Bulky auxeticity, tensile buckling and deck-of-cards kinematics emerging from structured continua
| Autor: | Massimiliano Fraldi, A. Cutolo, Angelo Rosario Carotenuto, David R. Owen, Stefania Palumbo, Luca Deseri |
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| Přispěvatelé: | Palumbo, S., Carotenuto, A. R., Cutolo, A., Owen, D. R., Deseri, L., Fraldi, M. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Materials science
Auxetics General Mathematics General Engineering General Physics and Astronomy Metamaterial 02 engineering and technology Kinematics 021001 nanoscience & nanotechnology metamaterial 020303 mechanical engineering & transports Standard 52-card deck structured deformation 0203 mechanical engineering Buckling Homogeneous tensile buckling Ultimate tensile strength Composite material 0210 nano-technology Material properties auxetic material structured continua |
| Popis: | Complex mechanical behaviours are generally met in macroscopically homogeneous media as effects of inelastic responses or as results of unconventional material properties, which are postulated or due to structural systems at the meso/micro-scale. Examples are strain localization due to plasticity or damage and metamaterials exhibiting negative Poisson’s ratios resulting from special porous, eventually buckling, sub-structures. In this work, through ad hoc conceived mechanical paradigms, we show that several non-standard behaviours can be obtained simultaneously by accounting for kinematical discontinuities, without invoking inelastic laws or initial voids. By allowing mutual sliding among rigid tesserae connected by pre-stressed hyperelastic links, we find several unusual kinematics such as localized shear modes and tensile buckling-induced instabilities, leading to deck-of-cards deformations—uncapturable with classical continuum models—and unprecedented ‘bulky’ auxeticity emerging from a densely packed, geometrically symmetrical ensemble of discrete units that deform in a chiral way. Finally, after providing some analytical solutions and inequalities of mechanical interest, we pass to the limit of an infinite number of tesserae of infinitesimal size, thus transiting from discrete to continuum, without the need to introduce characteristic lengths. In the light of the theory of structured deformations, this result demonstrates that the proposed architectured material is nothing else than the first biaxial paradigm of structured continuum —a body that projects, at the macroscopic scale, geometrical changes and disarrangements occurring at the level of its sub-macroscopic elements. |
| Databáze: | OpenAIRE |
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