Longitudinal Pochhammer — Chree Waves in Mild Auxetics and Non-Auxetics
| Autor: | Sergey V. Kuznetsov, Alla V. Ilyashenko |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Auxetics Applied Mathematics Mechanical Engineering Mathematical analysis Isotropy 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Polarization (waves) Poisson distribution Rod symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering Dispersion relation symbols Spectral analysis 0210 nano-technology Axial symmetry |
| Zdroj: | Journal of Mechanics. 35:327-334 |
| ISSN: | 1811-8216 1727-7191 |
| DOI: | 10.1017/jmech.2018.13 |
| Popis: | The exact solutions of Pochhammer — Chree equation for propagating harmonic waves in isotropic elastic cylindrical rods, are analyzed. Spectral analysis of the matrix dispersion equation for the longitudinal axially symmetric modes is performed. Analytical expressions for displacement fields are obtained. Variation of the wave polarization due to variation of Poisson’s ratio for mild auxetics (Poisson’s ratio is greater than -0.5) is analyzed and compared with the non-auxetics. It is observed that polarization of the waves for both considered cases (auxetics and non-auxetics) exhibits abnormal behavior in the vicinity of the bulk shear wave speed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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