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Elastic-Plastic Analysis of Fiber Reinforced Metal Matrix Composite Structures

Mehvari Habibabadi, Reza | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43652 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Naghdabadi, Reza; Asghari, Mohsen
  7. Abstract:
  8. In this study, an elastic-plastic analysis of fiber reinforced metal matrix composite structures loaded by uniaxial uniform tension in the direction perpendicular to the fiber is carried out by assuming elastic-plastic matrix with kinematic hardening. Representative volume element (RVE) is used for this analysis. The element consists of a combined square field composed of a solid circular cylinder fiber and matrix in plane strain condition. Elastic analysis is carried out using Airy stress function and Michell solution. Unknown coefficients of the Airy stress function are determined by satisfying boundary conditions as well as continuity conditions. The governing equation of plastic zone is a nonlinear partial differential equation which is converted to a nonhomogeneous linear partial differential equation by using incremental solution. The solution of the resultant equation is composed of general and particular solutions. The general solution is an elastic solution and particular solution is determined by using curve fitting method. Prager kinematic hardening rule is used for this analysis. In this study, stress fields of the fiber and matrix in elastic and elastic-plastic analyses are determined. The results of this analysis have shown good agreement with the results of finite element analysis. In elastic analysis, the maximum radial, hoop and shear stresses of matrix are 1.28, 1 and 0.67 times the uniform applied stress. In elastic-plastic analysis, maximum radial stress of the matrix is reduced while maximum hoop stress of the matrix is unchanged and maximum shear stress of the matrix is increased
  9. Keywords:
  10. Elastic-Plastic Analysis ; Microscopic Structure ; Kinematics Hardening ; Fiber Reinforced Metal Matrix Composite ; Prager Rule

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