Pressure vessel problem for chiral elastic tubes

Ieşan, D.

doi:10.1016/j.ijengsci.2011.01.003

Cited by 6 publications

(2 citation statements)

References 16 publications

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“…Auxetic materials have been initially observed in ferromagnetic films [1], face centered cubic crystals [2], hard cyclic hexamers [3,4], and foams [5][6][7][8]. Due to their counter-intuitive properties, auxetic materials have been investigated as smart materials for potential applications including cushion materials [9], stents [10,11], pressure vessels [12], sensors [13], morphing airfoils [14,15], smart folding structures [16], smart metamaterials [17], aeroengine fan blades [18], and vibration dampers [19], to name a few. Arising from their unique properties, the mechanical performance of auxetic solids has been investigated [20][21][22][23][24][25][26][27][28][29][30][31][32][33], including their elastic stabilities [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Buckling and Vibration of Circular Auxetic Plates

Lim

2014

Journal of Engineering Materials and Technology

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This paper evaluates the elastic stability and vibration characteristics of circuiar piates made from auxetic materials. By solving the general solutions for buckling and vibration of circular piates under various boundary conditions, the critical buckling ioad factors and fundamental frequencies of circular plates, within the scope of the first axisymmetric modes, were obtained for the entire range of Poisson's ratio for isotropic solids, i.e., from -1 to 0.5. Results for elastic stability reveal that as the Poisson's ratio of the plate becomes more negative, the criticai bucking ioad gradually reduces. In the case of vibration, the decrease in Poisson's ratio not only decreases the fundamental frequency, but the decrease becomes very rapid as the Poisson's ratio approaches its lower limit. For both buckling and vibration, the plate's Poisson's ratio has no effect if the edge is fully clamped. The results obtained herein suggest that auxetic materials can be employed for attaining static and dynamic properties which are not common in plates made from conventional materials. Based on the exact results, empiricai models were generated for design purposes so that both the critical buckling load factors and the frequency parameters can be conveniently obtained without calculating the Bessel functions.

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Section: Introductionmentioning

confidence: 99%

Buckling and Vibration of Circular Auxetic Plates

Lim

2014

Journal of Engineering Materials and Technology

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“…Auxetic solids and structures have also been investigated for its suitability as aircraft structures [26,27] such as aeroengine fan blades [28], as well as other load bearing structures including pressure vessels [29,30] high stability structures [31], and shock absorbers [32][33][34]. Auxetic systems have also been investigated for their performance as highly tunable molecular sieves or filters [35][36][37][38] and textiles and/or yarns [39][40][41][42][43][44][45][46], piezoelectric devices [47] and shape memory foams [48].…”

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confidence: 99%

Thermal Stresses in Thin Auxetic Plates

Lim

2013

Journal of Thermal Stresses

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This article investigates the effect of auxeticity on the thermal stresses of isotropic plates. The thermal stress is non-dimensionalized against the coefficient of thermal expansion, the change in temperature and at least one of the moduli so as to express the dimensionless thermal stresses solely in terms of Poisson's ratio of the plate material. −1 and 0.303. These results suggest that, under most circumstances, the replacement of conventional plate materials with auxetic solids is useful for reducing thermal stresses therein. The use of auxetic materials, therefore, provides an additional choice for the reduction of thermal stresses in plates other than selecting materials of lower modulus and low coefficient of thermal expansion. Results show that increasing auxeticity leads to mild and significant drop in the thermal stresses under the conditions of constant Young's modulus and constant shear modulus, respectively. However, increasing auxeticity causes increase in the thermal stress under the condition of constant bulk modulus. It is also shown that increasing auxeticity under the condition of constant product of all the three moduli reduces the thermal stress if Poisson's ratio falls within a wide range of

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