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

Machine learning assisted stochastic-XFEM for stochastic crack propagation and reliability analysis

(2021) Edel R. Martnez et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

Operator learning for predicting multiscale bubble growth dynamics

(2021) Chensen Lin et al.   JOURNAL OF CHEMICAL PHYSICS

An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture

(2021) Yue Yu et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics

(2021) Ehsan Haghighat et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks

(2021) Shengze Cai et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A nonlocal physics-informed deep learning framework using the peridynamic differential operator

(2021) Ehsan Haghighat et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Adaptive fourth-order phase field analysis for brittle fracture

(2020) Somdatta Goswami et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

Adaptive fourth-order phase field analysis using deep energy minimization

(2020) Somdatta Goswami et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

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

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

Data-driven learning of nonlocal physics from high-fidelity synthetic data

(2020) Huaiqian You et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Prediction of aerodynamic flow fields using convolutional neural networks

(2019) Saakaar Bhatnagar et al.   COMPUTATIONAL MECHANICS

Mesh-Based and Meshfree Reduced Order Phase-Field Models for Brittle Fracture: One Dimensional Problems

(2019) Ngoc-Hien Nguyen et al.   Materials

Adaptive phase field analysis with dual hierarchical meshes for brittle fracture

(2019) Somdatta Goswami et al.   ENGINEERING FRACTURE MECHANICS

Transfer learning enhanced physics informed neural network for phase-field modeling of fracture

(2019) Somdatta Goswami et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

A partitioned coupling framework for peridynamics and classical theory: Analysis and simulations

(2018) Yue Yu et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel development of bi-level reduced surrogate model to predict ductile fracture behaviors

(2018) Yuliang Hou et al.   ENGINEERING FRACTURE MECHANICS

Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification

(2018) Yinhao Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics

(2018) Nathaniel Trask et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

Solving ill-posed inverse problems using iterative deep neural networks

(2017) Jonas Adler et al.   INVERSE PROBLEMS

Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models

(2017) Benjamin Peherstorfer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure

(2015) T.T. Nguyen et al.   ENGINEERING FRACTURE MECHANICS

A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework

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

A phase-field description of dynamic brittle fracture

(2012) Michael J. Borden et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits

(2010) Christian Miehe et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A continuum phase field model for fracture

(2010) Charlotte Kuhn et al.   ENGINEERING FRACTURE MECHANICS

A method for interpolating on manifolds structural dynamics reduced-order models

(2009) David Amsallem et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity

(2008) D. Amsallem et al.   AIAA JOURNAL