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Optimization of Porosity Distribution in Functionally Graded Porous Shape Memory Alloy Beams Using Genethic Algorithm

Jamshidi, Mohammad Amin | 2017

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50005 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Arghavani Hadi, Jamal
  7. Abstract:
  8. Shape Memory alloys are a kind of intelligent materials developed in recent years due to their comprehensive use in medical, robotics, and other advanced sciences. Two main characteristics of them are shape memory effect and superelasticity put these materials in the category of advanced materials. Recently, the new branch of them attracted many studies which is the porous shape memory alloys. The importance of this class of material is related to their properties such as bio-compatibility, superelasticity and shape memory effect. Since shape memory alloys are usually expensive, a new field is developed known as functionally graded porosity distribution. This method is performed by non-uniformizing the porosity distribution in the structure to reduce weight and achieve demanded properties. Now, if this porosity distribution is optimally tailored, it leads to the optimal behavior in the structure. Therefore, the main focus of the project is to optimize this distribution. In the first part of this project, the critical buckling load and fundamental frequency for the functionally graded porous beam (one-dimensional and two-dimensional porosity distributions) are obtained using Timoshenko beam theory and energy approach. Optimization of the porosity distribution is also carried out in order to minimize mass, maximize critical buckling load and fundamental frequency using bio-inspired genetic algorithm in linear material structures. In the second part, relations between porous shape memory alloy parameters and porosity are obtained using finite element simulation. Defining an optimization problem to achieve stiffness of the natural bone, optimal porosity distribution is also determined using design of experiment method (Taguchi). Results demonstrate the great performance of the proposed method to optimize porosity distribution in the structures. Analysis of variance reveals the higher effect of design variables at edges objective functions (Young modulus and critical buckling load) rather than centeral parameters
  9. Keywords:
  10. Critical Buckling Load ; Fundamental Frequency ; Porous Shapememory Alloy ; Genetic Algorithm ; Porosity Distribution ; Gradient Porosity ; Natural Bone

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