Year: 2025
Type: article
Abstract: The increasing complexity of modern constitutive models of cyclic metal plasticity requires more efficient ways to achieve their optimal calibration. Traditional approaches, such as random search combined with Nelder–Mead optimization, are computationally expensive. In addition, they struggle with highly non-convex functions that have numerous local minima and complex behavior, making these methods highly sensitive to initial conditions. While numerical refinement is key, a better prediction for its initial point directly saves costs. In this work, we focus only on the uniaxial cyclic loading, as it is the dominant part of a general calibration process for such a model and can also utilize a closed-form solution, further speeding up the procedure. We propose a neural network framework with a loss function that combines the loss on both the predicted parameters and the generated stress responses. This network is then used to predict an initial point for Nelder–Mead optimization. Our method was also compared to the non-gradient Tensor Train Optimization method on both synthetic data and measured experiments.
Source: Acta Mechanica
Authors: Martin Kovanda, René Marek, Petr Tichavský
Language: English
Subfield: Mechanical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,490
Awards: G1375342861, G2678520069, G2837487746, G3185407927, G3298403960, G483707145, Tensor Decomposition in Active Fault Diagnosis for Stochastic Large Scale Systems, Mechanical and structural properties of additively manufactured AlSi10Mg alloy with effect of powder recycling, Advanced Phenomenological Models of Plasticity and Phase Transformations in Modern Engineering Materials, G7195575996, G7454142944, G869635493
OpenAlex ID: W4411132398