A Dispersive Homogenization Model Based on Lattice Approximation for the Prediction of Wave Motion in Laminates

CARTA, GIORGIO;BRUN, MICHELE

2012-01-01

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Abstract

The propagation of waves in a periodic laminate is considered. The stratified medium is modeled as a homogenized material where the stress depends on the strain and additional higher order strain gradient terms. The homogenization scheme is based on a lattice model approximation tuned on the dispersive properties of the real laminate. The long-wave asymptotic approximation of the model shows that, despite the simplicity of the parameters identification, the proposed approach agrees well with the exact solution in a wide range of elastic impedance contrasts, also in comparison with different approximations. In addition, the effect of increasing order of approximation is investigated. A final example of a finite structure under an impact excitation proves the consistency of the model in the transient regime.