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Green's functions of an exponentially graded transversely isotropic half-space

Eskandari, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijsolstr.2010.02.014
  3. Publisher: 2010
  4. Abstract:
  5. By virtue of a complete set of displacement potential functions and Hankel transform, the analytical expressions of Green's function of an exponentially graded elastic transversely isotropic half-space is presented. The given solution is analytically in exact agreement with the existing solution for a homogeneous transversely isotropic half-space. Employing a robust asymptotic decomposition technique, the Green's function is decomposed to the closed-form Green's function corresponding to the homogeneous transversely isotropic half-space and grading term with strong decaying integrands. This representation is very useful for numerical methods which are based on boundary-integral formulations such as boundary-element method since the numerically evaluated part is not responsible for the singularity. The high accuracy of the proposed numerical scheme is confirmed by some numerical examples
  6. Keywords:
  7. Analytical expressions ; Boundary integral formulations ; Closed-form Green's functions ; Decomposition technique ; Displacement potential function ; Element method ; Exponentially graded ; Hankel Transform ; Numerical example ; Numerical scheme ; Transversely isotropic ; Boundary element method ; Functionally graded materials ; Hankel functions ; Numerical methods ; Sailing vessels ; Green's function
  8. Source: International Journal of Solids and Structures ; Volume 47, Issue 11-12 , June , 2010 , Pages 1537-1545 ; 00207683 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0020768310000648