Efficient multiscale modeling of heterogeneous materials using deep neural networks

FE$${}^\textrm{ANN}$$: an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining

(2023) Karl A. Kalina et al.   COMPUTATIONAL MECHANICS

Computational homogenization of higher‐order continua

(2022) Felix Schmidt et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A k‐means clustering machine learning‐based multiscale method for anelastic heterogeneous structures with internal variables

(2022) Mohamed Amine Benaimeche et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Physics informed neural networks for continuum micromechanics

(2022) Alexander Henkes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space-filling sampling

(2022) Jan N. Fuhg et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel self-adversarial training scheme for enhanced robustness of inelastic constitutive descriptions by neural networks

(2022) Julien Stöcker et al.   COMPUTERS & STRUCTURES

A mechanics‐informed artificial neural network approach in data‐driven constitutive modeling

(2022) Faisal As'ad et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A note on rapid genetic calibration of artificial neural networks

(2022) T. I. Zohdi   COMPUTATIONAL MECHANICS

Machine-learning and digital-twins for rapid evaluation and design of injected vaccine immune-system responses

(2022) T.I. Zohdi   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures

(2022) Nima Noii et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A surrogate model for the prediction of permeabilities and flow through porous media: a machine learning approach based on stochastic Brownian motion

(2022) Rainer Niekamp et al.   COMPUTATIONAL MECHANICS

Deep CNNs as universal predictors of elasticity tensors in homogenization

(2022) Bernhard Eidel   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data

(2021) Bahador Bahmani et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

DNN2: A hyper-parameter reinforcement learning game for self-design of neural network based elasto-plastic constitutive descriptions

(2021) Alexander Fuchs et al.   COMPUTERS & STRUCTURES

A Stochastic FE2 Data-Driven Method for Nonlinear Multiscale Modeling

(2021) Xiaoxin Lu et al.   Materials

HiDeNN-TD: Reduced-order hierarchical deep learning neural networks

(2021) Lei Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Material modeling for parametric, anisotropic finite strain hyperelasticity based on machine learning with application in optimization of metamaterials

(2021) Mauricio Fernández et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Component-based machine learning paradigm for discovering rate-dependent and pressure-sensitive level-set plasticity models

(2021) Nikolaos Napoleon Vlassis et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

A microscale model for concrete failure in poro-elasto-plastic media

(2020) Fadi Aldakheel   THEORETICAL AND APPLIED FRACTURE MECHANICS

The neural particle method – An updated Lagrangian physics informed neural network for computational fluid dynamics

(2020) Henning Wessels et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A global–local approach for hydraulic phase-field fracture in poroelastic media

(2020) Fadi Aldakheel et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures

(2020) Xiaoxuan Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Data-driven fracture mechanics

(2020) P. Carrara et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Model-Free Data-Driven inelasticity

(2019) R. Eggersmann et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Bayesian Machine Learning in Metamaterial Design: Fragile Becomes Supercompressible

(2019) Miguel A. Bessa et al.   ADVANCED MATERIALS

Deep learning approaches for mining structure-property linkages in high contrast composites from simulation datasets

(2018) Zijiang Yang et al.   COMPUTATIONAL MATERIALS SCIENCE

A data-driven approach to nonlinear elasticity

(2018) Lu Trong Khiem Nguyen et al.   COMPUTERS & STRUCTURES

Recent advances in convolutional neural networks

(2018) Jiuxiang Gu et al.   PATTERN RECOGNITION

A Manifold Learning Approach for Integrated Computational Materials Engineering

(2016) E. Lopez et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Computational homogenization in magneto-mechanics

(2013) A. Javili et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Two-scale homogenization of electromechanically coupled boundary value problems

(2012) Jörg Schröder et al.   COMPUTATIONAL MECHANICS

Unified magnetomechanical homogenization framework with application to magnetorheological elastomers

(2012) George Chatzigeorgiou et al.   MATHEMATICS AND MECHANICS OF SOLIDS

Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials

(2011) O. Lloberas-Valls et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Homogenization in finite thermoelasticity

(2010) İ. Temizer et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Multi-scale computational homogenization: Trends and challenges

(2009) M.G.D. Geers et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A multiscale contact homogenization technique for the modeling of third bodies in the contact interface

(2008) İ. Temizer et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure

(2008) T. I. Zohdi   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING