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4 April 2008 Wave dispersion in a cellular composite with modulated microstructure
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In this paper we report a modeling technique and analysis of wave dispersion in a cellular composite laminate with spatially modulated microstructure, which can be modeled by parameterization and homogenization in an appropriate length scale. Higher order beam theory is applied and the system of wave equations are derived. Homogenization of these equations are carried out in the scale of wavelength and frequency of the individual wave modes. Smaller scale scattering below the order of cell size are filtered out in the present approach. The longitudinal dispersion relations for different values of a modulation parameter are analyzed which indicates the existence of stop and pass band patterns. Dispersion relations for flexural-shear case are also analyzed which indicates a tendency toward forming the stop and pass bands for increasing values of a shear stiffness modulation parameter. The effect the phase angle (θ) of the incident wave indicates the existence more number of alternative stop bands and pass bands for θ = 45°.
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Vijay Kumar and D. Roy Mahapatra "Wave dispersion in a cellular composite with modulated microstructure", Proc. SPIE 6929, Behavior and Mechanics of Multifunctional and Composite Materials 2008, 69290Z (4 April 2008);

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