A nonlocal energy-informed neural network based on peridynamics for elastic solids with discontinuities

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

Reformulation of elasticity theory for discontinuities and long-range forces

Stewart Silling · Journal of the Mechanics and Physics of Solids · 2000 · 4.1K citations

Natural Sciences, Mechanical Engineering, Physics +14

A meshfree method based on the peridynamic model of solid mechanics

Stewart Silling, E. Askari · Computers & Structures · 2005 · 2.5K citations

Engineering, Computational Engineering, Mechanical Engineering +10

Peridynamic States and Constitutive Modeling

Stewart Silling, Michael A. Epton, Olaf Weckner et al. · Journal of Elasticity · 2007 · 2.4K citations

Natural Sciences, Physics, Applied Mechanics +10

Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next

Salvatore Cuomo, Vincenzo Schiano Di Cola, Fabio Giampaolo et al. · Journal of Scientific Computing · 2022 · 2.3K citations · Full text

Computing, Computer Science, Physics +16