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Advanced Topology Optimization Techniques for Engineering and Biomedical Problems

Park, Jaejong
http://rave.ohiolink.edu/etdc/view?acc_num=osu1534347400733419

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
Modern manufacturing advances such as layer-by-layer material joining process in 3D printing have added a new dimension to engineering design problems by providing greater flexibility. Sophisticated structural features in the internal architecture or complex geometries can be manipulated and implemented to enhance the performance of the final structure. Topology optimization is a powerful numerical tool that provides engineers an efficient way to realize innovative designs at an early design stage. It seeks the optimum distribution of limited material volume within a predefined design domain for the optimization objective against a set of constraints. This makes it an attractive tool for obtaining the non-intuitive mechanical design of complex structures in the aerospace, automotive and biomedical industries among others. Effective and systematic topology optimization methods that can fully leverage the capabilities of the recent manufacturing developments needs to be developed. In this thesis work, novel topology optimization methods are formulated which allows the design of multi-material, geometrically complex structures, and functional microstructures. A robust and effcient multi-material method for 3D topology optimization problems is formulated that breaks the original multi-material problem into a series of binary phase topology optimization problems then solves sequentially similar to the Gauss-Seidel method. The efficiency and accuracy are improved by implementing the multi-resolution technique. Using relatively coarser mesh for displacement field compared to the design and density variables allows reduced CPU time for solving the system equation. Also, a topology optimization technique to design structures in microscale is provided. Homogenization method allows analysis of composite materials by considering an effective continuum with repetitive microstructures. An objective is formulated in topology optimization that designs microstructure so that when it is repeated through the macroscopic domain, the structure can obtain a certain target elastic properties. Finally, the topological complexity can be controlled by introducing an additional geometric constraint in the formulation. Lower bound in the perimeter value, which is defined as the sum of inner and outer boundaries, can drive the final topology to have more holes. This leads to a structure with more refined load transfer paths, and it can generate structurally sound internal architectures for an effective light weighting of currently existing engineering solutions. The addition of design capabilities of multi-material, microstructures, complex geometries in this work will provide the basis of advanced manufacturing centric topology optimization framework.
Alok Sutradhar, PhD (Advisor)
Noriko Katsube, PhD (Committee Member)
Mo-How Herman Shen, PhD (Committee Member)
176 p.
Mechanical Engineering
Topology optimization; Multi-material; Multi-resolution; Functional material; Perimeter control

Recommended Citations

Citations

  • Park, J. (2018). Advanced Topology Optimization Techniques for Engineering and Biomedical Problems [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1534347400733419

    APA Style (7th edition)

  • Park, Jaejong. Advanced Topology Optimization Techniques for Engineering and Biomedical Problems. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1534347400733419.

    MLA Style (8th edition)

  • Park, Jaejong. "Advanced Topology Optimization Techniques for Engineering and Biomedical Problems." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1534347400733419

    Chicago Manual of Style (17th edition)

osu1534347400733419
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This open access ETD is published by The Ohio State University and OhioLINK.