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Plane waves in nonlocal micropolar elasticity. (English) Zbl 0564.73029
Dispersion relations are obtained for the transverse plane waves in linear, nonlocal micropolar elastic solids. By equating the frequency of the transverse acoustical (TA) branch at the end of the Brillouin zone, the nonlocal attenuation function is determined. The resulting (TA) curve for the frequency versus wave number \(\omega\) (k) fits well with the result known from the Born-Kármán theory of lattice dynamics, in the entire Brillouin zone. By using experimental values of \(\omega\) at the origin and the end of the Brillouin zone for Mg crystals, the micropolar elastic moduli are determined.

74J20 Wave scattering in solid mechanics
82D25 Statistical mechanics of crystals
74A35 Polar materials
74J10 Bulk waves in solid mechanics
74A60 Micromechanical theories
74M25 Micromechanics of solids
Full Text: DOI
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