Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing

Tang, Yunlong; Kurtz, Aidan; Zhao, Yaoyao Fiona

doi:10.1016/j.cad.2015.06.001

Cited by 141 publications

(64 citation statements)

References 29 publications

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“…Wu et al [27] presented a selfsupporting "rhombic cell" topology gradient infill design system for 3D printing object optimization. Tang et al [28] proposed a bidirectional evolutionary structural optimization (BESO)-based method for truss-like lattice structure optimization. Alzahrani et al [29] designed truss-like cellular structures using the relative density mapping (RDM) method.…”

Section: Related Workmentioning

confidence: 99%

“…In this section, the proposed elastic tensor scaling law added optimization method will be compared with the cellular relative density mapping based on topology optimization with isotropic material [10,25]. In addition, it will be compared with the truss structure-based relative density optimization method [28,29]. The above methods correspond to "Method-1", "Method-2", and "Method-3" in Table 3, respectively.…”

Section: Comparisonmentioning

confidence: 99%

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Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes

Dai

Tang

et al. 2019

Journal of Mechanical Design

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Periodic cellular structures with excellent mechanical properties widely exist in nature. A generative design and optimization method for triply periodic level surface (TPLS)-based functionally graded cellular structures is developed in this work. In the proposed method, by controlling the density distribution, the designed TPLS-based cellular structures can achieve better structural or thermal performances without increasing its weight. The proposed technique can be divided into four steps. First, the modified 3D implicit functions of the triply periodic minimal surfaces are developed to design different types of cellular structures parametrically and generate spatially graded cellular structures. Second, the numerical homogenization method is employed to calculate the elastic tensor and the thermal conductivity tensor of the cellular structures with different densities. Third, the optimal relative density distribution of the object is computed by the scaling laws of the TPLS-based cellular structures added optimization algorithm. Finally, the relative density of the numerical results of structure optimization is mapped into the modified parametric 3D implicit functions, which generates an optimum lightweight cellular structure. The optimized results are validated subjected to different design specifications. The effectiveness and robustness of the obtained structures is analyzed through finite element analysis and experiments. The results show that the functional gradient cellular structure is much stiffer and has better heat conductivity than the uniform cellular structure.

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Section: Related Workmentioning

confidence: 99%

Section: Comparisonmentioning

confidence: 99%

Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes

Dai

Tang

et al. 2019

Journal of Mechanical Design

Self Cite

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“…(3) Lattice structure based on topology optimization design Topology optimization has been used as a common method for designing a structure and has achieved abundant achievements in other fields [116][117][118]. This method can also obtain the microstructure that matches the implant structure well.…”

Section: Lattice Structure Designmentioning

confidence: 99%

Additive Manufacturing of Customized Metallic Orthopedic Implants: Materials, Structures, and Surface Modifications

Bai

Cheng

Chen

et al. 2019

Metals

120

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Metals have been used for orthopedic implants for a long time due to their excellent mechanical properties. With the rapid development of additive manufacturing (AM) technology, studying customized implants with complex microstructures for patients has become a trend of various bone defect repair. A superior customized implant should have good biocompatibility and mechanical properties matching the defect bone. To meet the performance requirements of implants, this paper introduces the biomedical metallic materials currently applied to orthopedic implants from the design to manufacture, elaborates the structure design and surface modification of the orthopedic implant. By selecting the appropriate implant material and processing method, optimizing the implant structure and modifying the surface can ensure the performance requirements of the implant. Finally, this paper discusses the future development trend of the orthopedic implant.

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“…In structural mechanics, it is common to minimize the compliance of a structure, thus maximizing its stiffness, while constraining the amount of material used in the design. There are numerous topology optimization approaches, including homogenization method [27,28], solid isotropic material method (SIMP) [29][30][31][32][33][34], evolutionary structural optimization method (ESO) [35], and bidirectional structural optimization method (BESO) [36].…”

Section: Topology Optimization and Additive Manufacturingmentioning

confidence: 99%

Continuous Fiber Angle Topology Optimization for Polymer Composite Deposition Additive Manufacturing Applications

Jiang

Hoglund

Smith

2019

Fibers

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Mechanical properties of parts produced with polymer deposition additive manufacturing (AM) depend on the print bead direction, particularly when short carbon-fiber reinforcement is added to the polymer feedstock. This offers a unique opportunity in the design of these structures since the AM print path can potentially be defined in a direction that takes advantage of the enhanced stiffness gained in the bead and, therefore, fiber direction. This paper presents a topology optimization approach for continuous fiber angle optimization (CFAO), which computes the best layout and orientation of fiber reinforcement for AM structures. Statically loaded structures are designed for minimum compliance where the adjoint variable method is used to compute design derivatives, and a sensitivity filter is employed to reduce the checkerboard effect. The nature of the layer-by-layer approach in AM is given special consideration in the algorithm presented. Examples are provided to demonstrate the applicability of the method in both two and three dimensions. The solution to our two dimensional problem is then printed with a fused filament fabrication (FFF) desktop printer using the material distribution results and a simple infill method which approximates the optimal fiber angle results using a contour-parallel deposition strategy. Mechanical stiffness testing of the printed parts shows improved results as compared to structures designed without accounting for the direction of the composite structure. Results show that the mechanical properties of the final FFF carbon fiber/polymer composite printed parts are greatly influenced by the print direction, and optimized material orientation tends to align with the imposed force direction to minimize the compliance.

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Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing

Cited by 141 publications

References 29 publications

Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes

Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes

Additive Manufacturing of Customized Metallic Orthopedic Implants: Materials, Structures, and Surface Modifications

Continuous Fiber Angle Topology Optimization for Polymer Composite Deposition Additive Manufacturing Applications

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