In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials

I Giorgio, M Spagnuolo, U Andreaus… - … and Mechanics of …, 2021 - journals.sagepub.com
In this review paper, some relevant models, algorithms, and approaches conceived to
describe the bone tissue mechanics and the remodeling process are showcased …

[HTML][HTML] Numerical forming of continuous fibre reinforced composite material: A review

P Bussetta, N Correia - Composites Part A: Applied Science and …, 2018 - Elsevier
This article presents a survey of the literature about the numerical forming of continuous fibre
reinforced composite material. This review shows that in spite of some models are defined …

Pantographic metamaterials: an example of mathematically driven design and of its technological challenges

F Dell'Isola, P Seppecher, JJ Alibert… - Continuum Mechanics …, 2019 - Springer
In this paper, we account for the research efforts that have been started, for some among us,
already since 2003, and aimed to the design of a class of exotic architectured, optimized …

A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results

L Placidi, E Barchiesi, A Misra - Mathematics and Mechanics of Complex …, 2018 - msp.org
The global response of experimental uniaxial tests cannot be homogeneous, because of the
unavoidable presence of localized deformations, which is always preferential from an …

Strain gradient and generalized continua obtained by homogenizing frame lattices

H Abdoul-Anziz, P Seppecher - Mathematics and mechanics of complex …, 2018 - msp.org
We determine the effective behavior of periodic structures made of welded elastic bars.
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …

Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

F Dell'Isola, AD Corte, I Giorgio - … and Mechanics of Solids, 2017 - journals.sagepub.com
Since the first studies dedicated to the mechanics of deformable bodies (by Euler,
D'Alembert, Lagrange) the principle of virtual work (or virtual velocities) has been used to …

Linear pantographic sheets: asymptotic micro-macro models identification

C Boutin, I Giorgio, L Placidi - Mathematics and Mechanics of Complex …, 2017 - msp.org
In this paper we consider linear pantographic sheets, which in their natural configuration are
constituted by two orthogonal arrays of straight fibers interconnected by internal pivots. We …

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 …

Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model

L Placidi, U Andreaus, I Giorgio - Journal of Engineering Mathematics, 2017 - Springer
A linear elastic second gradient orthotropic two-dimensional solid that is invariant under 90^
∘ 90∘ rotation and for mirror transformation is considered. Such anisotropy is the most …

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 …