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

Author:

Carta G.1,Brun M.2

Affiliation:

1. Department of Structural, Infrastructural and Geomatic Engineering, University of Cagliari, 09123 Cagliari, Italy

2. Department of Structural, Infrastructural and Geomatic Engineering, University of Cagliari, 09123 Cagliari, Italy; Istituto Officina dei Materiali del CNR (CNR-IOM), Unità SLACS, Cittadella Universitaria, 09042 Monserrato (CA), Italy

Abstract

The propagation of elastic 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. The effect of increasing order of approximation is also investigated. A final example of a finite structure under an impact excitation proves that the model behaves well when applied in the transient regime and that it can be considered a simple but consistent approach to build efficient algorithms for the numerical analysis of elastodynamics problems.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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