Sample-Based Design of Functionally Graded Material Structures

Liu, Xingchen; Shapiro, Vadim

doi:10.1115/detc2016-60431

Cited by 2 publications

(2 citation statements)

References 61 publications

(77 reference statements)

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“…Likewise, surface lattices are also adopted for this task. References [15,23,29,31,32] employ surface lattices to materialize the results of topology optimization. Nevertheless, these works have some limitations: (1) the lack of a formal definition of the problem of mapping the densities of topology optimization into surface lattices, (2) the size of the finite elements affects the geometrical quality of the obtained surface (except for Ref.…”

Section: Explicit Realization Of the Results Of Topology Optimizationmentioning

confidence: 99%

Density-Sensitive Implicit Functions Using Sub-Voxel Sampling in Additive Manufacturing

Montoya-Zapata

Moreno

Pareja-Corcho

et al. 2019

Metals

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In the context of lattice-based design and manufacturing, the problem of physical realization of density maps into lattices of a particular family is central. Density maps are prescribed by design optimization algorithms, which seek to fulfill structural demands on a workpiece, while saving material. These density maps cannot be directly manufactured since local graded densities cannot be achieved using the bulk solid material. Because of this reason, existing topology optimization approaches bias the local voxel relative density to either 0 (void) or 1 (filled). Additive manufacturing opens possibilities to produce graded density individuals belonging to different lattice families. However, voxel-level sampled boundary representations of the individuals produce rough and possibly disconnected shells. In response to this limitation, this article uses sub-voxel sampling (largely unexploited in the literature) to generate lattices of graded densities. This sub-voxel sampling eliminates the risk of shell disconnections and renders better surface continuity. The manuscript devises a function to produce Schwarz cells that materialize a given relative density. This article illustrates a correlation of continuity against stress concentration by simulating C 0 and C 1 inter-lattice continuity. The implemented algorithm produces implicit functions and thus lattice designs which are suitable for metal additive manufacturing and able to achieve the target material savings. The resulting workpieces, produced by outsource manufacturers, are presented. Additional work is required in the modeling of the mechanical response (stress/strain/deformation) and response of large lattice sets (with arbitrary geometry and topology) under working loads.

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Section: Explicit Realization Of the Results Of Topology Optimizationmentioning

confidence: 99%

Density-Sensitive Implicit Functions Using Sub-Voxel Sampling in Additive Manufacturing

Montoya-Zapata

Moreno

Pareja-Corcho

et al. 2019

Metals

View full text Add to dashboard Cite

show abstract

“…Panesar et al [25] used the density of topology optimization directly mapping into the density of the infilled lattice structures. Liu and Shapiro [26] proposed a method to generate a spatially varying structure of FGM with target properties from computed tomography image or topology optimization. Wu et al [27] presented a selfsupporting "rhombic cell" topology gradient infill design system for 3D printing object optimization.…”

Section: Related Workmentioning

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

108

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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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Sample-Based Design of Functionally Graded Material Structures

Cited by 2 publications

References 61 publications

Density-Sensitive Implicit Functions Using Sub-Voxel Sampling in Additive Manufacturing

Density-Sensitive Implicit Functions Using Sub-Voxel Sampling in Additive Manufacturing

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

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