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Analytical Modeling of Transversely Isotropic Half-and Full-Spaces Reinforced by Extensible Thin Films

Jarfi, Hamid | 2024

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 58158 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Eskandari, Morteza; Toufigh, Vahab
  7. Abstract:
  8. This dissertation presents the development of governing partial differential equations to model the behavior of elastic transversely isotropic membranes under asymmetric conditions. Assuming a very small thickness for the membrane, the governing equations are developed in terms of the average elastic fields along its thickness. Moreover, a set of equivalent interfacial boundary conditions is proposed for elastic media reinforced by thin membranes. By employing displacement potential functions and utilizing Fourier series expansion and the Hankel transform, the equivalent interfacial boundary conditions are also expressed in the transformed space. Both reinforced full-space and half-space media, with available results in the literature, are used to verify the accuracy of the proposed approach. Furthermore, Green’s functions for reinforced transversely isotropic media are obtained. The effectiveness of the proposed approach and the impact of the membrane on the elastic fields of the reinforced media are investigated through numerical examples. The proposed equivalent boundary conditions can reduce the computational costs of reinforced media analysis and can be applied in various areas, such as soil media reinforced by geogrids and geomembranes
  9. Keywords:
  10. Green Function ; Geotextile ; Geomembrane Covers ; Equivalent Boundary Conditions ; Extensible Thin Film ; Transversely Isotropic ; Anti Symmetric Loading

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