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 …

Synthesis of fibrous complex structures: designing microstructure to deliver targeted macroscale response

F Dell'Isola, D Steigmann… - Applied …, 2015 - asmedigitalcollection.asme.org
In Mechanics, material properties are most often regarded as being given, and based on
this, many technical solutions are usually conceived and constructed. However, nowadays …

Advances in pantographic structures: design, manufacturing, models, experiments and image analyses

F dell'Isola, P Seppecher, M Spagnuolo… - Continuum Mechanics …, 2019 - Springer
In the last decade, the exotic properties of pantographic metamaterials have been
investigated and different mathematical models (both discrete or continuous) have been …

Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium

F dell'Isola, I Giorgio… - Proceedings of the …, 2016 - royalsocietypublishing.org
The aim of this paper is to find a computationally efficient and predictive model for the class
of systems that we call 'pantographic structures'. The interest in these materials was …

Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models

E Turco, F Dell'Isola, A Cazzani, NL Rizzi - Zeitschrift für angewandte …, 2016 - Springer
Hencky (Über die angenäherte Lösung von Stabilitätsproblemen im Raum mittels der
elastischen Gelenkkette. Ph. D. thesis, Engelmann, 1921) proposed a discrete model for …

A unifying perspective: the relaxed linear micromorphic continuum

P Neff, ID Ghiba, A Madeo, L Placidi, G Rosi - Continuum Mechanics and …, 2014 - Springer
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy
force stresses and curvature contribution depending only on the micro-dislocation tensor …

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 …

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 …

An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff's law

I Giorgio, F Dell'Isola, U Andreaus, A Misra - Biomechanics and Modeling …, 2023 - Springer
We propose a variational approach that employs a generalized principle of virtual work to
estimate both the mechanical response and the changes in living bone tissue during the …

Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence

F Dell'Isola, T Lekszycki, M Pawlikowski… - … Mathematik und Physik, 2015 - Springer
In this paper, we study a metamaterial constructed with an isotropic material organized
following a geometric structure which we call pantographic lattice. This relatively complex …