Lamb waves in discrete homogeneous and heterogeneous systems: Dispersion properties, asymptotics and non-symmetric wave propagation

Carta, G.; Nieves, M.J.; Brun, M.

doi:10.1016/j.euromechsol.2022.104695

All Outputs (4)

Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions. (2022)
Journal Article
Nieves. (2022). Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, -. https://doi.org/10.1098/rsta.2021.0392

We present formal asymptotic approximations of fields representing the in-plane dynamic response of elastic solids containing clusters of closely interacting small rigid inclusions. For finite densely perforated bodies, the asymptotic scheme is devel... Read More about Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions..

Dynamic fracture regimes for initially prestressed elastic chains. (2022)
Journal Article
Nieves. (2022). Dynamic fracture regimes for initially prestressed elastic chains. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 20210395 - ?. https://doi.org/10.1098/rsta.2021.0395

We study the propagation of a bridge crack in an anisotropic multi-scale system involving two discrete elastic chains that are interconnected by links and possess periodically distributed inertia. The bridge crack is represented by the destruction of... Read More about Dynamic fracture regimes for initially prestressed elastic chains..

Meso-scale method of asymptotic analysis of elastic vibrations in periodic and non-periodic multi-structures (2022)
Journal Article
Nieves, M. J., & Movchan, A. B. (2022). Meso-scale method of asymptotic analysis of elastic vibrations in periodic and non-periodic multi-structures. Quarterly Journal of Mechanics and Applied Mathematics, 75(3), 171 - 214. https://doi.org/10.1093/qjmam/hbac011

<jats:title>Summary</jats:title> <jats:p>The method of meso-scale asymptotic approximations has proved to be very effective for the analysis of models of solids containing large clusters of defects, such as small inclusions or voids. Here, we present... Read More about Meso-scale method of asymptotic analysis of elastic vibrations in periodic and non-periodic multi-structures.

Lamb waves in discrete homogeneous and heterogeneous systems: Dispersion properties, asymptotics and non-symmetric wave propagation (2022)
Journal Article
Carta, G., Nieves, M., & Brun, M. (2023). Lamb waves in discrete homogeneous and heterogeneous systems: Dispersion properties, asymptotics and non-symmetric wave propagation. European Journal of Mechanics - A/Solids, 100, Article 104695. https://doi.org/10.1016/j.euromechsol.2022.104695