamat.2019.02.006	journal	April 2019
Approximation capabilities of multilayer feedforward networks Hornik, Kurt Neural Networks, Vol. 4, Issue 2 https://doi.org/10.1016/0893-6080(91)90009-T	journal	January 1991
Depth-sensing instrumented indentation with dual sharp indenters: stability analysis and corresponding regularization schemes Cao, Y. Acta Materialia, Vol. 52, Issue 5 https://doi.org/10.1016/j.actamat.2003.11.001	journal	March 2004
Determination of plastic properties of metals by instrumented indentation using different sharp indenters Bucaille, J. L.; Stauss, S.; Felder, E. Acta Materialia, Vol. 51, Issue 6 https://doi.org/10.1016/S1359-6454(02)00568-2	journal	April 2003
Material model calibration by indentation, imprint mapping and inverse analysis Bolzon, Gabriella; Maier, Giulio; Panico, Michele International Journal of Solids and Structures, Vol. 41, Issue 11-12 https://doi.org/10.1016/j.ijsolstr.2004.01.025	journal	June 2004
A study on the determination of plastic properties of metals by instrumented indentation using two sharp indenters Luo, J.; Lin, J. International Journal of Solids and Structures, Vol. 44, Issue 18-19 https://doi.org/10.1016/j.ijsolstr.2007.01.029	journal	September 2007
Plastic indentation in metals with cones Atkins, A. G.; Tabor, D. Journal of the Mechanics and Physics of Solids, Vol. 13, Issue 3 https://doi.org/10.1016/0022-5096(65)90018-9	journal	June 1965
Depth-sensing instrumented indentation with dual sharp indenters Chollacoop, N.; Dao, M.; Suresh, S. Acta Materialia, Vol. 51, Issue 13 https://doi.org/10.1016/S1359-6454(03)00186-1	journal	August 2003
Scaling approach to conical indentation in elastic-plastic solids with work hardening Cheng, Yang-Tse; Cheng, Che-Min Journal of Applied Physics, Vol. 84, Issue 3 https://doi.org/10.1063/1.368196	journal	August 1998
A critical investigation of the unloading behavior of sharp indentation Marx, V.; Balke, H. Acta Materialia, Vol. 45, Issue 9 https://doi.org/10.1016/S1359-6454(97)00031-1	journal	September 1997
An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 7, Issue 06, p. 1564-1583 https://doi.org/10.1557/JMR.1992.1564	journal	June 1992
Performance and analysis of recording microhardness tests Fröhlich, F.; Grau, P.; Grellmann, W. Physica Status Solidi (a), Vol. 42, Issue 1 https://doi.org/10.1002/pssa.2210420106	journal	July 1977
Approach to determine stress strain curves by FEM supported nanoindentation Bobzin, K.; Bagcivan, N.; Theiß, S. Materialwissenschaft und Werkstofftechnik, Vol. 44, Issue 6 https://doi.org/10.1002/mawe.201300099	journal	June 2013
Determining the elastic modulus and hardness of an ultra-thin film on a substrate using nanoindentation Li, Han; Vlassak, Joost J. Journal of Materials Research, Vol. 24, Issue 3 https://doi.org/10.1557/jmr.2009.0144	journal	March 2009
Integrated simulation, machine learning, and experimental approach to characterizing fracture instability in indentation pillar-splitting of materials Athanasiou, Christos E.; Liu, Xing; Zhang, Boyu Journal of the Mechanics and Physics of Solids, Vol. 170 https://doi.org/10.1016/j.jmps.2022.105092	journal	January 2023
Can stress–strain relationships be obtained from indentation curves using conical and pyramidal indenters? Cheng, Yang-Tse; Cheng, Che-Min Journal of Materials Research, Vol. 14, Issue 9 https://doi.org/10.1557/JMR.1999.0472	journal	September 1999
Effect and measurement of the machine compliance in the macro range of instrumented indentation test Ullner, Christian; Reimann, Erhard; Kohlhoff, Harald Measurement, Vol. 43, Issue 2 https://doi.org/10.1016/j.measurement.2009.09.009	journal	February 2010
The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile Sneddon, Ian N. International Journal of Engineering Science, Vol. 3, Issue 1 https://doi.org/10.1016/0020-7225(65)90019-4	journal	May 1965
A survey on Image Data Augmentation for Deep Learning Shorten, Connor; Khoshgoftaar, Taghi M. Journal of Big Data, Vol. 6, Issue 1 https://doi.org/10.1186/s40537-019-0197-0	journal	July 2019
On the uniqueness of measuring elastoplastic properties from indentation: The indistinguishable mystical materials Chen, Xi; Ogasawara, Nagahisa; Zhao, Manhong Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 8 https://doi.org/10.1016/j.jmps.2007.01.010	journal	August 2007
Scaling, dimensional analysis, and indentation measurements Cheng, Yang-Tse; Cheng, Che-Min Materials Science and Engineering: R: Reports, Vol. 44, Issue 4-5 https://doi.org/10.1016/j.mser.2004.05.001	journal	August 2004
Artificial neural network and finite element modeling of nanoindentation tests Muliana, Anastasia; Haj-Ali, Rami M.; Steward, Rejanah Metallurgical and Materials Transactions A, Vol. 33, Issue 7 https://doi.org/10.1007/s11661-002-0027-3	journal	July 2002
A review of nanoindentation continuous stiffness measurement technique and its applications Li, Xiaodong; Bhushan, Bharat Materials Characterization, Vol. 48, Issue 1 https://doi.org/10.1016/S1044-5803(02)00192-4	journal	February 2002
Extraction of plasticity parameters from a single test using a spherical indenter and FEM modelling Dean, J.; Clyne, T. W. Mechanics of Materials, Vol. 105 https://doi.org/10.1016/j.mechmat.2016.11.014	journal	February 2017
Nanoindentation of biological materials Ebenstein, Donna M.; Pruitt, Lisa A. Nano Today, Vol. 1, Issue 3 https://doi.org/10.1016/S1748-0132(06)70077-9	journal	August 2006
Representative Strain of Indentation Analysis Ogasawara, Nagahisa; Chiba, Norimasa; Chen, Xi Journal of Materials Research, Vol. 20, Issue 8 https://doi.org/10.1557/JMR.2005.0280	journal	August 2005
Perspective: Materials informatics and big data: Realization of the “fourth paradigm” of science in materials science Agrawal, Ankit; Choudhary, Alok APL Materials, Vol. 4, Issue 5 https://doi.org/10.1063/1.4946894	journal	April 2016
A direct comparison of high temperature nanoindentation creep and uniaxial creep measurements for commercial purity aluminum Phani, P. Sudharshan; Oliver, W. C. Acta Materialia, Vol. 111 https://doi.org/10.1016/j.actamat.2016.03.032	journal	June 2016
Advanced Nanoindentation Testing for Studying Strain-Rate Sensitivity and Activation Volume Maier-Kiener, Verena; Durst, Karsten JOM, Vol. 69, Issue 11 https://doi.org/10.1007/s11837-017-2536-y	journal	August 2017
Conventional Vickers and true instrumented indentation hardness determined by instrumented indentation tests Kang, Seung-Kyun; Kim, Ju-Young; Park, Chan-Pyoung Journal of Materials Research, Vol. 25, Issue 2 https://doi.org/10.1557/JMR.2010.0045	journal	February 2010
Vickers Indentation Curves of Magnesium Oxide (MgO) Loubet, J. L.; Georges, J. M.; Marchesini, O. Journal of Tribology, Vol. 106, Issue 1 https://doi.org/10.1115/1.3260865	journal	January 1984
Determination of constitutive properties fromspherical indentation data using neural networks. Part ii:plasticity with nonlinear isotropic and kinematichardening Huber, N.; Tsakmakis, Ch. Journal of the Mechanics and Physics of Solids, Vol. 47, Issue 7 https://doi.org/10.1016/S0022-5096(98)00110-0	journal	June 1999
Identification of material properties using nanoindentation and surrogate modeling Li, Han; Gutierrez, Leonardo; Toda, Hiroyuki International Journal of Solids and Structures, Vol. 81 https://doi.org/10.1016/j.ijsolstr.2015.11.022	journal	March 2016
A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems Meng, Xuhui; Karniadakis, George Em Journal of Computational Physics, Vol. 401 https://doi.org/10.1016/j.jcp.2019.109020	journal	January 2020
Twinning pathways enabled by precipitates in AZ91 Leu, Brandon; Kumar, M. Arul; Xie, Kelvin Y. Materialia, Vol. 21 https://doi.org/10.1016/j.mtla.2021.101292	journal	March 2022
General relationship between strength and hardness Zhang, P.; Li, S. X.; Zhang, Z. F. Materials Science and Engineering: A, Vol. 529 https://doi.org/10.1016/j.msea.2011.08.061	journal	November 2011
Nanoindentation studies of materials Schuh, Christopher A. Materials Today, Vol. 9, Issue 5 https://doi.org/10.1016/S1369-7021(06)71495-X	journal	May 2006
Identification of Plastic Properties From Conical Indentation Using a Bayesian-Type Statistical Approach Zhang, Yupeng; Hart, Jeffrey D.; Needleman, Alan Journal of Applied Mechanics, Vol. 86, Issue 1 https://doi.org/10.1115/1.4041352	journal	October 2018
Nonlinear constitutive models from nanoindentation tests using artificial neural networks Hajali, R.; Kim, H.; Koh, S. International Journal of Plasticity, Vol. 24, Issue 3 https://doi.org/10.1016/j.ijplas.2007.02.001	journal	March 2008
A machine learning approach to fracture mechanics problems Liu, Xing; Athanasiou, Christos E.; Padture, Nitin P. Acta Materialia, Vol. 190 https://doi.org/10.1016/j.actamat.2020.03.016	journal	May 2020
Influences of pileup on the measurement of mechanical properties by load and depth sensing indentation techniques Bolshakov, A.; Pharr, G. M. Journal of Materials Research, Vol. 13, Issue 4 https://doi.org/10.1557/JMR.1998.0146	journal	April 1998
A Review of the Application of Machine Learning and Data Mining Approaches in Continuum Materials Mechanics Bock, Frederic E.; Aydin, Roland C.; Cyron, Christian J. Frontiers in Materials, Vol. 6 https://doi.org/10.3389/fmats.2019.00110	journal	May 2019
Can indentation technique measure unique elastoplastic properties? Liu, Ling; Ogasawara, Nagahisa; Chiba, Norimasa Journal of Materials Research, Vol. 24, Issue 3 https://doi.org/10.1557/jmr.2009.0100	journal	March 2009
Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load–penetration data Alkorta, J.; Martínez-Esnaola, J. M.; Sevillano, J. Gil Journal of Materials Research, Vol. 20, Issue 2 https://doi.org/10.1557/JMR.2005.0053	journal	February 2005
Determination of material properties using nanoindentation and multiple indenter tips Heinrich, C.; Waas, A. M.; Wineman, A. S. International Journal of Solids and Structures, Vol. 46, Issue 2 https://doi.org/10.1016/j.ijsolstr.2008.08.042	journal	January 2009
The influence of plastic hardening on surface deformation modes around Vickers and spherical indents Alcalá, J.; Barone, A. C.; Anglada, M. Acta Materialia, Vol. 48, Issue 13 https://doi.org/10.1016/S1359-6454(00)00140-3	journal	August 2000

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