Computational Modelling of Auxetics

Stręk, Tomasz; Maruszewski, B.; Poźniak, Artur A.; Wojciechowski, Krzysztof W.

doi:10.5772/9795

Cited by 8 publications

(12 citation statements)

References 19 publications

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“…The papers by Strek et al 21, 22 and Pozniak et al 23 describe computer simulations related to the mechanical behaviour of a thick and thin elastic plate, respectively. The plate, made of isotropic material, has been clamped at two lateral surfaces, loaded at the front and back walls and left free at the upper and lower walls.…”

Section: Introductionmentioning

confidence: 99%

Effective mechanical properties of concentric cylindrical composites with auxetic phase

Stręk

Jopek²

2012

Physica Status Solidi (b)

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Materials with unusual mechanical properties can be potentially used as matrices to create high‐performance lightweight composites. The appearance of materials with negative Poisson's ratio (auxetics), has led to the evaluation of auxetic composites for possible engineering applications. Because the experimental evaluation of composites with specific properties is expensive and time consuming, computational modelling and simulation provide efficient alternatives to predict the parameters of the composites. In this paper a finite element method was used to find the engineering constants (Young's modulus and Poisson's ratio) of auxetic composites consisting of concentric cylindrical inclusions made of combinations of auxetic and classic (non‐auxetic) materials. It has been observed that not only the mechanical properties of the different composite phases influence the effective mechanical properties of the whole composite, but also the location of the same material phases do matter.

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Section: Introductionmentioning

confidence: 99%

Effective mechanical properties of concentric cylindrical composites with auxetic phase

Stręk

Jopek²

2012

Physica Status Solidi (b)

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“…Then, from the propagation condition follows that ν does not depend on γ , too (it is convenient to consider this condition in the form (32)). There is no dispersion comparing to in the classical case [Stręk et al 2010].…”

Section: Setting Up the Equationsmentioning

confidence: 97%

Rayleigh-type wave propagation in an auxetic dielectric

Drzewiecki

2012

J. Mech. Mater. Struct.

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“…Finally, in the case of zero body forces, the Navier-Lamé equations reduce to [Nowacki 1970;Sadd 2005]…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Stress and displacement analysis of an auxetic quarter-plane under a concentrated force

Fritzkowski

Kamiński

2016

J. Mech. Mater. Struct.

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The problem of a quarter-space under distributed normal and shear loads is considered. A mathematical model is formulated for the plane strain state. Theoretical background of the Mellin integral transform and calculation of residues is outlined. An analytical procedure involving the Mellin transform is presented for the general reduced problem of a quarter-plane. Numerical computation of residues allows for evaluation of the inverse transforms for the displacements and stresses. Simulation results are obtained for a special load case: a concentrated force. The deformation of the loaded boundary is analyzed for various values of Poisson's ratio. It turns out that auxetics exhibit locally negative stiffness, which leads to an anomalous behavior of the system. A simple explanation of the unusual deformation mechanism is proposed. The semianalytical solutions are compared with the results obtained by means of the finite element method.

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Computational Modelling of Auxetics

Cited by 8 publications

References 19 publications

Effective mechanical properties of concentric cylindrical composites with auxetic phase

Effective mechanical properties of concentric cylindrical composites with auxetic phase

Rayleigh-type wave propagation in an auxetic dielectric

Stress and displacement analysis of an auxetic quarter-plane under a concentrated force

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