Mechanical metamaterials: a state of the art
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 …
metamaterials. The very attractive property of having a microstructure capable of …
[HTML][HTML] Numerical forming of continuous fibre reinforced composite material: A review
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 …
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
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 …
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 …
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
Linear pantographic sheets: asymptotic micro-macro models identification
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 …
constituted by two orthogonal arrays of straight fibers interconnected by internal pivots. We …
Energy approach to brittle fracture in strain-gradient modelling
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 …
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …
Two-dimensional strain gradient damage modeling: a variational approach
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 …
continuum model accounting for irreversible damage. The failure is defined as the condition …
Linear pantographic sheets: existence and uniqueness of weak solutions
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 …
studied under the assumption of strong ellipticity of the dependence on the second …
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?
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 …
continuum model developed for pantographic structures. The model is applied to a particular …
[BOOK][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 …
include higher gradients of the kinematical variables become a blossoming field of research …