17 April 2013 Multiscale analysis of wave-damage interaction in two and three dimensional isotropic plates
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Abstract
In this paper a geometric multiscale finite element method (GMsFEM), recently developed by the authors, is applied to the analysis of wave propagation in damaged plates. The proposed methodology is based on the formulation of both two- and three-dimensional multi-node (or multiscale) elements capable of describing small defects without resorting to excessive mesh refinements. Each multiscale element is equipped with a local mesh that is used to compute the interpolation functions of the element itself and to resolve the local fluctuations of the solution near the defect. The computed shape functions guarantee the continuity of the solution between multiscale and conventional elements. This allows using an undistorted discretization in the uniform portion of the domain while limiting the use of multiscale elements only in the vicinity of the defects. In this article the method is applied to evaluate the reflection coefficients due to cracks of different size and orientation in an otherwise homogeneous plate. Also, numerical simulations of wave-damage interaction are used to compute the scattering coefficients associated to three-dimensional defects in isotropic plates.
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F. Casadei, F. Casadei, J. J. Rimoli, J. J. Rimoli, M. Ruzzene, M. Ruzzene, } "Multiscale analysis of wave-damage interaction in two and three dimensional isotropic plates", Proc. SPIE 8695, Health Monitoring of Structural and Biological Systems 2013, 86951P (17 April 2013); doi: 10.1117/12.2009319; https://doi.org/10.1117/12.2009319
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