A data-driven peridynamic continuum model for upscaling molecular
dynamics

A data-driven peridynamic continuum model for upscaling molecular dynamics

4 August 2021

Stewart Silling

ArXiv (abs)PDF HTML

Papers citing "A data-driven peridynamic continuum model for upscaling molecular dynamics"

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 111 2 0 02 May 2025
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in learning nonlocal operators Yiming Fan H. Najm Yue Yu Stewart Silling M. DÉlia UQCV 51 0 0 27 Oct 2024
ML-based identification of the interface regions for coupling local and nonlocal models Noujoud Nader Patrick Diehl Marta DÉlia Christian Glusa Serge Prudhomme 70 1 0 23 Apr 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 66 6 0 27 Mar 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 109 23 0 11 Jan 2024
Small noise analysis for Tikhonov and RKHS regularizations Quanjun Lang Fei Lu 57 5 0 18 May 2023
$Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures$ Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures Huaiqian You Xiao Xu Yue Yu Stewart Silling M. DÉlia J. Foster AI4CE 91 6 0 11 Jan 2023
A Data-Adaptive Prior for Bayesian Learning of Kernels in Operators Neil K. Chada Quanjun Lang Fei Lu Xiang Wang 61 3 0 29 Dec 2022
Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification Yiming Fan M. DÉlia Yue Yu H. Najm Stewart Silling 77 3 0 06 Oct 2022
MetaNOR: A Meta-Learnt Nonlocal Operator Regression Approach for Metamaterial Modeling Lu Zhang Huaiqian You Yue Yu OffRL 80 7 0 04 Jun 2022
Nonparametric learning of kernels in nonlocal operators Fei Lu Qi An Yue Yu 72 19 0 23 May 2022
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee Yue Yu AI4CE 100 107 0 15 Mar 2022
Data adaptive RKHS Tikhonov regularization for learning kernels in operators Fei Lu Quanjun Lang Qi An 57 12 0 08 Mar 2022
Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems Minglang Yin Enrui Zhang Yue Yu George Karniadakis AI4CE 120 102 0 25 Feb 2022
Machine Learning in Heterogeneous Porous Materials Martha DÉli H. Deng Cedric G. Fraces K. Garikipati L. Graham‐Brady ... H. Tchelepi B. Važić Hari S. Viswanathan H. Yoon P. Zarzycki AI4CE 75 9 0 04 Feb 2022
A physics-informed variational DeepONet for predicting the crack path in brittle materials S. Goswami Minglang Yin Yue Yu G. Karniadakis AI4CE 72 199 0 16 Aug 2021