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Autori principali: Yan, Ryan, Seidl, D. Thomas, Jones, Reese E., Papadopoulos, Panayiotis
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2501.04584
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author Yan, Ryan
Seidl, D. Thomas
Jones, Reese E.
Papadopoulos, Panayiotis
author_facet Yan, Ryan
Seidl, D. Thomas
Jones, Reese E.
Papadopoulos, Panayiotis
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_04584
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Direct-adjoint Approach for Material Point Model Calibration with Application to Plasticity
Yan, Ryan
Seidl, D. Thomas
Jones, Reese E.
Papadopoulos, Panayiotis
Computational Engineering, Finance, and Science
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.
title A Direct-adjoint Approach for Material Point Model Calibration with Application to Plasticity
topic Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2501.04584