Deep autoencoders for physics-constrained data-driven nonlinear materials modeling

X He, Q He, JS Chen - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
Physics-constrained data-driven computing is an emerging computational paradigm that
allows simulation of complex materials directly based on material database and bypass the …

An investigation on the coupling of data-driven computing and model-driven computing

J Yang, W Huang, Q Huang, H Hu - Computer Methods in Applied …, 2022 - Elsevier
The aim of this work is to investigate the coupling of data-driven (DD) computing and model-
driven (MD) computing for the analyses of engineering structures. The data-driven …

Finite element solver for data-driven finite strain elasticity

A Platzer, A Leygue, L Stainier, M Ortiz - Computer Methods in Applied …, 2021 - Elsevier
A nominal finite element solver is proposed for data-driven finite strain elasticity. It bypasses
the need for a constitutive model by considering a database of deformation gradient/first …

Data-driven hyperelasticity, Part II: A canonical framework for anisotropic soft biological tissues

OZ Tikenoğulları, AK Açan, E Kuhl, H Dal - … of the Mechanics and Physics of …, 2023 - Elsevier
In this work, we present a novel anisotropic data-driven hyperelasticity framework for the
constitutive modeling of soft biological tissues that allows direct incorporation of …

Deep learning framework for multiscale finite element analysis based on data-driven mechanics and data augmentation

S Kim, H Shin - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
In this study, a deep learning framework for multiscale finite element analysis (FE 2) is
proposed. To overcome the inefficiency of the concurrent classical FE 2 method induced by …

A database construction method for data-driven computational mechanics of composites

L Li, Q Shao, Y Yang, Z Kuang, W Yan, J Yang… - International Journal of …, 2023 - Elsevier
A new method combining computational homogenization and the Artificial Neural Network
(ANN) is proposed to construct elastoplastic composites database efficiently for data-driven …

Accelerating the distance-minimizing method for data-driven elasticity with adaptive hyperparameters

LTK Nguyen, RC Aydin, CJ Cyron - Computational Mechanics, 2022 - Springer
Data-driven constitutive modeling in continuum mechanics assumes that abundant material
data are available and can effectively replace the constitutive law. To this end, Kirchdoerfer …

A surrogate model for computational homogenization of elastostatics at finite strain using high‐dimensional model representation‐based neural network

V Minh Nguyen‐Thanh… - International Journal …, 2020 - Wiley Online Library
We propose a surrogate model for two‐scale computational homogenization of elastostatics
at finite strains. The macroscopic constitutive law is made numerically available via an …

Manifold embedding data-driven mechanics

B Bahmani, WC Sun - Journal of the Mechanics and Physics of Solids, 2022 - Elsevier
This article introduces a manifold embedding data-driven paradigm to solve small-and finite-
strain elasticity problems without a conventional constitutive law. This formulation follows the …

Data-driven methods for computational mechanics: A fair comparison between neural networks based and model-free approaches

M Zlatić, F Rocha, L Stainier, M Čanađija - Computer methods in applied …, 2024 - Elsevier
We present a comparison between two approaches to modelling hyperelastic material
behaviour using data. The first approach is a novel approach based on Data-driven …