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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 42465 (08)
- University: Sharif University of Technology
- Department: Mechanical Engineering
- Advisor(s): Asghari, Mohsen
- Abstract:
- In the present study, by considering the damage effects, the governing equations for elastoplastic behavior of a rotating disk are derived. Then several numerical solutions are presented for specific examples. First, by means of elastic strain energy functions along with the damage appearing in the literature and irreversible Thermodynamics laws, an analytical solution is generated for a rotating disk undergoing elastic deformations. For this purpose, the components of strain tensor are obtained in terms of the damage variable and the stress tensor components. Then, by employing the damage evolution relations mixed with the damage surface relation, damage variable is derived as a function of stress. Next, the differential equation of motion for a rotating disk is obtained in term of the stress state by the use of the equilibrium equations and the compatibility relations. By imposing the boundary conditions, this nonlinear equation is solved numerically for a specific disk and results including stresses, strains, damage variable, damaged elasticity modulus and Poisson’s ratio are obtained. In the second part of this study, by assuming a perfect plastic behavior for disk’s material and combining the damage evolution relation with the yield criterion, the nonlinear differential equation of motion is obtained and solved numerically for a specific disk
- Keywords:
- Elasto-Plastic Analysis ; Yield Surface ; Spinning Disk ; Continuum Damage Mechanics ; Damage Evolution ; Damage Surface
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