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Axisymmetric response of a bi-material full-space reinforced by an interfacial thin film

Ahmadi, S. F ; Sharif University of Technology | 2016

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijsolstr.2016.02.011
  3. Publisher: Elsevier Ltd , 2016
  4. Abstract:
  5. Analytical treatment of a linear elastic isotropic bi-material full-space reinforced by an interfacial thin film under axisymmetric normal loading is addressed. The thin film is modeled as an extensible membrane perfectly bonded to the half-spaces. By virtue of Love's potential function and Hankel integral transform, elastic fields of the system are explicitly written in the form of semi-infinite line integrals. The analytical results are verified by the special cases corresponding to the surface stiffened half-space and classical bi-material problem. The limiting cases of reinforced homogeneous full-space and inextensible membrane are presented and discussed. The proposed formulation is also applicable for studying reinforced auxetic materials with negative Poisson's ratio. The surface/interface effect on the elastic responses of two perfectly bonded half-spaces is also simulated by assigning equivalent surface elastic constant to the membrane stiffness. Effects of thin film stiffness, material properties, loading depth, and surface/interface effect are studied by some numerical examples
  6. Keywords:
  7. Reinforced solid ; Geomembranes ; Geometry ; Geotextiles ; Hankel functions ; Integral equations ; Reinforcement ; Stiffness ; Analytical treatment ; Auxetic materials ; Bi-material ; Hankel integral transform ; Interfacial thin films ; Negative poisson's ratios ; Surface elastic constants ; Surface/interface effects ; Thin films
  8. Source: International Journal of Solids and Structures ; Volume 90 , July , 2016 , Pages 251–260 ; 00207683 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0020768316000652