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Energy Management through Topology Optimization of Microstructure of Tow Phase Functionally Graded Materials (FGMs) under Dynamic Loading

Homayounfar, Zohreh | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44413 (07)
  4. University: Sharif University of Technology
  5. Department: Materials Science and Engineering
  6. Advisor(s): Bagheri, Reza; Tavakoli, Rouhollah
  7. Abstract:
  8. A numerical algorithm is proposed to design microstructure of a two-phase functionally graded material under dynamic loading. In order to direct energy propagation through the desired regions in the domain, we introduced a regularized Heaviside function, H(x), in our objective functional, namely the time-averaged sum of the elastic strain energy and the kinetic energy. Real-life systems are however, not undamped, but possess some kind of energy dissipation mechanism or damping. In order to apply modal analysis of undamped systems to damped systems, we use Rayleigh damping model in our formulations. To generate a well-posed topology optimization, we used homogenization via a solid isotropic material with penalization (SIMP) model. We proposed our solution methodology based on the adjoint sensitivity analysis and by implementation of a gradient based optimization method. To solve for the transient response, finite elements were used for space discretization while an implicit, unconditionally stable Newmark operator was used for time discretization. We designed optimal microstructure layouts for tailored energy propagation to demonstrate the performance of our algorithm under the different loading conditions
  9. Keywords:
  10. Dynamic Loading ; Functionally Graded Materials (FGM) ; Topology Optimization ; Microstructure Design ; Energy Waves Management

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