Elastic stability analysis of auxetic columns using third‐order shear deformation theory

Lim, Teik‐Cheng

doi:10.1002/pssb.201451637

Cited by 7 publications

(5 citation statements)

References 59 publications

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“…They have been called auxetics (). Recently, many models with auxetic properties were developed and studied . Such an interest was motivated by possible practical applications of such materials .…”

Section: Introductionmentioning

confidence: 99%

Influence of nanochannels on Poisson's ratio of degenerate crystal of hard dimers

Narojczyk

Kowalik

Wojciechowski

2016

Physica Status Solidi (b)

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Abstractauthoren Hard‐body models reproduce many fundamental features of real physical systems and are convenient tools to study the role of molecular shape and its influence on macroscopic, for example, elastic, properties of condensed matter. In this article, a degenerate (aperiodic) crystal of hard dimers with arrays of nanochannels introduced in the direction false[001false] is studied by Monte Carlo simulations. The nanochannels are filled by hard spheres of diameter σ′ which can be different from the diameter σ of spheres forming dimers. It is shown that, by modifying the ratio σ′/σ, one can qualitatively modify the Poisson's ratio of the system. In particular, one can obtain partial auxetics (i.e., systems with negative Poisson's ratio in some directions) with auxetic directions false[110false] or false[111false]. The applied method is convenient to determine Poisson's ratio in all directions for crystals of arbitrary symmetry. Explicit formulae for Poisson's ratio in main directions of the studied structures are given. Structure of hard dimers (green atoms) with an array of nanochannels (red atoms). Diameters of dimer atoms have been intentionally decreased to reveal underlying molecular structure (black segments) and channel orientation.

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Section: Introductionmentioning

confidence: 99%

Influence of nanochannels on Poisson's ratio of degenerate crystal of hard dimers

Narojczyk

Kowalik

Wojciechowski

2016

Physica Status Solidi (b)

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“…The study of auxetic materials is of interest due to their unique properties in comparison to conventional ones , especially for auxetic plates under both static and dynamic conditions . In this paper, we investigate the wave velocity of low‐amplitude, i.e., harmonic, longitudinal waves in a plate made of an isotropic ideally elastic material under a static uniaxial stress applied so that its axis is parallel to the propagation vector.…”

Section: Introductionmentioning

confidence: 99%

Effect of longitudinal stress on wave propagation in width‐constrained elastic plates with arbitrary Poisson's ratio

Sobieszczyk

Majka

Kuźma

et al. 2015

Physica Status Solidi (b)

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The Helmholtz wave equation is derived for longitudinal waves in an elastic plate of arbitrary thickness placed in a rigid gantry ensuring a constant width. The whole range of Poisson's ratio allowed for isotropic elastic media constrained in this way is considered. The wave speed is shown to increase under a constant longitudinal compressive stress applied to the front face of the plate and to decrease when the applied stress is tensile. The effect is most pronounced for zero Poisson's ratio and it vanishes for the limiting permitted values, i.e., 1 or À1. The reported results also describe the combined effect of longitudinal stress and Poisson's ratio on the wave speed. These findings provide guidelines for designing devices aimed at a passive control of propagation of longitudinal waves in thin-walled structures.

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“…Humer also noted the possibility that the value of the Poisson ratio could be negative. Such solids, which came to be known as auxetic, have been discussed by Love [9] in 1944 and more recently by Lakes [10] for various foam structures and more recently by Lim [11,12] in buckling applications.…”

Section: One-dimensional Solutionsmentioning

confidence: 99%

Continuum-based stability of anisotropic and auxetic beams

Heyliger

2015

Mechanics Research Communications

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Elastic stability analysis of auxetic columns using third‐order shear deformation theory

Cited by 7 publications

References 59 publications

Influence of nanochannels on Poisson's ratio of degenerate crystal of hard dimers

Influence of nanochannels on Poisson's ratio of degenerate crystal of hard dimers

Effect of longitudinal stress on wave propagation in width‐constrained elastic plates with arbitrary Poisson's ratio

Continuum-based stability of anisotropic and auxetic beams

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