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Stress Induced Phononic Properties and Surface Waves in 2D Model of Auxetic Crystal

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Trzupek D., Twaróg D., Zieliński P.
Acta Physica Polonica A
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2009
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vol. 115
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issue 2
576-578
EN
Elastic stiffness parameters are determined in a 2D model system of rigid rods interacting by harmonic force constants. Any positive ("normal" crystal) or negative (auxetic crystal) Poisson ratio can be obtained in this model as a function of the external stress. Conditions for opening an absolute stop band (phononic crystal) and for various kinds of surface waves are obtained.
2
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Surface Dynamics and Phononic Properties of 2D Field Tunable Auxetic Crystal

100%
Twaróg D., Trzupek D., Zieliński P.
Acta Physica Polonica A
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2009
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vol. 115
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issue 2
579-582
EN
The lattice in-plane dynamics is studied as a function of external field in a model of auxetic crystal consisting of rigid polar rods and of elastic springs. The phase speed of the transverse acoustic wave propagating parallel to the polar rods is shown to be higher than the speed of the longitudinal wave at strong fields. An absolute stop band for the lattice waves opens in the whole Brillouin zone with increasing field. The surface waves and resonances at a surface parallel to the rods are studied. Infinitely narrow resonances called exceptional surface waves are found within bulk bands at certain specific values of the parameters characterizing the surface. Generally, the surface layer should be significantly heavier and stiffer than the substrate for the phenomenon to occur.
3
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On Surface Waves in Materials with Negative Poisson Ratio

100%
Zieliński P., Twaróg D., Trzupek D.
Acta Physica Polonica A
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2009
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vol. 115
|
issue 2
513-515
EN
True surface wave, i.e. a resonance with infinite lifetime is found within a bulk band in a model of thin planar layer coating a continuous auxetic substrate. Conditions for the existence of this wave are given.
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