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Axial Stiffness of a Detached Anchor Plate in a Transversely Isotropic Solid

Ordookhani, Ali | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: English
  3. Document No: 44186 (53)
  4. University: Sharif University of Technology, International Campus, Kish Island
  5. Department: Science and Engineering
  6. Advisor(s): Mohammadi Shoja, Hossein; Eskandari, Morteza
  7. Abstract:
  8. In this study, the analytical treatment of an anchor plate buried in a transversely isotropic half-space and subjected to a normal point load is addressed. In reality, the tension face of the anchor plate is detached from the soil and the edges of the detached zone extend to a region greater than the anchor plate area. To simulate this situation, the anchor plate is modeled as a rigid circular disk located in a penny-shaped crack and it is in smooth contact with only single face of the crack. With the aid of an appropriate displacement potential function and Hankel transform, the governing equations of the problem are written as a set of triple integral equations. Employing some mathematical techniques, the solution of the problem reduces to a Fredholm integral equation of the second kind. The solution of the Fredholm integral equation is obtained by the introduced numerical scheme. Results of practical importance like the equivalent normal stiffness of the system, normal stress distribution beneath the anchor plate, stress intensity factors at the tip of the crack, and effects of anisotropy are depicted in some figures
  9. Keywords:
  10. Fredholm Integral Equation ; Fracture Mechanics ; Transversely Isotropic ; Mixed Boundary Value Problem ; Normal Stiffness ; Penny-Shaped Crack

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