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Finite element modeling is a well-established tool for structural analysis, yet modeling complex structures often requires extensive pre-processing, significant analysis effort, and considerable time. This study addresses this challenge by…

A novel deep operator network (DeepONet) with a residual U-Net (ResUNet) as the trunk network is devised to predict full-field highly nonlinear elastic-plastic stress response for complex geometries obtained from topology optimization under…

Computational Engineering, Finance, and Science · Computer Science 2023-08-01 Junyan He , Seid Koric , Shashank Kushwaha , Jaewan Park , Diab Abueidda , Iwona Jasiuk

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

Machine Learning · Computer Science 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

In the design of engineered components, rigorous vibration testing is essential for performance validation and identification of resonant frequencies and amplitudes encountered during operation. Performing this evaluation numerically via…

Machine Learning · Computer Science 2026-03-12 D. Bluedorn , A. Badawy , B. E. Saunders , D. Roettgen , A. Abdelkefi

Deep learning has been the most popular machine learning method in the last few years. In this chapter, we present the application of deep learning and physics-informed neural networks concerning structural mechanics and vibration problems.…

Machine Learning · Computer Science 2022-02-23 Ehsan Haghighat , Ali Can Bekar , Erdogan Madenci , Ruben Juanes

In mechanical structures like airplanes, cars and houses, noise is generated and transmitted through vibrations. To take measures to reduce this noise, vibrations need to be simulated with expensive numerical computations. Deep learning…

Machine Learning · Computer Science 2024-12-04 Jan van Delden , Julius Schultz , Christopher Blech , Sabine C. Langer , Timo Lüddecke

Shape optimization is essential in aerospace vehicle design, including reentry systems, and propulsion system components, as it directly influences aerodynamic efficiency, structural integrity, and overall mission success. Rapid and…

Machine Learning · Computer Science 2025-05-27 Ahmad Peyvan , Varun Kumar , George Em Karniadakis

Recently deep learning and machine learning approaches have been widely employed for various applications in acoustics. Nonetheless, in the area of sound field processing and reconstruction classic methods based on the solutions of wave…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-07 Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

In recent years, decentralized sensor networks have garnered significant attention in the field of state estimation owing to enhanced robustness, scalability, and fault tolerance. Optimal fusion performance can be achieved under fully…

Signal Processing · Electrical Eng. & Systems 2025-08-27 Ruifeng Dong , Ming Wang , Ning Liu , Tong Guo , Jiayi Kang , Xiaojing Shen , Yao Mao

Focused ultrasound (FUS) therapy is a promising tool for optimally targeted treatment of spinal cord injuries (SCI), offering submillimeter precision to enhance blood flow at injury sites while minimizing impact on surrounding tissues.…

Medical Physics · Physics 2024-12-23 Avisha Kumar , Xuzhe Zhi , Zan Ahmad , Minglang Yin , Amir Manbachi

Failure trajectories, identifying the probable failure zones, and damage statistics are some of the key quantities of relevance in brittle fracture applications. High-fidelity numerical solvers that reliably estimate these relevant…

Machine Learning · Computer Science 2022-02-16 Somdatta Goswami , Minglang Yin , Yue Yu , George Karniadakis

Recent advances in scientific machine learning have shed light on the modeling of pattern-forming systems. However, simulations of real patterns still incur significant computational costs, which could be alleviated by leveraging large…

Computational Engineering, Finance, and Science · Computer Science 2023-02-28 Wei Li , Martin Z. Bazant , Juner Zhu

The existing physical-informed Deep Operator Networks are mostly based on either the well-known mathematical formula of the system or huge amounts of data for different scenarios. However, in some cases, it is difficult to get the exact…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Jieming Sun , Lichun Li

Time dependent reliability analysis and uncertainty quantification of structural system subjected to stochastic forcing function is a challenging endeavour as it necessitates considerable computational time. We investigate the efficacy of…

Machine Learning · Statistics 2022-02-01 Shailesh Garg , Harshit Gupta , Souvik Chakraborty

Energy efficiency remains a critical challenge in deploying physics-informed operator learning models for computational mechanics and scientific computing, particularly in power-constrained settings such as edge and embedded devices, where…

Computational Physics · Physics 2026-03-24 Shailesh Garg , Luis Mandl , Somdatta Goswami , Souvik Chakraborty

Coupled multiphysics simulations for high-dimensional, large-scale problems can be prohibitively expensive due to their computational demands. This article presents a novel framework integrating a deep operator network (DeepONet) with the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Fouad M. Amin , Diab W. Abueidda , Panos Pantidis , Mostafa E. Mobasher

Dynamic response evaluation in structural engineering is the process of determining the response of a structure, such as member forces, node displacements, etc when subjected to dynamic loads such as earthquakes, wind, or impact. This is an…

Machine Learning · Computer Science 2023-08-21 Faisal Nissar Malik , James Ricles , Masoud Yari , Malik Arsala Nissar

External influences such as traffic and environmental factors induce vibrations in structures, leading to material degradation over time. These vibrations result in cracks due to the material's lack of plasticity compromising structural…

Machine Learning · Computer Science 2024-07-02 Melanie Schaller , Daniel Schlör , Andreas Hotho

Full Waveform Inversion (FWI) is an important geophysical technique considered in subsurface property prediction. It solves the inverse problem of predicting high-resolution Earth interior models from seismic data. Traditional FWI methods…

Efficiently solving constrained optimization problems is crucial for numerous real-world applications, yet traditional solvers are often computationally prohibitive for real-time use. Machine learning-based approaches have emerged as a…

Machine Learning · Computer Science 2025-10-27 Hoang T. Nguyen , Priya L. Donti
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