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 …
midst of innovation of many disruptive technologies. Today's electronics, space, medical …
A review of the FE2 method for composites
Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …
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 …
recurrent neural network (RNN) surrogate for the history-dependent micro level response …
A computational library for multiscale modeling of material failure
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 …
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 …
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
Service lifetimes of polymers and polymer composites are impacted by environmental
ageing. The validation of new composites and their environmental durability involves costly …
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
Crack nucleation and propagation in concrete is significantly affected by mesoscopic
heterogeneities, resulting in distinct failure modes and mechanical behavior. In this work, the …
heterogeneities, resulting in distinct failure modes and mechanical behavior. In this work, the …
Modelling hydraulic fractures in porous media using flow cohesive interface elements
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 …
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
This paper reviews the recent developments in the field of multiscale modelling of
heterogeneous materials with emphasis on homogenization methods and strain localization …
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 …
the concept of Representative Volume Element. The entire theory lies on three fundamental …