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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 45701 (07)
- University: Sharif University of Technology
- Department: Materials Science and Engineering
- Advisor(s): Tvakkoli, Roohollah
- Abstract:
- Functionally graded materials (FGMs) are categorized in a branch of composite materials in which the local volume fraction of contributing phases are not fixed throughout the spatial domain, but vary gradually as a function of position. This spatial variation leads to the gradual variation of physical and mechanical properties inside the materials. It provides us the opportunity of designing multiple purpose materials by the variation of local volume fractions according to our goal. The optimal distribution of local volume fractions is a function of the spatial domain geometry and loading conditions, and in general situations, due to the complexity of the problem, it is not possible to determine it by analytical methods. In the present research, a physical and mathematical models have been introduced to study the behavior of multiphase functionally graded materials under elastodynamic loading. Then, a mathematical and numerical method have been presented to find optimal values of volume fraction to minimize total stored energy (sum of potential and kinetic energies) inside the structure under dynamic loading. The outcome of the presented algorithm has been studies through extensive numerical experiment ranging from two phase FGMs to five phase FGMs. According to the results of this study, the optimal distributions of phases in the media have been determined by the presented algorithm such the total stored energy in the media has been decreased by an order of magnitude in contrast to the initial uniform materials distribution. Furthermore, the maximum elastic deformation of structure, in particular near free surfaces which are appropriate positions for the initiation of fatigue cracks, has been decreased considerably as a result of optimization. Finally, it seems that the presented algorithm provides a powerful tool for optimal design of advanced materials for absorption of elastic waves, like elastic dampers
- Keywords:
- Microstructure ; Dynamic Loading ; Topology Optimization ; Multiphase Functionally Graded Material
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