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Mechanical metamaterials: a state of the art:

TLDR
A review of the state of the art in the study of mechanical metamaterials is given in this article, where the very attractive property of having a microstructure capable of determining exotic and specific properties is discussed.
Abstract
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 determining exotic and specifica...

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Citations
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Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis

TL;DR: In this paper, a homogenization approach based on asymptotic analysis establishes a connection between these different characteristics at micro- and macro-scales, and guarantees that the additional parameters vanish if the material is purely homogeneous; in other words, it is fully compatible with conventional homogenisation schemes based on spatial averaging techniques.
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Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation

TL;DR: Bi-pantographic fabrics are composed of two families of pantographic beams and correspond to a class of architectured materials that are described in plane as second-gradient 2D continua.
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Increase of quasi-zero stiffness region using two pairs of oblique springs

TL;DR: Wang et al. as mentioned in this paper proposed a limb-like quasi-zero stiffness (QZS) nonlinear isolation system with two pairs of oblique springs to enlarge the QZS range and thus improve its isolation performance.
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Continuum theory for mechanical metamaterials with a cubic lattice substructure

TL;DR: In this paper, a three-dimensional continuum theory for fibrous mechanical metamaterials is proposed, in which the fibers are assumed to be spatial Kirchhoff rods whose mechanical response is controlled by a deformation field and a rotation field.
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Pantographic beam: a complete second gradient 1D-continuum in plane

TL;DR: In this article, the deformation energy of a planar 1D-continua is derived by applying a heuristic homogenization procedure to a family of slender discrete pantographic structures constituted by extensional and rotational springs.
References
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Journal ArticleDOI

Foam structures with a negative poisson's ratio

TL;DR: A novel foam structure is presented, which exhibits a negative Poisson's ratio, and such a material expands laterally when stretched, in contrast to ordinary materials.
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Elastic materials with couple-stresses

TL;DR: HAL as discussed by the authors is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Journal ArticleDOI

Revisiting brittle fracture as an energy minimization problem

TL;DR: In this paper, a variational model of quasistatic crack evolution is proposed, which frees itself of the usual constraints of that theory : a preexisting crack and a well-defined crack path.
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Poisson's ratio and modern materials

TL;DR: On the bicentenary of the publication of Poisson's Traité de Mécanique, the continuing relevance of Poissons's ratio in the understanding of the mechanical characteristics of modern materials is reviewed.
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