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 …

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 …

[HTML][HTML] Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part II–Micromechanical analyses

AR Melro, PP Camanho, FMA Pires… - International Journal of …, 2013 - Elsevier
This paper presents the application of a new constitutive damage model for an epoxy matrix
on micromechanical analyses of polymer composite materials. Different representative …

Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media

W Wu, Y Yang, H Zheng, L Zhang, N Zhang - Computer Methods in Applied …, 2022 - Elsevier
In this paper, a mixed two-scale numerical manifold computational homogenization model is
presented for dynamic analysis and wave propagation of the discontinuous heterogeneous …

Unlocking the potential of second-order computational homogenisation: An overview of distinct formulations and a guide for their implementation

IA Rodrigues Lopes, FM Andrade Pires - Archives of Computational …, 2022 - Springer
Multi-scale models enriched with the second gradient of the displacement field and based
on the concept of representative volume element (RVE) are examined and discussed in …

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 …

Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks

VP Nguyen, O Lloberas-Valls, M Stroeven… - Computer Methods in …, 2011 - Elsevier
The existence of a representative volume element (RVE) for a class of quasi-brittle materials
having a random heterogeneous microstructure in tensile, shear and mixed mode loading is …

An efficient monolithic multiscale numerical manifold model for fully coupled nonlinear saturated porous media

Y Yang, W Wu, H Zheng, S Wang, L Yang - Computer Methods in Applied …, 2024 - Elsevier
This paper presents an efficient monolithic computational homogenization model for
transient nonlinear hydro-mechanical analysis within the framework of Numerical Manifold …

Multiscale failure modeling of concrete: Micromechanical modeling, discontinuous homogenization and parallel computations

VP Nguyen, M Stroeven, LJ Sluys - Computer Methods in Applied …, 2012 - Elsevier
A multiscale failure model for concrete materials is proposed. At the microscale, the
mechanical behavior of hardening cement paste is studied by a numerical framework that …

[HTML][HTML] On-the-fly construction of surrogate constitutive models for concurrent multiscale mechanical analysis through probabilistic machine learning

IBCM Rocha, P Kerfriden, FP van Der Meer - Journal of Computational …, 2021 - Elsevier
Concurrent multiscale finite element analysis (FE 2) is a powerful approach for high-fidelity
modeling of materials for which a suitable macroscopic constitutive model is not available …