Strong 3D Printing by TPMS Injection

Yan, Xin; Rao, Cong; Lü, Lin; Sharf, Andrei; Zhao, Haisen; Chen, Baoquan

doi:10.1109/tvcg.2019.2914044

Cited by 27 publications

(8 citation statements)

References 56 publications

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“…Different 3D printing methods have been employed on the fabrication of TPMS structures such as Selective Laser Melting, 8,17 Selective Laser Sintering (SLS), 18 Powder Bed Fusion (PDF), 19 STereoLithograpy (STL) [20][21][22] and Fused Deposition Modelling (FDM). 4,23 Motivated by carbon nanomaterials such as nanotubes and fullerenes, Mackay and Terrones 24 proposed a class of curved atomic structures called schwarzites (after Schwarz), where their geometry resembles the shape of TPMS. Previous works have shown that structural stability, [25][26][27][28][29][30][31] mechanical, 32-34 electronic [35][36][37][38][39][40][41] and thermal properties [42][43][44] can be correlated to their negative Gaussian curvature.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Properties of Diamond Schwarzites: From Atomistic Models to 3D-Printed Structures

et al. 2020

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Triply Periodic Minimal Surfaces (TPMS) possess locally minimized surface area under the constraint of periodic boundary conditions. Different families of surfaces were obtained with different topologies satisfying such conditions. Examples of such families include Primitive (P), Gyroid (G) and Diamond (D) surfaces. From a purely mathematical subject, TPMS have been recently found in materials science as optimal geometries for structural applications. Proposed by Mackay and Terrones in 1991, schwarzites are 3D crystalline porous carbon nanocrystals exhibiting the shape of TPMS. Although their complex topology poses serious limitations on their synthesis with conventional nanoscale fabrication methods, such as Chemical Vapour Deposition (CVD), TPMS can be fabricated by Additive Manufacturing (AM) techniques, such as 3D Printing. In this work, we used an optimized atomic model of a schwarzite structure from the D family (D8bal) to generate a surface mesh that was subsequently used for . This D schwarzite was 3D-printed with thermoplastic PolyLactic Acid (PLA) polymer filaments. Mechanical properties under uniaxial compression were investigated for both the atomic model and the 3D-printed one. Fully atomistic Molecular Dynamics (MD) simulations were also carried out to investigate the uniaxial compression behavior of the D8bal atomic model. Mechanical testings were performed on the 3D-printed schwarzite where the deformation mechanisms were found to be similar to those observed in MD simulations. These results are suggestive of a scale-independent mechanical behavior that is dominated by structural topology.

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Section: Introductionmentioning

confidence: 99%

Mechanical Properties of Diamond Schwarzites: From Atomistic Models to 3D-Printed Structures

et al. 2020

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“…The above two methods are both density‐based, i.e., optimizing densities defined on the voxels after discretization. Other methods also use implicit or explicit scalar functions to represent the solid part in the design domain, such as Level Set method [SW00,WWG03], Moving Morphable Component (MMC) [GZZ14], and Triply Periodic Minimal Surfaces (TPMS) based methods [HWL*20,YRL*20]. Usually, these scalar functions are analogs of the signed distance functions.…”

Section: Related Workmentioning

confidence: 99%

Large‐Scale Worst‐Case Topology Optimization

Zhang

Zhai

et al. 2022

Computer Graphics Forum

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We propose a novel topology optimization method to efficiently minimize the maximum compliance for a high‐resolution model bearing uncertain external loads. Central to this approach is a modified power method that can quickly compute the maximum eigenvalue to evaluate the worst‐case compliance, enabling our method to be suitable for large‐scale topology optimization. After obtaining the worst‐case compliance, we use the adjoint variable method to perform the sensitivity analysis for updating the density variables. By iteratively computing the worst‐case compliance, performing the sensitivity analysis, and updating the density variables, our algorithm achieves the optimized models with high efficiency. The capability and feasibility of our approach are demonstrated over various large‐scale models. Typically, for a model of size 512×170×170 and 69934 loading nodes, our method took about 50 minutes on a desktop computer with an NVIDIA GTX 1080Ti graphics card with 11 GB memory.

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“…Regular internal filling structures, such as repeated unit cells, can be used to obtain lightweight structures. Common regular porous structures include diamond structures, regular hexahedron structures, and honeycomb structures [ 1 , 13 , 14 , 15 , 16 , 17 ]; however, regular porous structures are prone to stress shielding and exhibit poor permeability. An increasing number of studies have been conducted on irregular porous structures simulating the complex shape of real trabecular-like bone, and irregular porous scaffolds represented by Voronoi tessellation have drawn research interest [ 18 , 19 , 20 ].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Compressive and Permeability Behaviors of Trabecular-Like Porous Structure with Mixed Porosity Based on Mechanical Topology

Chao

et al. 2023

JFB

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The mechanical properties and permeability properties of artificial bone implants have high-level requirements. A method for the design of trabecular-like porous structure (TLPS) with mixed porosity is proposed based on the study of the mechanical and permeability characteristics of natural bone. With this technique, the morphology and density of internal porous structures can be adjusted, depending on the implantation requirements, to meet the mechanical and permeability requirements of natural bone. The design parameters mainly include the seed points, topology optimization coefficient, load value, irregularity, and scaling factor. Characteristic parameters primarily include porosity and pore size distribution. Statistical methods are used to analyze the relationship between design parameters and characteristic parameters for precise TLPS design and thereby provide a theoretical basis and guidance. TLPS scaffolds were prepared by selective laser melting technology. First, TLPS under different design parameters were analyzed using the finite element method and permeability simulation. The results were then verified by quasistatic compression and cell experiments. The scaling factor and topology optimization coefficient were found to largely affect the mechanical and permeability properties of the TLPS. The corresponding compressive strength reached 270–580 MPa; the elastic modulus ranged between 6.43 and 9.716 GPa, and permeability was 0.6 × 10−9–21 × 10−9; these results were better than the mechanical properties and permeability of natural bone. Thus, TLPS can effectively improve the success rate of bone implantation, which provides an effective theory and application basis for bone implantation.

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Strong 3D Printing by TPMS Injection

Cited by 27 publications

References 56 publications

Mechanical Properties of Diamond Schwarzites: From Atomistic Models to 3D-Printed Structures

Mechanical Properties of Diamond Schwarzites: From Atomistic Models to 3D-Printed Structures

Large‐Scale Worst‐Case Topology Optimization

Evaluation of Compressive and Permeability Behaviors of Trabecular-Like Porous Structure with Mixed Porosity Based on Mechanical Topology

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