We formulate a mathematical theory of auxetic behavior based on one-parameter deformations of periodic frameworks. Our approach is purely geometric, relies on the evolution of the periodicity lattice and works in any dimension.
Borcea, Ciprian S., Streinu, Ileana
core +8 more sources
Core Spun Based Helical Auxetic Yarn: A Novel Structure for Wearable Protective Textiles
Textile auxetic materials with negative Poisson’s ratio (NPR) have potential applications in protective textile, filtration, and energy absorbance. However, cotton core-spun based auxetic textile is rarely investigated.
Bushra Mushtaq +9 more
doaj +1 more source
Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes [PDF]
We determine the Poisson ratio of self-avoiding fixed-connectivity membranes, modeled as impenetrable plaquettes, to be sigma=-0.37(6), in statistical agreement with the Poisson ratio of phantom fixed-connectivity membranes sigma=-0.32(4).
A. Cacciuto +38 more
core +3 more sources
Capability of auxetic femoral stems to reduce stress shielding after total hip arthroplasty
Background: Stress shielding (SS) is considered the main mechanical cause of femoral stem loosening after total hip arthroplasty (THA). This study introduces an auxetic lattice femoral stem structure with negative Poisson's ratio that can expand ...
Bolun Liu +7 more
doaj +1 more source
Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD): applications to the design of 3D-printed architectured materials [PDF]
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1534-9Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with ...
Auricchio, Ferdinando +4 more
core +2 more sources
Constructing an overall dynamical model for a system with changing design parameter properties [PDF]
This study considers the identification problem for a class of non-linear parameter-varying systems associated with the following scenario: the system behaviour depends on some specifically prescribed parameter properties, which are adjustable.
Hua Liang Wei +2 more
core +1 more source
A 2D metamaterial with auxetic out-of-plane behavior and non-auxetic in-plane behavior
Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies.
Davini, Cesare +3 more
core +1 more source
New examples of three-dimensional dilational materials [PDF]
Two-dimensional dilational materials, for which the only easy mode of deformation is a dilation are reviewed and connections are drawn between models previously proposed in the literature. Some models which appear to be dilational materials, but which in
Milton, Graeme Walter
core +1 more source
Auxetic two-dimensional lattice with Poisson's Ratio arbitrarily close to -1
In this paper we propose a new lattice structure having macroscopic Poisson's ratio arbitrarily close to the stability limit -1. We tested experimentally the effective Poisson's ratio of the micro-structured medium; the uniaxial test has been performed ...
Brun, M., Cabras, L.
core +1 more source
Deformation mechanisms leading to auxetic behaviour in the α-cristobalite and α-quartz structures of both silica and germania [PDF]
Analytical expressions have been developed in which the elastic behaviour of the α-quartz and α-cristobalite molecular tetrahedral frameworks of both silica and germania are modelled by rotation, or dilation or concurrent rotation and dilation of the ...
Alderson, Andrew, Evans, K E
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