Analyses of internal structures and defects in materials using physics-informed neural networks

Physics-informed neural networks (PINNs) for fluid mechanics: a review

(2022) Shengze Cai et al.   ACTA MECHANICA SINICA

A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials

(2022) Somdatta Goswami et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Artificial intelligence velocimetry and microaneurysm-on-a-chip for three-dimensional analysis of blood flow in physiology and disease

(2021) Shengze Cai et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Physics-Informed Deep Learning for Computational Elastodynamics without Labeled Data

(2021) Chengping Rao et al.   JOURNAL OF ENGINEERING MECHANICS

On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks

(2021) Sifan Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

When and why PINNs fail to train: A neural tangent kernel perspective

(2021) Sifan Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Parallel physics-informed neural networks via domain decomposition

(2021) Khemraj Shukla et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The mixed Deep Energy Method for resolving concentration features in finite strain hyperelasticity

(2021) Jan N. Fuhg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

(2020) Maziar Raissi et al.   SCIENCE

Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations

(2020) Liu Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

(2020) E. Samaniego et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Physics-informed neural networks for inverse problems in nano-optics and metamaterials

(2020) Yuyao Chen et al.   OPTICS EXPRESS

Extraction of mechanical properties of materials through deep learning from instrumented indentation

(2020) Lu Lu et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

(2020) Ameya D. Jagtap et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Physics-Informed Neural Network for Ultrasound Nondestructive Quantification of Surface Breaking Cracks

(2020) Khemraj Shukla et al.   JOURNAL OF NONDESTRUCTIVE EVALUATION

Deep learning of free boundary and Stefan problems

(2020) Sifan Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Metallization of diamond

(2020) Zhe Shi et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Non-invasive inference of thrombus material properties with physics-informed neural networks

(2020) Minglang Yin et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Deep elastic strain engineering of bandgap through machine learning

(2019) Zhe Shi et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Adaptive activation functions accelerate convergence in deep and physics-informed neural networks

(2019) Ameya D. Jagtap et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Machine learning for molecular and materials science

(2018) Keith T. Butler et al.   NATURE

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

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Estimating the non-homogeneous elastic modulus distribution from surface deformations

(2016) Yue Mei et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Deep learning

(2015) Yann LeCun et al.   NATURE

Modeling and identification of an arbitrarily shaped scatterer using dynamic XFEM with cubic splines

(2014) J. Jung et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Nondestructive identification of multiple flaws using XFEM and a topologically adapting artificial bee colony algorithm

(2013) Hao Sun et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Detection of the Subsurface Cracks in a Stainless Steel Plate Using Pulsed Eddy Current

(2013) Duck-Gun Park et al.   JOURNAL OF NONDESTRUCTIVE EVALUATION

Deep Neural Networks for Acoustic Modeling in Speech Recognition: The Shared Views of Four Research Groups

(2012) Geoffrey Hinton et al.   IEEE SIGNAL PROCESSING MAGAZINE

Quantification of defects in composites and rubber materials using active thermography

(2012) B.B. Lahiri et al.   INFRARED PHYSICS & TECHNOLOGY

Topological and shape gradient strategy for solving geometrical inverse problems

(2012) S. Chaabane et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Model-based elastography: a survey of approaches to the inverse elasticity problem

(2012) M M Doyley   PHYSICS IN MEDICINE AND BIOLOGY

Surface Crack Detection for Carbon Fiber Reinforced Plastic (CFRP) Materials Using Pulsed Eddy Current Thermography

(2011) Liang Cheng et al.   IEEE SENSORS JOURNAL

Solution of the nonlinear elasticity imaging inverse problem: The incompressible case

(2010) Sevan Goenezen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Microwave Radar-Based Breast Cancer Detection: Imaging in Inhomogeneous Breast Phantoms

(2009) M. Klemm et al.   IEEE Antennas and Wireless Propagation Letters

Detection and quantification of flaws in structures by the extended finite element method and genetic algorithms

(2009) Haim Waisman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

The finite cell method for three-dimensional problems of solid mechanics

(2008) A. Düster et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Automatic ultrasonic inspection for internal defect detection in composite materials

(2007) T. D’Orazio et al.   NDT & E INTERNATIONAL