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 …

[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 …

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 …

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 …

Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis

I Giorgio, NL Rizzi, E Turco - Proceedings of the Royal …, 2017 - royalsocietypublishing.org
A nonlinear two-dimensional (2D) continuum with a latent internal structure is introduced as
a coarse model of a plane network of beams which, in turn, is assumed as a model of a …

Theory and computation of higher gradient elasticity theories based on action principles

BE Abali, WH Müller, F Dell'Isola - Archive of Applied Mechanics, 2017 - Springer
In continuum mechanics, there exists a unique theory for elasticity, which includes the first
gradient of displacement. The corresponding generalization of elasticity is referred to as …

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 …

Higher-order modeling of anisogrid composite lattice structures with complex geometries

F Tornabene, M Viscoti, R Dimitri, MA Aiello - Engineering Structures, 2021 - Elsevier
The work investigates the vibration behaviour of anisogrid composite lattice shell structures,
typically formed by a system of geodesic unidirectional composite ribs. A homogenization …

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 …