Mesoscopic and multiscale modelling in materials

J Fish, GJ Wagner, S Keten - Nature materials, 2021 - nature.com
The concept of multiscale modelling has emerged over the last few decades to describe
procedures that seek to simulate continuum-scale behaviour using information gleaned from …

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 …

Polyconvex anisotropic hyperelasticity with neural networks

DK Klein, M Fernández, RJ Martin, P Neff… - Journal of the Mechanics …, 2022 - Elsevier
In the present work, two machine learning based constitutive models for finite deformations
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …

A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality

MA Bessa, R Bostanabad, Z Liu, A Hu… - Computer Methods in …, 2017 - Elsevier
A new data-driven computational framework is developed to assist in the design and
modeling of new material systems and structures. The proposed framework integrates three …

De novo composite design based on machine learning algorithm

GX Gu, CT Chen, MJ Buehler - Extreme Mechanics Letters, 2018 - Elsevier
Composites are widely used to create tunable materials to achieve superior mechanical
properties. Brittle materials fail catastrophically in the presence of cracks. Incorporating …

A deep energy method for finite deformation hyperelasticity

VM Nguyen-Thanh, X Zhuang, T Rabczuk - European Journal of Mechanics …, 2020 - Elsevier
We present a deep energy method for finite deformation hyperelasticitiy using deep neural
networks (DNNs). The method avoids entirely a discretization such as FEM. Instead, the …

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 …

A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning

K Wang, WC Sun - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
Many geological materials, such as shale, mudstone, carbonate rock, limestone and rock
salt are multi-porosity porous media in which pores of different scales may co-exist in the …

Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials

Z Liu, MA Bessa, WK Liu - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
The discovery of efficient and accurate descriptions for the macroscopic behavior of
materials with complex microstructure is an outstanding challenge in mechanics of …

A deep material network for multiscale topology learning and accelerated nonlinear modeling of heterogeneous materials

Z Liu, CT Wu, M Koishi - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
In this paper, a new data-driven multiscale material modeling method, which we refer to as
deep material network, is developed based on mechanistic homogenization theory of …