Mechanical metamaterials: a state of the art

E Barchiesi, M Spagnuolo… - … and Mechanics of Solids, 2019 - journals.sagepub.com
In this paper, we give a review of the state of the art in the study of mechanical
metamaterials. The very attractive property of having a microstructure capable of …

A review of inverse problems for generalized elastic media: formulations, experiments, synthesis

R Fedele, L Placidi, F Fabbrocino - Continuum Mechanics and …, 2024 - Springer
Starting from the seminal works of Toupin, Mindlin and Germain, a wide class of generalized
elastic models have been proposed via the principle of virtual work, by postulating …

Energy approach to brittle fracture in strain-gradient modelling

L Placidi, E Barchiesi - Proceedings of the Royal Society …, 2018 - royalsocietypublishing.org
In this paper, we exploit some results in the theory of irreversible phenomena to address the
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

D Timofeev, E Barchiesi, A Misra… - … and Mechanics of …, 2021 - journals.sagepub.com
Mechanical behavior of materials with granular microstructures is confounded by unique
features of their grain-scale mechano-morphology, such as the tension–compression …

[HTML][HTML] Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum

H Yang, BE Abali, WH Müller, S Barboura… - International Journal of …, 2022 - Elsevier
Strain gradient theory is an accurate model for capturing the size effect and localization
phenomena. However, the challenge in identification of corresponding constitutive …

Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis

H Yang, BE Abali, D Timofeev, WH Müller - Continuum mechanics and …, 2020 - Springer
By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

Micromechanics-based elasto-plastic–damage energy formulation for strain gradient solids with granular microstructure

L Placidi, E Barchiesi, A Misra, D Timofeev - Continuum Mechanics and …, 2021 - Springer
This paper is devoted to the development of a continuum theory for materials having
granular microstructure and accounting for some dissipative phenomena like damage and …

Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation

E Barchiesi, SR Eugster… - … and Mechanics of …, 2020 - journals.sagepub.com
Bi-pantographic fabrics are composed of two families of pantographic beams and
correspond to a class of architectured materials that are described in plane as second …

Equilibria determination of elastic articulated duoskelion beams in 2D via a Riks-type algorithm

E Barchiesi, F Dell'Isola, AM Bersani, E Turco - International Journal of Non …, 2021 - Elsevier
The overall behavior of an articulated beam structure constituted by elements arranged
according to a specific chirality is studied. The structure as a whole, due to its slenderness …

Granular micromechanics‐based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations

E Barchiesi, A Misra, L Placidi… - ZAMM‐Journal of Applied …, 2021 - Wiley Online Library
Although the primacy and utility of higher‐gradient theories are being increasingly accepted,
values of second gradient elastic parameters are not widely available due to lack of …