[HTML][HTML] Bending and wrinkling of composite fiber preforms and prepregs. A review and new developments in the draping simulations

P Boisse, J Colmars, N Hamila, N Naouar… - Composites Part B …, 2018 - Elsevier
Bending properties play a significant role in the forming of textile composites reinforcements,
particularly in determining the shape of wrinkles. The physics related to the bending 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 …

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 …

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 …

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 …

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 …

A data-driven peridynamic continuum model for upscaling molecular dynamics

H You, Y Yu, S Silling, M D'Elia - Computer Methods in Applied Mechanics …, 2022 - Elsevier
Nonlocal models, including peridynamics, often use integral operators that embed
lengthscales in their definition. However, the integrands in these operators are difficult to …