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Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Data-driven material models have many advantages over classical numerical approaches, such as the direct utilization of experimental data and the possibility to improve performance of predictions when additional data is available. One…

Computational Engineering, Finance, and Science · Computer Science 2020-06-11 Dengpeng Huang , Jan Niklas Fuhg , Christian Weißenfels , Peter Wriggers

The calibration of solid constitutive models with full-field experimental data is a long-standing challenge, especially in materials which undergo large deformation. In this paper, we propose a physics-informed deep-learning framework for…

Machine Learning · Computer Science 2022-04-01 Craig M. Hamel , Kevin N. Long , Sharlotte L. B. Kramer

The performance of machine learning surrogates is critically dependent on data quality and quantity. This presents a major challenge, as high-fidelity (HF) data is often scarce and computationally expensive to acquire, while low-fidelity…

Machine Learning · Computer Science 2026-02-03 Jice Zeng , David Barajas-Solano , Hui Chen

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

We introduce multiple physics pretraining (MPP), an autoregressive task-agnostic pretraining approach for physical surrogate modeling of spatiotemporal systems with transformers. In MPP, rather than training one model on a specific physical…

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

Machine Learning · Statistics 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

Adaptive morphogenetic robots adapt their morphology and control policies to meet changing tasks and environmental conditions. Many such systems leverage soft components, which enable shape morphing but also introduce simulation and control…

Constitutive modeling based on continuum mechanics theory has been a classical approach for modeling the mechanical responses of materials. However, when constitutive laws are unknown or when defects and/or high degrees of heterogeneity are…

Machine Learning · Computer Science 2022-07-27 Huaiqian You , Quinn Zhang , Colton J. Ross , Chung-Hao Lee , Yue Yu

Flexible spacecraft structures present significant challenges for physical and control system design due to nonlinear dynamics, mission constraints, environmental variables, and changing operational conditions. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Matthew Hilsenrath , Daniel R. Herber

Concurrent multiscale finite element analysis (FE2) is a powerful approach for high-fidelity modeling of materials for which a suitable macroscopic constitutive model is not available. However, the extreme computational effort associated…

Numerical Analysis · Mathematics 2020-07-16 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

There is a high interest in accelerating multiscale models using data-driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational…

Numerical Analysis · Mathematics 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

High-fidelity computational models of cardiac mechanics provide mechanistic insight into the heart function but are computationally prohibitive for routine clinical use. Surrogate models can accelerate simulations, but generalization across…

Machine Learning · Computer Science 2026-02-25 Davide Carrara , Marc Hirschvogel , Francesca Bonizzoni , Stefano Pagani , Simone Pezzuto , Francesco Regazzoni

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

Machine Learning · Computer Science 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

We develop two deep learning surrogate autoregressive models for the prediction of the temporal evolution of two-dimensional ideal magnetohydrodynamic (MHD) Kelvin-Helmholtz instabilities across a range of magnetic field strengths. Using…

Plasma Physics · Physics 2026-04-21 David Kivarkis , Waleed Mouhali , Sadruddin Benkadda , Kai Schneider

Physics Informed Machine Learning has emerged as a popular approach for modeling and simulation in digital twins, enabling the generation of accurate models of processes and behaviors in real-world systems. However, existing methods either…

Machine Learning · Computer Science 2025-07-15 Muhammad Saad Zia , Ashiq Anjum , Lu Liu , Anthony Conway , Anasol Pena Rios

The robotic systems continuously interact with complex dynamical systems in the physical world. Reliable predictions of spatiotemporal evolution of these dynamical systems, with limited knowledge of system dynamics, are crucial for…

Artificial Intelligence · Computer Science 2019-01-08 Yun Long , Xueyuan She , Saibal Mukhopadhyay

This study investigates whether Physically Recurrent Neural Networks (PRNNs), a recent surrogate model for heterogeneous materials, trained on a micromodel with fixed material parameters, can maintain accuracy for varying material…

Disordered Systems and Neural Networks · Physics 2025-04-17 N. Kovács , I. B. C. M. Rocha , F. P. van der Meer , C. Furtado , P. P. Camanho