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Three-dimensional dynamic Green's functions in transversely isotropic tri-materials

Khojasteh, A ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2012.07.009
  3. Publisher: 2013
  4. Abstract:
  5. An analytical derivation of the elastodynamic fundamental solutions for a transversely isotropic tri-material full-space is presented by means of a complete representation using two displacement potentials. The complete set of three-dimensional point-load, patch-load, and ring-load Green's functions for stresses and displacements are given, for the first time, in the complex-plane line-integral representations. The formulation includes a complete set of transformed stress-potential and displacement-potential relations in the framework of Fourier expansions and Hankel integral transforms, that is useful in a variety of elastodynamic as well as elastostatic problems. For the numerical computation of the integrals, a robust and effective methodology is laid out. Selected numerical results for point-load and patch-load Green's functions are presented to portray the dependence of the response on layering, the frequency of excitation, and type of loading
  6. Keywords:
  7. Displacement potentials ; Elasto-static problem ; Fourier expansion ; Fundamental solutions ; Hankel integral transform ; Numerical computations ; Numerical results ; Three-dimensional dynamics ; Transversely isotropic ; Tri-materials ; Green's function ; Integral equations ; Three dimensional ; Wave propagation ; Loading
  8. Source: Applied Mathematical Modelling ; Volume 37, Issue 5 , March , 2013 , Pages 3164-3180 ; 0307904X (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0307904X12004210