| # | Title | Journal | Year | Citations |
|---|
| 1 | Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations | Journal of Computational Physics | 2019 | 4,963 |
| 2 | Physics-informed machine learning | Nature Reviews Physics | 2021 | 1,789 |
| 3 | Frictional Characteristics of Atomically Thin Sheets | Science | 2010 | 1,504 |
| 4 | Multirotor Aerial Vehicles: Modeling, Estimation, and Control of Quadrotor | IEEE Robotics and Automation Magazine | 2012 | 1,105 |
| 5 | The effective mechanical properties of nonlinear isotropic composites | Journal of the Mechanics and Physics of Solids | 1991 | 804 |
| 6 | The grand challenges of Science Robotics | Science Robotics | 2018 | 787 |
| 7 | Leader-to-Formation Stability | IEEE Transactions on Automation Science and Engineering | 2004 | 633 |
| 8 | Membrane-distillation desalination: Status and potential | Desalination | 2005 | 608 |
| 9 | Jet Impingement Heat Transfer: Physics, Correlations, and Numerical Modeling | Advances in Heat Transfer | 2006 | 591 |
| 10 | Electron–Water Interactions and Implications for Liquid Cell Electron Microscopy | Journal of Physical Chemistry C | 2014 | 519 |
| 11 | Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data | Journal of Computational Physics | 2019 | 510 |
| 12 | Gas flow in micro-channels | Journal of Fluid Mechanics | 1995 | 485 |
| 13 | Piezoelectric Biomaterials for Sensors and Actuators | Advanced Materials | 2019 | 477 |
| 14 | CHOMP: Covariant Hamiltonian optimization for motion planning | International Journal of Robotics Research | 2013 | 474 |
| 15 | Numerical Simulation of Electroosmotic Flow | Analytical Chemistry | 1998 | 460 |
| 16 | Enhanced Piezoelectricity and Stretchability in Energy Harvesting Devices Fabricated from Buckled PZT Ribbons | Nano Letters | 2011 | 452 |
| 17 | Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid Part 1. Sedimentation | Journal of Fluid Mechanics | 1994 | 433 |
| 18 | Thermoelastic properties of fiber composites with imperfect interface | Mechanics of Materials | 1990 | 420 |
| 19 | Mechanisms of antiwear tribofilm growth revealed in situ by single-asperity sliding contacts | Science | 2015 | 411 |
| 20 | Direct simulation of flows of solid-liquid mixtures | International Journal of Multiphase Flow | 1996 | 402 |
| 21 | The evolving quality of frictional contact with graphene | Nature | 2016 | 389 |
| 22 | On the numerical integration of a class of pressure-dependent plasticity models | International Journal for Numerical Methods in Engineering | 1987 | 377 |
| 23 | Essential requirement for two-pore channel 1 in NAADP-mediated calcium signaling | Journal of Cell Biology | 2009 | 376 |
| 24 | Nanoscale Flexoelectricity | Advanced Materials | 2013 | 362 |
| 25 | Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows | Journal of Fluid Mechanics | 1994 | 347 |
| 26 | Multiscale Mechanics of Fibrin Polymer: Gel Stretching with Protein Unfolding and Loss of Water | Science | 2009 | 346 |
| 27 | Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing | Journal of Computational Physics | 2006 | 345 |
| 28 | The Spherical Inclusion With Imperfect Interface | Journal of Applied Mechanics, Transactions ASME | 1991 | 341 |
| 29 | Interfacial thermal resistance between carbon nanotubes: Molecular dynamics simulations and analytical thermal modeling | Physical Review B | 2006 | 328 |
| 30 | Human-Inspired Robotic Grasp Control With Tactile Sensing | | 2011 | 320 |
| 31 | Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I—theory | Journal of the Mechanics and Physics of Solids | 2002 | 317 |
| 32 | A minute magneto hydro dynamic (MHD) mixer | Sensors and Actuators B: Chemical | 2001 | 314 |
| 33 | Vibrotactile Display: Perception, Technology, and Applications | Proceedings of the IEEE | 2013 | 312 |
| 34 | Controlling a chaotic system | Physical Review Letters | 1991 | 310 |
| 35 | Physics-Informed Neural Networks for Heat Transfer Problems | Journal of Heat Transfer | 2021 | 304 |
| 36 | Exact second-order estimates for the effective mechanical properties of nonlinear composite materials | Journal of the Mechanics and Physics of Solids | 1996 | 295 |
| 37 | Design, modeling, estimation and control for aerial grasping and manipulation | | 2011 | 288 |
| 38 | Thermal Conductivity of Individual Single-Wall Carbon Nanotubes | Journal of Heat Transfer | 2007 | 286 |
| 39 | Bubble and Pattern Formation in Liquid Induced by an Electron Beam | Nano Letters | 2014 | 286 |
| 40 | Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations | Philosophical Magazine | 2007 | 280 |
| 41 | Nanoscale wear as a stress-assisted chemical reaction | Nature Nanotechnology | 2013 | 279 |
| 42 | Thermoelastic properties of particulate composites with imperfect interface | Journal of the Mechanics and Physics of Solids | 1991 | 277 |
| 43 | Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks | Computer Methods in Applied Mechanics and Engineering | 2020 | 275 |
| 44 | Energy resources and use: The present situation and possible paths to the future☆ | Energy | 2008 | 274 |
| 45 | Instrument-Free Point-of-Care Molecular Detection of Zika Virus | Analytical Chemistry | 2016 | 263 |
| 46 | Biodegradable Piezoelectric Force Sensor | Proceedings of the National Academy of Sciences of the United States of America | 2018 | 259 |
| 47 | Elastoplastic analysis of the peel test | International Journal of Solids and Structures | 1988 | 257 |
| 48 | Analysis of microchannels for integrated cooling | International Journal of Heat and Mass Transfer | 1992 | 238 |
| 49 | Frictional ageing from interfacial bonding and the origins of rate and state friction | Nature | 2011 | 236 |
| 50 | Sources of Combustion Irreversibility | Combustion Science and Technology | 1994 | 234 |
