Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model
for Complex Material Responses

Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses

11 January 2024

Stewart Silling

Zhongqiang Zhang

Papers citing "Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses"

16 / 16 papers shown

Title
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions Jihong Wang Xiaochuan Tian Zhongqiang Zhang Stewart Silling S. Jafarzadeh Yue Yu 41 0 0 02 May 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in learning nonlocal operators Yiming Fan H. Najm Yue Yu Stewart Silling M. DÉlia UQCV 30 0 0 27 Oct 2024
Disentangled Representation Learning for Parametric Partial Differential Equations Ning Liu Lu Zhang Tian Gao Yue Yu DRL AI4CE 47 0 0 03 Oct 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 51 7 0 14 Aug 2024
Magnetic Hysteresis Modeling with Neural Operators Abhishek Chandra B. Daniels M. Curti K. Tiels E. Lomonova AI4CE 45 2 0 03 Jul 2024
Deep Neural Operator Enabled Digital Twin Modeling for Additive Manufacturing Ning Liu Xuxiao Li M. Rajanna E. Reutzel Brady A Sawyer Prahalada Rao Jim Lua Nam Phan Yue Yu AI4CE 48 8 0 13 May 2024
Heterogeneous Peridynamic Neural Operators: Discover Biotissue Constitutive Law and Microstructure From Digital Image Correlation Measurements S. Jafarzadeh Stewart Silling Lu Zhang Colton J. Ross Chung-Hao Lee S. M. R. Rahman Shuodao Wang Yue Yu 30 5 0 27 Mar 2024
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 24 8 0 18 Dec 2023
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 29 23 0 30 Apr 2023
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 119 251 0 11 Jul 2022
Nonparametric learning of kernels in nonlocal operators Fei Lu Qi An Yue Yu 37 18 0 23 May 2022
Data-driven Tissue Mechanics with Polyconvex Neural Ordinary Differential Equations Vahidullah Tac F. Sahli Costabal A. B. Tepole AI4CE 44 69 0 03 Oct 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 126 200 0 28 Sep 2021
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws Huaiqian You Yue Yu Stewart Silling M. DÉlia 35 33 0 08 Dec 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 217 2,287 0 18 Oct 2020