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Eigenfield Theory for Grade Two Flexoelectric Composites with Periodic or Arbitrary Nanostructure and General Anisotropy

Ghanimi, Zahra | 2023

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 56589 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Mohammadi Shodja, Hossein
  7. Abstract:
  8. Studying the behavior of electromechanical systems containing nanostructures, because of their widespread applications in the nanoscience and technology is of great interest. For this purpose, this work is devoted to analytical and exact determination of the electroelastic fields associated with periodic and arbitrary distributions of electromechanical nano inclusions and nano inhomogeneities of various shapes within electroelastic mediums of general anisotropy. Since classical continuum Theories are inadequate in accounting for size affects in nanostructures, a first strain gradient - first electric field gradient theory is applied. The present work considers Piezoelectric and Flexoelectric effects which are inherent electromechanical couplings in electroelastic materials. Moreover, to account for all types of electromechanical interactions between nanostructures and the differences in electromechanical properties of nanostructures and barriers, Eigenfield theory is used and an electromechanical equivalent inclusion method in first strain gradient – first electric field gradient theory is proposed. After presenting this analytical method in the framework of electromechanical second gradient theory, periodic and arbitrary distributions of nanostructures are examined separately and the equations are simplified analytically for each case. Finally for demonstration, some numerical examples of practical importance and common shapes and distributions are given
  9. Keywords:
  10. Electro-Elastic Field ; First Strain Gradient Theory ; Piezoelectricity ; Electromechanical Equivalent Inclusion Method (EMEIM) ; Nanoelectromechanical Syestem (NEMS) ; First Electric Field Gradient Theory ; Flexoelectric Effect ; Quantum Nanostructure

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