A new stress-driven composite porous structure design method based on triply periodic minimal surfaces

Liu, Bin; Liu, Meiying; Cheng, Huaqin; Cao, Wei; Lü, Ping

doi:10.1016/j.tws.2022.109974

Cited by 14 publications

(3 citation statements)

References 44 publications

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“…The parameter vector distribution was found using the method described in [32]. The stiffness tensor component values (28) were calculated using the structure parameters in Equation ( 6) and the polynomial coefficient values in Table 2. As a result of the method developed in [32], the distribution of parameter vector p in region V was found.…”

Section: Model Taskmentioning

confidence: 99%

“…With this approach, we can understand the computational domain as a domain on which some scalar field is defined. For this domain, it is possible to construct weighted Voronoi cells (taking into account the value of the scalar field as a weight) [ 27 , 28 ]. A logical extension is the development of optimization methods using Voronoi cells.…”

Section: Introductionmentioning

confidence: 99%

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Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design

Bolshakov,

Kharin,

Agathonov

et al. 2024

Biomimetics

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Nowadays, the interaction of additive technologies and methods for designing or optimizing porous structures has yielded good results. Construction with complex microarchitectures can be created using this approach. Varying the microarchitecture leads to changes in weight and mechanical properties. However, there are problems with geometry reconstruction when dealing with complex microarchitecture. One approach is to use Voronoi cells for geometry reconstruction. In this article, an extension of the Voronoi diagram algorithm to orthotropic space for material structural design is presented. The inputs for the method include porosity, ellipticity, and ellipticity direction fields. As an example, a beam with fixed end faces and center kinematic loading was used. To estimate robust results for different numbers of clusters, 50, 75, and 100 clusters are presented. The porosity for smoothed structures ranged from 21.5% up to 22.8%. The stress–strain state was determined for the resulting structures. The stiffness for the initial and smoothed structures was the same. However, in the case of 75 and 100 clusters, local stress factors appeared in the smoothed structure. The maximum von Mises stress decreased by 20% for all smoothed structures in the area of kinematic loading and increased by 20% for all smoothed structures in the area of end faces.

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Section: Model Taskmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design

Bolshakov,

Kharin,

Agathonov

et al. 2024

Biomimetics

View full text Add to dashboard Cite

show abstract

“…Liu et al [ 32 ] proposed a novel design method for a composite porous structure based on TPMS and geodesic B-spline hollowing. Wang et al [ 33 ] used the Sigmoid function surface splicing method to splice different TPMS structures, and designed three novel types of composite TPMS-based porous structure. The experimental and FEA result indicates that these methods were effective and reliable to obtain the unit cell of TPMS with better mechanical properties.…”

Section: Introductionmentioning

confidence: 99%

Additively Manufactured Scaffolds with Optimized Thickness Based on Triply Periodic Minimal Surface

Zhu

Zou

et al. 2022

Materials

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Triply periodic minimal surfaces (TPMS) became an effective method to design porous scaffolds in recent years due to their superior mechanical and other engineering properties. Since the advent of additive manufacturing (AM), different TPMS-based scaffolds are designed and fabricated for a wide range of applications. In this study, Schwarz Primitive triply periodic minimal surface (P-TPMS) is adopted to design a novel porous scaffold according to the distribution of the scaffold stress under a fixed load with optimized thickness to tune both the mechanical and biological properties. The designed scaffolds are then additively manufactured through selective laser melting (SLM). The micro-features of the scaffolds are studied through scanning electron microscopy (SEM) and micro-computed tomography (CT) images, and the results confirm that morphological features of printed samples are identical to the designed ones. Afterwards, the quasi-static uniaxial compression tests are carried out to observe the stress–strain curves and the deformation behavior. The results indicate that the mechanical properties of the porous scaffolds with optimized thickness were significantly improved. Since the mass transport capability is important for the transport of nutrients within the bone scaffolds, computational fluid dynamics (CFD) are used to calculate the permeability under laminar flow conditions. The results reveal that the scaffolds with optimized structures possess lower permeability due to the rougher inner surface. In summary, the proposed method is effective to tailor both the mechanical properties and permeability, and thus offers a means for the selection and design of porous scaffolds in biomedical fields.

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Additive manufacturing applied to heat pipes

Jouhara,

Reay,

McGlen

et al. 2024

Heat Pipes

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A new stress-driven composite porous structure design method based on triply periodic minimal surfaces

Cited by 14 publications

References 44 publications

Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design

Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design

Additively Manufactured Scaffolds with Optimized Thickness Based on Triply Periodic Minimal Surface

Additive manufacturing applied to heat pipes

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