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Study Effect of Plain Strain Offsetting Short Fiber Composites on Mechanical Properties (Young's Modulus , …)

Esfini, Hossein | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41291 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Abedian, Ali
  7. Abstract:
  8. Obtaining the exact elastic response of composite systems to externally applied stresses is thought to be the most important way for predicting the mechanical behavior and tailoring the properties of composites. Over the past few decades, a variety of analytical models has been developed to investigate different stress transfer mechanisms in fiber composites. Although 2-D analytical model is still highly desired. So in present research a modified analytical model is developed for 2-D elastic stress field distribution in short fiber composites in plain strain for overlapping fibers subjected to an applied axial load . Two sets of exact displacement solutions for the matrix and fiber derived based on the theory of elasticity. The superposition of these two solutions are then used to obtain the analytical expressions for 3-D stress field components over the entire composite system including the fiber end region with the use of imaginary fiber technique. The main difference here is that stress field is considered to be dependent on the radial and axial direction, the fact that has been ignored by previous works. The dependency of the fiber and imaginary fiber stresses and strains to x-direction was calculated. The matrix and fiber 2-D stress field components exactly satisfy. the equilibrium and compatibility conditions and also the overall boundary conditions including the surface, the interface continuity, and the axial force equilibrium conditions. Another superiority of this analytical model is in solving problems with end debonding. The analytical results for perfect bond and conditions were then validated by FEM. Interestingly, good agreements are found between the analytical and numerical predictions for all the stress, strain and displacement components
  9. Keywords:
  10. Analytical Solution ; Short Fiber Composite ; Overlapping ; Imaginary Fiber

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