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 …

A review of the FE2 method for composites

K Raju, TE Tay, VBC Tan - Multiscale and Multidisciplinary Modeling …, 2021 - Springer
Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …

Accelerating multiscale finite element simulations of history-dependent materials using a recurrent neural network

F Ghavamian, A Simone - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
FE 2 multiscale simulations of history-dependent materials are accelerated by means of a
recurrent neural network (RNN) surrogate for the history-dependent micro level response …

A computational library for multiscale modeling of material failure

H Talebi, M Silani, SPA Bordas, P Kerfriden… - Computational …, 2014 - Springer
We present an open-source software framework called PERMIX for multiscale modeling and
simulation of fracture in solids. The framework is an object oriented open-source effort …

Homogenization methods and multiscale modeling: nonlinear problems

MGD Geers, VG Kouznetsova… - Encyclopedia of …, 2017 - Wiley Online Library
This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …

Modelling of environmental ageing of polymers and polymer composites—modular and multiscale methods

AE Krauklis, CW Karl, IBCM Rocha, J Burlakovs… - Polymers, 2022 - mdpi.com
Service lifetimes of polymers and polymer composites are impacted by environmental
ageing. The validation of new composites and their environmental durability involves costly …

X-ray computed tomography images based phase-field modeling of mesoscopic failure in concrete

ZJ Yang, BB Li, JY Wu - Engineering Fracture Mechanics, 2019 - Elsevier
Crack nucleation and propagation in concrete is significantly affected by mesoscopic
heterogeneities, resulting in distinct failure modes and mechanical behavior. In this work, the …

Modelling hydraulic fractures in porous media using flow cohesive interface elements

VP Nguyen, H Lian, T Rabczuk, S Bordas - Engineering Geology, 2017 - Elsevier
This paper revisits the problem of computational modelling of a fluid-driven fracture
propagating in a permeable porous medium using zero-thickness flow cohesive interface …

Multiscale continuous and discontinuous modeling of heterogeneous materials: a review on recent developments

VP Nguyen, M Stroeven, LJ Sluys - Journal of Multiscale Modelling, 2011 - World Scientific
This paper reviews the recent developments in the field of multiscale modelling of
heterogeneous materials with emphasis on homogenization methods and strain localization …

Variational foundations and generalized unified theory of RVE-based multiscale models

PJ Blanco, PJ Sánchez, EA de Souza Neto… - … Methods in Engineering, 2016 - Springer
A unified variational theory is proposed for a general class of multiscale models based on
the concept of Representative Volume Element. The entire theory lies on three fundamental …