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 …

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 …

Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo …

P Phung-Van, LV Tran, AJM Ferreira… - Nonlinear …, 2017 - Springer
We present a generalized shear deformation theory in combination with isogeometric (IGA)
approach for nonlinear transient analysis of smart piezoelectric functionally graded material …

Isogeometric analysis of plane-curved beams

A Cazzani, M Malagù, E Turco - Mathematics and Mechanics …, 2016 - journals.sagepub.com
A curved beam element based on the Timoshenko model and non-uniform rational B-
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …

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 …

Two-dimensional strain gradient damage modeling: a variational approach

L Placidi, A Misra, E Barchiesi - Zeitschrift für angewandte Mathematik und …, 2018 - Springer
In this paper, we formulate a linear elastic second gradient isotropic two-dimensional
continuum model accounting for irreversible damage. The failure is defined as the condition …

[HTML][HTML] Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization

BE Abali, E Barchiesi - Continuum Mechanics and Thermodynamics, 2021 - Springer
Metamaterials exhibit materials response deviation from conventional elasticity. This
phenomenon is captured by the generalized elasticity as a result of extending the theory at …