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Related papers: Material-Response-Informed DeepONet and its Applic…

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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

In this work we employ data-driven homogenization approaches to predict the particular mechanical evolution of polycrystalline aggregates with tens of individual crystals. In these oligocrystals the differences in stress response due to…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Ari L. Frankel , Reese E. Jones , Coleman Alleman , Jeremy A. Templeton

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…

This work presents a machine learning approach to predict peak-stress clusters in heterogeneous polycrystalline materials. Prior work on using machine learning in the context of mechanics has largely focused on predicting the effective…

Analysis of PDEs · Mathematics 2024-05-10 Ankit Shrivastava , Jingxiao Liu , Kaushik Dayal , Hae Young Noh

Crystal-structure phase mapping is a core, long-standing challenge in materials science that requires identifying crystal structures, or mixtures thereof, in synthesized materials. Materials science experts excel at solving simple systems…

Crystal plasticity theory is often employed to predict the mesoscopic states of polycrystalline metals, and is well-known to be costly to simulate. Using a neural network with convolutional layers encoding correlations in time and space, we…

Computational Physics · Physics 2019-10-09 Ari Frankel , Kousuke Tachida , Reese Jones

The influence of the microstructure of a polycrystalline material on its macroscopic deformation response is still one of the major problems in materials engineering. For materials characterized by elastic-plastic deformation responses,…

Materials Science · Physics 2022-02-07 Jan N. Fuhg , Lloyd van Wees , Mark Obstalecki , Paul Shade , Nikolaos Bouklas , Matthew Kasemer

The development of next-generation structural materials for harsh environments requires rapid assessment of mechanical performance and its dependence on microstructure. While full-field crystal plasticity (CP) models provide detailed…

Materials Science · Physics 2025-10-09 Michael D. Atkinson , Michael D. White , Adam J. Plowman , Pratheek Shanthraj

Multiscale modeling is an effective approach for investigating multiphysics systems with largely disparate size features, where models with different resolutions or heterogeneous descriptions are coupled together for predicting the system's…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Minglang Yin , Enrui Zhang , Yue Yu , George Em Karniadakis

Design and analysis of inelastic materials requires prediction of physical responses that evolve under loading. Numerical simulation of such behavior using finite element (FE) approaches can call for significant time and computational…

Materials Science · Physics 2025-07-08 Indrashish Saha , Ashwini Gupta , Lori Graham-Brady

Nonlinear structural analyses in engineering often require extensive finite element simulations, limiting their applicability in design optimization and real-time control. Conventional deep learning surrogates often struggle with complex,…

Machine Learning · Computer Science 2026-02-20 Jangseop Park , Namwoo Kang

Burn injuries present a significant global health challenge. Among the most severe long-term consequences are contractures, which can lead to functional impairments and disfigurement. Understanding and predicting the evolution of post-burn…

Numerical Analysis · Mathematics 2024-11-25 Selma Husanovic , Ginger Egberts , Alexander Heinlein , Fred Vermolen

Crystal property prediction, governed by quantum mechanical principles, is computationally prohibitive to solve exactly for large many-body systems using traditional density functional theory. While machine learning models have emerged as…

Materials Science · Physics 2026-01-28 Bin Cao , Yang Liu , Longhan Zhang , Yifan Wu , Zhixun Li , Yuyu Luo , Hong Cheng , Yang Ren , Tong-Yi Zhang

Deep Operator Network (DeepONet), a recently introduced deep learning operator network, approximates linear and nonlinear solution operators by taking parametric functions (infinite-dimensional objects) as inputs and mapping them to…

Computational Engineering, Finance, and Science · Computer Science 2023-10-12 Junyan He , Shashank Kushwaha , Jaewan Park , Seid Koric , Diab Abueidda , Iwona Jasiuk

Unlike classical artificial neural networks, which require retraining for each new set of parametric inputs, the Deep Operator Network (DeepONet), a lately introduced deep learning framework, approximates linear and nonlinear solution…

Computational Engineering, Finance, and Science · Computer Science 2024-03-25 Shashank Kushwaha , Jaewan Park , Seid Koric , Junyan He , Iwona Jasiuk , Diab Abueidda

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

Accurately predicting the physical and chemical properties of materials remains one of the most challenging tasks in material design, and one effective strategy is to construct a reliable data set and use it for training a machine learning…

Materials Science · Physics 2021-12-30 Pin Chen , Jianwen Chen , Hui Yan , Qing Mo , Zexin Xu , Jinyu Liu , Wenqing Zhang , Yuedong Yang , Yutong Lu

Composite materials like syntactic foams have complex internal microstructures that manifest high-stress concentrations due to material discontinuities occurring from hollow regions and thin walls of hollow particles or microballoons…

Applied Physics · Physics 2023-05-16 Haotian Feng , Pavana Prabhakar

Predicting stress fields in hyperelastic materials with complex microstructures remains challenging for traditional deep learning surrogates, which struggle to capture both sharp stress concentrations and the wide dynamic range of stress…

Machine Learning · Statistics 2026-03-20 Purna Vindhya Kota , Meer Mehran Rashid , Somdatta Goswami , Lori Graham-Brady

Fast and accurate predictions for complex physical dynamics are a significant challenge across various applications. Real-time prediction on resource-constrained hardware is even more crucial in real-world problems. The deep operator…

Machine Learning · Computer Science 2023-12-27 Jae Yong Lee , Sung Woong Cho , Hyung Ju Hwang
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