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 …

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 …

Scale-dependent homogenization of random composites as micropolar continua

P Trovalusci, M Ostoja-Starzewski, ML De Bellis… - European Journal of …, 2015 - Elsevier
A multitude of composite materials ranging from polycrystals to rocks, concrete, and masonry
overwhelmingly display random morphologies. While it is known that a Cosserat …

[HTML][HTML] Multifield asymptotic homogenization for periodic materials in non-standard thermoelasticity

R Del Toro, ML De Bellis, M Vasta… - International Journal of …, 2024 - Elsevier
This article presents a multifield asymptotic homogenization scheme for the analysis of
Bloch wave propagation in non-standard thermoelastic periodic materials, leveraging on the …

Derivation of microstructured continua from lattice systems via principle of virtual works: the case of masonry-like materials as micropolar, second gradient and …

P Trovalusci, A Pau - Acta Mechanica, 2014 - Springer
The description of the mechanical behaviour of brick/block masonry through equivalent
continua is presented here as a paradigmatic example of the problem of gross modelling of …

A multiscale/multidomain model for the failure analysis of masonry walls: a validation with a combined FEM/DEM approach

E Reccia, L Leonetti, P Trovalusci… - International Journal for …, 2018 - dl.begellhouse.com
An accurate and fast failure simulation for masonry walls is still an active field of research,
due to its fundamental role in predicting the overall response of masonry structures under …

Mechanical behavior of anisotropic composite materials as micropolar continua

N Fantuzzi, P Trovalusci, S Dharasura - Frontiers in Materials, 2019 - frontiersin.org
The macroscopic behavior of materials with anisotropic microstructure described as
micropolar continua is investigated in the present work. Micropolar continua are …

Molecular approaches for multifield continua: origins and current developments

P Trovalusci - Multiscale modeling of complex materials …, 2014 - Springer
The mechanical behaviour of complex materials, characterised at finer scales by the
presence of heterogeneities of significant size and texture, strongly depends on their …

Second‐order computational homogenization of heterogeneous materials with periodic microstructure

A Bacigalupo, L Gambarotta - ZAMM‐Journal of Applied …, 2010 - Wiley Online Library
A procedure for second‐order computational homogenization of heterogeneous materials is
derived from the unit cell homogenization, in which an appropriate representation of the …