Bibliography
Metallic Materials Properties Development and Standardization (MMPDS) Handbook. 10th edition, April 2015.
Pavel B Bochev, Peter Andrew Bosler, Paul Allen Kuberry, Mauro Perego, Kara J Peterson, and Nathaniel Albert Trask. Compatible particle discretizations. final ldrd report. Technical Report SAND2019-10991, Sandia National Lab.(SNL-NM), Albuquerque, NM (United States), 2019.
E. Corona, M. Spletzer, B.T. Lester, and C.J. Fietek. Validation of material models for puncture of 7075-t651 aluminum plate. International Journal of Solids and Structures, 2022. Special Issue in the honour Dr Stelios Kyriakides. URL: https://www.sciencedirect.com/science/article/pii/S0020768322003572, doi:https://doi.org/10.1016/j.ijsolstr.2022.111893.
Edmundo Corona, Lisa Anne Deibler, Benjamin Reedlunn, Mathew Duffy Ingraham, and Shelley Williams. An experimental study of shear-dominated failure in the 2013 sandia fracture challenge specimen. Technical Report, Sandia National Laboratories, 4 2015. URL: https://www.osti.gov/biblio/1178303, doi:10.2172/1178303.
Keith Dalbey, Michael Eldred, Gianluca Geraci, John Jakeman, Kathryn Maupin, Jason A. Monschke, Daniel Seidl, Anh Tran, Friedrich Menhorn, and Xiaoshu Zeng. Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis: version 6.16 theory manual. Technical Report, Sandia National Laboratories, 5 2022. URL: https://dakota.sandia.gov/, doi:10.2172/1868423.
Jennifer E Fort, Gordon, Natalie, Paul R Miles, and Cory R Medina. MatFit. 2023. URL: http://structmechtools.cee-gitlab.lan/matfit/index.html.
Charles R. Harris, K. Jarrod Millman, Stéfan J. van der Walt, Ralf Gommers, Pauli Virtanen, David Cournapeau, Eric Wieser, Julian Taylor, Sebastian Berg, Nathaniel J. Smith, Robert Kern, Matti Picus, Stephan Hoyer, Marten H. van Kerkwijk, Matthew Brett, Allan Haldane, Jaime Fernández del Río, Mark Wiebe, Pearu Peterson, Pierre Gérard-Marchant, Kevin Sheppard, Tyler Reddy, Warren Weckesser, Hameer Abbasi, Christoph Gohlke, and Travis E. Oliphant. Array programming with NumPy. Nature, 585(7825):357–362, September 2020. URL: https://doi.org/10.1038/s41586-020-2649-2, doi:10.1038/s41586-020-2649-2.
Rodney Hill. A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 193(1033):281–297, 1948.
J. D. Hunter. Matplotlib: a 2d graphics environment. Computing in Science & Engineering, 9(3):90–95, 2007. doi:10.1109/MCSE.2007.55.
Elizabeth M. C. Jones, Jay Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Thomas Seidl, and Daniel Z. Turner. High-throughput material characterization using the virtual fields method. Technical Report SAND2018-10635, Sandia National Laboratories, 9 2018. URL: https://www.osti.gov/biblio/1474817, doi:10.2172/1474817.
Andrew L Kaminsky, Yi Wang, and Kapil Pant. An efficient batch k-fold cross-validation voronoi adaptive sampling technique for global surrogate modeling. Journal of Mechanical Design, 2021.
Kyle N. Karlson, Alyssa J. Skulborstad, Jonathan D. Madison, Andrew T. Polonsky, Helena Jin, Amanda Jones, Brett Sanborn, Sharlotte L.B. Kramer, Bonnie R. Antoun, and Wei-Yang Lu. Toward accurate prediction of partial-penetration laser weld performance informed by three-dimensional characterization – part ii: µct based finite element simulations. Tomography of Materials and Structures, 2:100007, 2023. URL: https://www.sciencedirect.com/science/article/pii/S2949673X23000050, doi:https://doi.org/10.1016/j.tmater.2023.100007.
Sharlotte Kramer, Bonnie Antoun, Wei-Yang Lu, Amanda Jones, Brett Sanborn, Bo Song, Huiqing Jin, and Lisa Deibler. De l2 milestone presentation: ductile failure. SAND2019-10152PE, Sandia National Laboratories, 2019.
Sharlotte Lorraine Bolyard Kramer and William M. Scherzinger. Implementation and evaluation of the virtual fields method: determining constitutive model parameters from full-field deformation data. Technical Report SAND2014-17871, Sandia National Laboratories, 9 2014. URL: https://www.osti.gov/biblio/1158669, doi:10.2172/1158669.
Paul Kuberry, Peter Bosler, and Nathaniel Trask. Compadre toolkit. January 2019. URL: https://github.com/sandialabs/compadre, doi:10.11578/dc.20190411.1.
W-Y. Lu, H. Jin, J. W. Foulk, J. Ostien, S. L. Kramer, and A. Jones. Solid cylinder torsion for large shear deformation and failure of engineering materials. Experimental Mechanics, 61(2):307—320, 2021. URL: https://doi.org/10.1007/s11340-020-00620-6.
David G Luenberger, Yinyu Ye, and others. Linear and nonlinear programming. Volume 2. Springer, 1984.
A. Marek, F. M. Davis, J. -H. Kim, and F. Pierron. Experimental validation of the sensitivity-based virtual fields for identification of anisotropic plasticity models. Experimental Mechanics, 60(5):639–664, 2020. URL: https://doi.org/10.1007/s11340-019-00575-3, doi:10.1007/s11340-019-00575-3.
Aleksander Marek, Frances M. Davis, and Fabrice Pierron. Sensitivity-based virtual fields for the non-linear virtual fields method. Computational Mechanics, 60(3):409–431, 2017. URL: https://doi.org/10.1007/s00466-017-1411-6, doi:10.1007/s00466-017-1411-6.
Aleksander Marek, Frances M. Davis, Marco Rossi, and Fabrice Pierron. Extension of the sensitivity-based virtual fields to large deformation anisotropic plasticity. International Journal of Material Forming, 12(3):457–476, 2019. URL: https://doi.org/10.1007/s12289-018-1428-1, doi:10.1007/s12289-018-1428-1.
F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay. Scikit-learn: machine learning in Python. Journal of Machine Learning Research, 12:2825–2830, 2011.
Fabrice Pierron and Michel Grédiac. The virtual fields method: extracting constitutive mechanical parameters from full-field deformation measurements. Springer Science & Business Media, 2012.
Christian W. J. R., Dean A. D., Dvurecenska K., Middleton C. A., and Patterson E. A. Comparing full-field datafrom structural components with complicated geometries. R. Soc. open sci., 2021. doi:https://doi.org/10.1098/rsos.210916.
Denielle Ricciardi, D. Tom Seidl, Brian Lester, Amanda Jones, and Elizabeth Jones. Advancements in constitutive model calibration: leveraging the power of full-field dic measurements and in-situ load path selection for reliable parameter inference. Strain, 2025. URL: https://onlinelibrary.wiley.com/doi/10.1111/str.70008, doi:https://doi.org/10.1111/str.70008.
Marco Rossi and Fabrice Pierron. Identification of plastic constitutive parameters at large deformations from three dimensional displacement fields. Computational Mechanics, 49(1):53–71, 2012. URL: https://doi.org/10.1007/s00466-011-0627-0, doi:10.1007/s00466-011-0627-0.
M. Salloum, K.N. Karlson, and H. Jin. Comparing field data using alpert multi-wavelets. Comput Mech, 66:893–910, 2020. doi:https://doi.org/10.1007/s00466-020-01878-2.
William M. Scherzinger and Brian T. Lester. Library of advanced materials for engineering (lame) 4.48. Technical Report SAND2018-3231, Sandia National Laboratories, Albuquerque, NM and Livermore, CA, 2018.
Gregory D. Sjaardema. APREPRO: An Algebraic Preprocessor for Parameterizing Finite Element Analyses. SAND Report SAND92-2291, Sandia National Laboratories, Albuquerque, NM, 2013.
Michael E. Stender, Lauren L. Beghini, Joshua D. Sugar, Michael G. Veilleux, Samuel R. Subia, Thale R. Smith, Christopher W. San Marchi, Arthur A. Brown, and Daryl J. Dagel. A thermal-mechanical finite element workflow for directed energy deposition additive manufacturing process modeling. Additive Manufacturing, 21:556–566, 2018.
Ne-Zheng Sun and Alexander Sun. Model calibration and parameter estimation: for environmental and water resource systems. Springer, 2015.
Pauli Virtanen, Ralf Gommers, Travis E. Oliphant, Matt Haberland, Tyler Reddy, David Cournapeau, Evgeni Burovski, Pearu Peterson, Warren Weckesser, Jonathan Bright, Stéfan J. van der Walt, Matthew Brett, Joshua Wilson, K. Jarrod Millman, Nikolay Mayorov, Andrew R. J. Nelson, Eric Jones, Robert Kern, Eric Larson, C J Carey, İlhan Polat, Yu Feng, Eric W. Moore, Jake VanderPlas, Denis Laxalde, Josef Perktold, Robert Cimrman, Ian Henriksen, E. A. Quintero, Charles R. Harris, Anne M. Archibald, Antônio H. Ribeiro, Fabian Pedregosa, Paul van Mulbregt, and SciPy 1.0 Contributors. SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python. Nature Methods, 17:261–272, 2020. doi:10.1038/s41592-019-0686-2.
E Voce. The relationship between stress and strain for homogeneous deformation. Journal of the Institute of Metals, 74:537–562, 1948.
Holger Wendland. Scattered data approximation. Volume 17. Cambridge university press, 2004.
SIERRA Solid Mechanics Team. Sierra/SolidMechanics 4.48 User's Guide. SAND Report SAND2018-2961, Sandia National Laboratories, Albuquerque, NM and Livermore, CA, 2018.