Artículos de revistas
A time-harmonic fundamental solution for a class of inhomogeneous transversely isotropic media
Wave Motion. Elsevier Science Bv, v. 46, n. 4, n. 269, n. 279, 2009.
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)We present here some numerical results for a two-dimensional fundamental solution in a class of inhomogeneous transversely isotropic media. The inhomogeneity is assumed to be the same not only for the stiffnesses, but also for the density. The derivation, which is based on a previous work by Rangelov et al. [T.V. Rangelov et al., Elastodynamic fundamental solutions for certain families of 2d inhomogeneous anisotropic domains: basic derivations, Eur. J. Mech. A Solids 24 (2005) 820-836], is accomplished in terms of the Radon transform and numerical integration procedures. The time-harmonic fundamental solution reveals its non-wave nature for sources with lower frequencies than the critical one. We identify a subcase of the fundamental solution which is amenable to numerical evaluation, requiring however additional constraints with respect to the elasticity constants. The general fundamental solution reveals a more complicated structure, with additional effects in comparison to the above mentioned subcase, as e. g. the loss of symmetry of the Green's Tensor. (C) 2009 Elsevier B.V. All rights reserved.464269279Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)