| People | Locations | Statistics |
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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Pasternak, Elena
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (15/15 displayed)
- 2023Implication of Different Types of Post-peak Behaviour in Lateral Direction on Failure of Class II Rocks in Uniaxial Compressioncitations
- 2022Possible mechanism of spallation in rock samples under uniaxial compressioncitations
- 2019Effective properties of layered auxetic hybridscitations
- 2017Behavior of Extreme Auxetic and Incompressible Elastic Materialscitations
- 2017Extracting real-crack properties from non-linear elastic behaviour of rockscitations
- 2017Transitional negative stiffness and numerical modelling of failure of particulate material
- 2017Extracting shear and normal compliances of crack-like defects from pressure dependences of elastic-wave velocitiescitations
- 2016Wave propagation in materials with negative Cosserat shear moduluscitations
- 2016Deformation analysis of reinforced-core auxetic assemblies by close-range photogrammetrycitations
- 2016Thermal stresses in hybrid materials with auxetic inclusionscitations
- 2015Negative Poisson's ratio in hollow sphere materialscitations
- 2015Hybrid materials with negative Poisson's ratio inclusionscitations
- 2007Percolation mechanism of failure of a planar assembly of interlocked osteomorphic elementscitations
- 2006Cracks of higher modes in Cosserat continuacitations
- 2004On the possibility of elastic strain localisation in a faultcitations
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article
Behavior of Extreme Auxetic and Incompressible Elastic Materials
Abstract
<p>We investigate auxetic isotropic elastic materials with the Poisson's ratio of exactly −1 and isotropic materials with the Poisson's ratio of near 0.5 (incompressible). In both cases the energy is not positive definite, which can lead to the material instability. In incompressible materials, the instability manifests itself in the emergence of non-uniform displacement distribution. Investigation of the behavior of such materials with respect to damage or crack accumulation is based on the notion that during the instantaneous process of fracture formation, the fracture acts as a negative stiffness element; after the fracture is formed, it immediately turns into a conventional fracture with usual positive stiffness. We demonstrate that the cracks formed due to tensile or combined tensile and shear fracturing of the material are capable of momentarily bringing the Poisson's ratio of nearly incompressible material to 0.5, which instantaneously turns the material into unstable. On the other hand, the formation of shear cracks leads to reduction in the Poisson's ratio bringing the material away from the point of instability. Opposite to this, cracks of all kinds do not change the Poisson's ratio in extreme auxetics (the Poisson's ratio equal to −1). Thus the auxetic materials remain stable with respect to fracture formation.</p>