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 …

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 …

Linear pantographic sheets: existence and uniqueness of weak solutions

VA Eremeyev, F Dell'Isola, C Boutin, D Steigmann - Journal of Elasticity, 2018 - Springer
The well-posedness of the boundary value problems for second gradient elasticity has been
studied under the assumption of strong ellipticity of the dependence on the second …

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 …

[图书][B] Compendium on gradient materials

A Bertram - 2023 - Springer
Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

M Spagnuolo, ME Yildizdag… - … and Mechanics of …, 2021 - journals.sagepub.com
The central theme of this study is to investigate a remarkable capability of a second-gradient
continuum model developed for pantographic structures. The model is applied to a particular …