A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials

K Matouš, MGD Geers, VG Kouznetsova… - Journal of Computational …, 2017 - Elsevier
Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …

Projection-based model reduction: Formulations for physics-based machine learning

R Swischuk, L Mainini, B Peherstorfer, K Willcox - Computers & Fluids, 2019 - Elsevier
This paper considers the creation of parametric surrogate models for applications in science
and engineering where the goal is to predict high-dimensional output quantities of interest …

A recurrent neural network-accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths

L Wu, NG Kilingar, L Noels - Computer Methods in Applied Mechanics …, 2020 - Elsevier
Abstract An artificial Neural Network (NNW) is designed to serve as a surrogate model of
micro-scale simulations in the context of multi-scale analyses in solid mechanics. The …

[HTML][HTML] Perspectives of physics-based machine learning strategies for geoscientific applications governed by partial differential equations

D Degen, D Caviedes Voullième… - Geoscientific Model …, 2023 - gmd.copernicus.org
An accurate assessment of the physical states of the Earth system is an essential component
of many scientific, societal, and economical considerations. These assessments are …

Computational mechanics enhanced by deep learning

A Oishi, G Yagawa - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
The present paper describes a method to enhance the capability of, or to broaden the scope
of computational mechanics by using deep learning, which is one of the machine learning …

Optimisation of manufacturing process parameters using deep neural networks as surrogate models

J Pfrommer, C Zimmerling, J Liu, L Kärger, F Henning… - Procedia CiRP, 2018 - Elsevier
Optimisation of manufacturing process parameters requires resource-intensive search in a
high-dimensional parameter space. In some cases, physics-based simulations can replace …

Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts

J Köbler, M Schneider, F Ospald, H Andrä… - Computational …, 2018 - Springer
For short fiber reinforced plastic parts the local fiber orientation has a strong influence on the
mechanical properties. To enable multiscale computations using surrogate models we …

Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning

KT Carlberg, A Jameson, MJ Kochenderfer… - Journal of …, 2019 - Elsevier
Data I/O poses a significant bottleneck in large-scale CFD simulations; thus, practitioners
would like to significantly reduce the number of times the solution is saved to disk, yet retain …

Embodiment of intra-abdominal pressure in a flexible multibody model of the trunk and the spinal unloading effects during static lifting tasks

J Guo, W Guo, G Ren - Biomechanics and Modeling in Mechanobiology, 2021 - Springer
The role of intra-abdominal pressure (IAP) in spinal load reduction has remained
controversial, partly because previous musculoskeletal models did not introduce the …

Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference

B Peherstorfer - SIAM Journal on Scientific Computing, 2020 - SIAM
This work introduces a method for learning low-dimensional models from data of high-
dimensional black-box dynamical systems. The novelty is that the learned models are …