Analysis of a Lamellar Inhomogeneity Via Repordusing Kernel Particle Method

Raeis Hosseiny, Aydin | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: English
  3. Document No: 39671 (53)
  4. University: Sharif University of Technology, International Campus, Kish Island
  5. Department: Science and Engineering
  6. Advisor(s): Mohammadi Shodja, Hossein
  7. Abstract:
  8. Nowadays, the excellent technological applications of composites have attracted the attentions of industry and numerous scientists. They are advantageous for their high tensile modulus, strength, and promising electrical and thermal properties. In applying the approach of lamellar inhomogeneity to real composites, the micro-geometries of the reinforcement must be considered such that they can be approximated as limiting case of an ellipsoid. In vapor grown carbon nanofiber, the fiber may have a diameter of about 150nm and length of 10-20 µm [1]. The modulus of carbon nanofiber is normally in the range of 100-600 GPa and sometimes even higher, whereas the modulus of some polymers is usually 2-5 GPa [2]; so we must consider a specified range of elastic modulus for lamellar inhomogeneity. Reproducing Kernel Particle Method (RKPM) [3] for determination of the elastic field of a lamellar inhomogeneity embedded in an isotropic elastic matrix is proposed. This method is one of the last innovations in solving differential equations that gives the approximation of the real solution without the need for mesh producing. . An innovative method of nonplanar material partitioning method (NMPM) with implementation of RKPM is employed to model the lamellar inhomogeneity in an isotropic plate under applied loading.
  9. Keywords:
  10. Quasi Crack ; Nonplanar Material Partitionary Method ; Lamellar Inhomogeneity ; Reproducing Kernel Particle Method (RKPM)

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