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Design of Functionally Graded BCC Type Lattice Structures Using B-spline Surfaces for Additive Manufacturing

Goel, Archak
http://orcid.org/0000-0001-9755-6029
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1552398559313737

Abstract Details

2019, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
Additive manufacturing methods have recently been used to make light-weighted parts using lattice structures for various applications. Functionally graded lattice structures (FGLs) are structures that are designed using lattices with a varying distribution of porosity by virtue of varying the volume fractions of each unit cell in the 3D design domain. This graded design strategy helps achieve advanced properties related to a structure’s mechanical performance and functionalities such as ingrowth of bone during tissue implant fixation and transfer of heat in an optimized fashion in light-weighted structures. Compliance minimization is one such classic problem where topology optimization techniques are used to determine the optimum distribution of material in the design domain while obtaining the desired reduction in weight. This material distribution is typically populated with lattices of variable volume fraction unit cells to generate FGLs. Strut type unit cells such as BCC are commonly used to develop FGLs. In order to develop such structures with strut type unit cells there is a need for a methodology that can maintain smooth connectivity among unit cells of varying densities. This thesis discusses a new method to achieve smoothly connected FGLs, based on a BCC unit cell geometry, using a B-spline surface-based unit cell design methodology. The author’s previous work in [1] on generating bifurcating geometries using B-spline surfaces is extended to lattices as a case of multi-furcation geometries. First, a control polyhedron net is developed on the basis of desired unit cell geometry which is then further processed to construct watertight boundary representation of the unit cell using a 3rd order B-spline surface. This design methodology is used in conjunction with an algorithm to populate the density distribution from SIMP-based topology optimization using the unit cells with different volume fractions. The resulting lattice structure is compared with a uniform density lattice structure of similar light-weighting. It is shown that the methodology discussed in this paper could be successfully used to construct FGLs that are stiffer than their uniform density counterparts.
Sam Anand, Ph.D. (Committee Chair)
Michael Alexander-Ramos, Ph.D. (Committee Member)
David Thompson, Ph.D. (Committee Member)
51 p.
Engineering
graded lattice structure; cellular structure; B-spline surfaces; Additive Manufacturing; 3D Printing; porous structures

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Citations

  • Goel, A. (2019). Design of Functionally Graded BCC Type Lattice Structures Using B-spline Surfaces for Additive Manufacturing [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1552398559313737

    APA Style (7th edition)

  • Goel, Archak. Design of Functionally Graded BCC Type Lattice Structures Using B-spline Surfaces for Additive Manufacturing. 2019. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1552398559313737.

    MLA Style (8th edition)

  • Goel, Archak. "Design of Functionally Graded BCC Type Lattice Structures Using B-spline Surfaces for Additive Manufacturing." Master's thesis, University of Cincinnati, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1552398559313737

    Chicago Manual of Style (17th edition)

ucin1552398559313737
302
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This open access ETD is published by University of Cincinnati and OhioLINK.