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A Micromechanical Study of Implants via Eigenstrain Theory

Soleimani, Kasra | 2020

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 52861 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Mohammadi Shodja, Hossein
  7. Abstract:
  8. In this thesis, concerning Eigenstrain Theory, the micromechanical formulation of dental implants has been derived for the first time in the fields of Mechanics and Medical Science. The proliferation of using dental implants as a prosthesis for the people who lost their teeth because of poor maintenance and smoking cigarette results in scientists think more about the design of these implants and their stress fields inside the mandible. It is crystal clear that these stress fields cause stress shielding, which is a phenomenon that brings about bone loss or decrement in the bone density. Hence, if we know the stress that is produced by the implants inside the mandible, we can optimize the design of these prostheses. In this study, first, the problem with respect to the theory of micromechanics produces differential equations with partial derivations and boundary conditions. Afterward, the elastic fields inside and outside of the implants have been derived by solving these equations. The mandible of human beings is considered a functionally graded material. In the field of materials, these materials have different mechanical characteristics in the direction of depth and length
  9. Keywords:
  10. Dental Implant ; Eigenstrain ; Functionally Graded Materials (FGM) ; Green Function Formalism ; Micromechanical Model

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