A direct-adjoint approach for material point model calibration with application to plasticity

Yan, Ryan; Seidl, Daniel Thomas; Jones, Reese Edward; Papadopoulos, Panayiotis

doi:10.1016/j.commatsci.2025.113885

A direct-adjoint approach for material point model calibration with application to plasticity

Journal Article · Thu Apr 24 00:00:00 EDT 2025 · Computational Materials Science

DOI:https://doi.org/10.1016/j.commatsci.2025.113885· OSTI ID:2565130

Yan, Ryan ^[1]; ^[2]; Jones, Reese Edward ^[3]; Papadopoulos, Panayiotis ^[1]

University of California, Berkeley, CA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Here, this paper proposes a new approach for the calibration of material parameters in local elastoplastic constitutive models. The calibration is posed as a constrained optimization problem, where the constitutive model evolution equations for a single material point serve as constraints. The objective function quantifies the mismatch between the stress predicted by the model and corresponding experimental measurements. To improve calibration efficiency, a novel direct-adjoint approach is presented to compute the Hessian of the objective function, which enables the use of second-order optimization algorithms. Automatic differentiation is used for gradient and Hessian computations. Two numerical examples are employed to validate the Hessian matrices and to demonstrate that the Newton–Raphson algorithm consistently outperforms gradient-based algorithms such as L-BFGS-B.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 2565130

Report Number(s):: SAND--2025-05679J

Journal Information:: Computational Materials Science, Journal Name: Computational Materials Science Vol. 255; ISSN 0927-0256

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (26)

Direct, adjoint and mixed approaches for the computation of Hessian in airfoil design problems Papadimitriou, D. I.; Giannakoglou, K. C. International Journal for Numerical Methods in Fluids, Vol. 56, Issue 10 https://doi.org/10.1002/fld.1584	journal	January 2008
Single‐and multi‐objective genetic algorithm optimization for identifying soil parameters Papon, A.; Riou, Y.; Dano, C. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 36, Issue 5 https://doi.org/10.1002/nag.1019	journal	February 2011
Optimization routine for identification of model parameters in soil plasticity Mattsson, Hans; Klisinski, Marek; Axelsson, Kennet International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 25, Issue 5 https://doi.org/10.1002/nag.137	journal	March 2001
Soil parameter identification using a genetic algorithm Levasseur, S.; Malécot, Y.; Boulon, M. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 2 https://doi.org/10.1002/nag.614	journal	March 2007
A unified framework for nonlinear path-dependent sensitivity analysis in topology optimization Alberdi, Ryan; Zhang, Guodong; Li, Lei International Journal for Numerical Methods in Engineering, Vol. 115, Issue 1 https://doi.org/10.1002/nme.5794	journal	March 2018
Calibration of elastoplastic constitutive model parameters from full‐field data with automatic differentiation‐based sensitivities Seidl, D. Thomas; Granzow, Brian N. International Journal for Numerical Methods in Engineering, Vol. 123, Issue 1 https://doi.org/10.1002/nme.6843	journal	October 2021
Identification of Mechanical Material Behavior Through Inverse Modeling and DIC Cooreman, S.; Lecompte, D.; Sol, H. Experimental Mechanics, Vol. 48, Issue 4 https://doi.org/10.1007/s11340-007-9094-0	journal	November 2007
Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements Avril, Stéphane; Bonnet, Marc; Bretelle, Anne-Sophie Experimental Mechanics, Vol. 48, Issue 4 https://doi.org/10.1007/s11340-008-9148-y	journal	July 2008
Analysis of the Hessian for aerodynamic optimization: inviscid flow Arian, Eyal; Ta’asan, Shlomo Computers & Fluids, Vol. 28, Issue 7 https://doi.org/10.1016/S0045-7930(98)00060-7	journal	September 1999
Calibration of a constitutive model using genetic algorithms Pal, Surajit; Wije Wathugala, G.; Kundu, Sukhamay Computers and Geotechnics, Vol. 19, Issue 4 https://doi.org/10.1016/S0266-352X(96)00006-7	journal	January 1996
Extensions of the first and second complex-step derivative approximations Lai, K. -L.; Crassidis, J. L. Journal of Computational and Applied Mathematics, Vol. 219, Issue 1 https://doi.org/10.1016/j.cam.2007.07.026	journal	September 2008
Approximate Hessian for accelerated convergence of aerodynamic shape optimization problems in an adjoint-based framework Shi-Dong, Doug; Nadarajah, Siva Computers & Fluids, Vol. 168 https://doi.org/10.1016/j.compfluid.2018.04.019	journal	May 2018
Calibration of an elasto-plastic constitutive model by a constrained optimisation procedure Cekerevac, C.; Girardin, S.; Klubertanz, G. Computers and Geotechnics, Vol. 33, Issue 8 https://doi.org/10.1016/j.compgeo.2006.07.009	journal	December 2006
Calibration of the parameters for a hardening–softening constitutive model using genetic algorithms Rokonuzzaman, Md.; Sakai, Toshinori Computers and Geotechnics, Vol. 37, Issue 4 https://doi.org/10.1016/j.compgeo.2010.02.007	journal	June 2010
Post-Necking full-field FEMU identification of anisotropic plasticity from flat notched tension experiments Sakaridis, Emmanouil; Roth, Christian C.; Jordan, Benoit International Journal of Solids and Structures, Vol. 305 https://doi.org/10.1016/j.ijsolstr.2024.113076	journal	December 2024
Cohesive properties of refractory castable at 600 °C: Effect of sintering and testing temperature Vargas, R.; Canto, R. B.; Hild, F. Journal of the European Ceramic Society, Vol. 42, Issue 14 https://doi.org/10.1016/j.jeurceramsoc.2022.06.070	journal	November 2022
Simultaneous full-field multi-experiment identification Neggers, J.; Mathieu, F.; Hild, F. Mechanics of Materials, Vol. 133 https://doi.org/10.1016/j.mechmat.2019.03.001	journal	June 2019
Calibration of constitutive models using genetic algorithms Robson, Joseph D.; Armstrong, Daniel; Cordell, Joseph Mechanics of Materials, Vol. 189 https://doi.org/10.1016/j.mechmat.2023.104881	journal	February 2024
SciPy 1.0: fundamental algorithms for scientific computing in Python Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E. Nature Methods https://doi.org/10.1038/s41592-019-0686-2	journal	February 2020
Digital image correlation and infrared thermography data for seven unique geometries of 304L stainless steel Jones, E. M. C.; Reu, P. L.; Kramer, S. L. B. Scientific Data, Vol. 11, Issue 1 https://doi.org/10.1038/s41597-024-03949-y	journal	October 2024
Calibration of Continuum Cyclic Constitutive Models for Structural Steel Using Particle Swarm Optimization Smith, Christopher; Kanvinde, Amit; Deierlein, Gregory Journal of Engineering Mechanics, Vol. 143, Issue 5 https://doi.org/10.1061/(ASCE)EM.1943-7889.0001214	journal	May 2017
Differentiation formulas for analytic functions Lyness, J. N. Mathematics of Computation, Vol. 22, Issue 102 https://doi.org/10.1090/S0025-5718-1968-0230468-5	journal	January 1968
Numerical Differentiation of Analytic Functions Lyness, J. N.; Moler, C. B. SIAM Journal on Numerical Analysis, Vol. 4, Issue 2 https://doi.org/10.1137/0704019	journal	June 1967
Anisotropic yield surface identification of sheet metal through stereo finite element model updating Wang, Yueqi; Coppieters, Sam; Lava, Pascal The Journal of Strain Analysis for Engineering Design, Vol. 51, Issue 8 https://doi.org/10.1177/0309324716666437	journal	September 2016
A Size-Dependent Cost Function to Solve the Inverse Elasticity Problem Zhao, Xinbo; Sun, Yanli; Mei, Yue Applied Sciences, Vol. 9, Issue 9 https://doi.org/10.3390/app9091799	journal	April 2019
A Review of Characterization and Modelling Approaches for Sheet Metal Forming of Lightweight Metallic Materials Hou, Yong; Myung, Dongjoon; Park, Jong Kyu Materials, Vol. 16, Issue 2 https://doi.org/10.3390/ma16020836	journal	January 2023

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36 MATERIALS SCIENCE
Adjoint method
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Plasticity

A direct-adjoint approach for material point model calibration with application to plasticity

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