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

• Published in: Computational materials science Vol. 255; p. 113885
• Main Authors: Yan, Ryan, Seidl, D. Thomas, Jones, Reese E., Papadopoulos, Panayiotis
• Format: Journal Article
• Language: English
• Published: United States Elsevier B.V 05.06.2025; Elsevier
• Subjects: Adjoint method; Automatic differentiation; Model calibration; Plasticity; Adjoint method; Model calibration; Plasticity; Automatic differentiation
• ISSN: 0927-0256
• DOI: 10.1016/j.commatsci.2025.113885

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. •Efficient Hessian computation via a direct-adjoint approach facilitated by automatic differentiation.•Model calibration performed using both synthetic and experimental data.•Hessian-based optimization improves model calibration efficiency.