Mechanical Strength of Triply Periodic Minimal Surface Lattices Subjected to Three-Point Bending

Lin, Zo-Han; Pan, Jyun-Hong; Li, Hung-Yuan

doi:10.3390/polym14142885

Cited by 12 publications

(8 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There exists an inverse relationship between the mechanical properties of G-structure and unit size. Among specimens with the same unit size, those with a relative density of 30% demonstrated higher mechanical strength and elastic modulus (Lin et al 2022;Pires et al 2021). However, although porous specimens with a relative density of 20% do not possess comparable mechanical strength to their counterparts, it exhibited lower elastic modulus and larger porosity, which were advantageous for promoting bone tissue nutrient transfer and enhancing bone ingrowth ability (Lv et al 2022b;Wang et al 2022).…”

Section: Discussionmentioning

confidence: 99%

“…In recent years, triply periodic minimal surfaces (TPMS) have garnered significant attention from researchers in the field of 3D printing porous structures due to their unique properties. TPMS surfaces exhibit smoothness and interconnected pore heights, allowing for precise control over the overall structure through implicit functions (Li et al 2022). Consequently, It present an exceptional solution for designing and modeling porous structures in 3D printed bone grafts (Günther et al 2022;Lv et al 2022a;Shen et al 2023).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of 3D printing osteotomy block for foot based on triply periodic minimal surface

Xie,

et al. 2023

Preprint

View full text Add to dashboard Cite

Introduction: The advantages of triply periodic minimal surfaces (TPMS) lie in their smooth surface and connected hFole height, while the overall structure is precisely controlled by implicit functions. This study was to explore the application of this method in designing and modeling porous structures for 3D printing of foot osteotomy blocks. Methods: The TPMS for designing porous structures of G (Gyroid) and D (Diamond) structures was determined using Matlab R2020a based on implicit functions. Porous samples were prepared through EBM technology, and mechanical performance data were obtained by conducting mechanical testing on the samples. Comparative analysis was performed to identify the optimal porous structure for designing a bone block implant, and subsequently, the shaping design of the porous osteotomy block was completed based on the determined structure. Results: The relative density exhibits a negative correlation with the variable parameters, and as the relative density decreased in a porous structure, its volume fraction also decreased. The optimal t values for the porous G and D structures were 0.61, 0.92, 1.22 and 0.49, 0.76, 1 respectively, corresponding to relative densities of 30%, 20%, and 10%. The G structure demonstrated a progressive collapse damage mechanism from bottom to top layer by layer, while the D structure exhibit a shear failure zone at a 45° angle which was not conducive to energy absorption and was more susceptible to brittle fracture compared to the G structure. In terms of stress-strain curve repeatability for porous samples with a unit size of 1.5 mm, the G structure showed strong consistency while there was significant deviation in samples with D structure. Among samples with the same unit size, those with a relative density of 30% in G structure possessed higher mechanical strength as well as larger elastic modulus compared to others. Although samples with a relative density of 20% did not exhibit as high mechanical strength as mentioned above counterparts did have lower elastic modulus and larger porosity rate instead. The designed foot osteotomy blocks can adjust aperture size and porosity rate of beam-like structures by modifying function parameters using aforementioned methods. Conclusion: The foot osteotomy block's porous structure based on TPMS design, exhibits characteristics such as porosity, smoothness, and connectivity. This makes it an excellent method for preparing 3D printed specimens of foot osteotomy blocks.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of 3D printing osteotomy block for foot based on triply periodic minimal surface

Xie,

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Trigonometrically, the gyroid surface can be approximated by the equation: sin(x)cos(y) + sin(y)cos(z) + sin(z)cos(x) = 0. It was demonstrated that with sandwich panel structures with minimal surfaces, particularly gyroid, cores considerably lower material consumption while simultaneously maintaining mechanical properties [22]. Gyroids make MEX parts stronger and lighter.…”

Section: Minimal Surfacesmentioning

confidence: 99%

“…roid surface can be approximated by the equation: sin(x)cos(y) + sin = 0. It was demonstrated that with sandwich panel structures with ticularly gyroid, cores considerably lower material consumption maintaining mechanical properties [22]. Gyroids make MEX parts Due to the complexity of this structure, it was designed by computational means, but was not able to be manufactured until the arrival of additive manufacturing.…”

Section: Minimal Surfacesmentioning

confidence: 99%

Minimal Surfaces as an Innovative Solution for the Design of an Additive Manufactured Solar-Powered Unmanned Aerial Vehicle (UAV)

García-Gascón

Castelló-Pedrero

García-Manrique

2022

Drones

View full text Add to dashboard Cite

This paper aims to describe the methodology used in the design and manufacture of a fixed-wing aircraft manufactured using additive techniques together with the implementation of technology based on solar panels. The main objective is increasing the autonomy and range of the UAV’s autonomous missions. Moreover, one of the main targets is to improve the capabilities of the aeronautical industry towards sustainable aircrafts and to acquire better mechanical properties owing to the use of additive technologies and new printing materials. Further, a lower environmental impact could be achieved through the use of renewable energies. Material extrusion (MEX) technology may be able to be used for the manufacture of stronger and lighter parts by using gyroids as the filling of the printed material. The paper proposes the use of minimal surfaces for the reinforcement of the UAV aircraft wings. This type of surface was never used because it is not possible to manufacture it using conventional techniques. The rapid growth of additive technologies led to many expectations for new design methodologies in the aeronautical industry. In this study, mechanical tests were carried out on specimens manufactured with different geometries to address the design and manufacture of a UAV as a demonstrator. In addition, to carry out the manufacture of the prototype, a 3D printer with a movable bench similar to a belt, that allows for the manufacture of parts without limitations in the Z axis, was tested. The parts manufactured with this technique can be structurally improved, and it is possible to avoid manufacturing multiple prints of small parts of the aircraft that will have to be glued later, decreasing the mechanical properties of the UAV. The conceptual design and manufacturing of a solar aircraft, SolarÍO, using additive technologies, is presented. A study of the most innovative 3D printers was carried out that allowed for the manufacture of parts with an infinite Z-axis and, in addition, a filler based on minimal surfaces (gyroids) was applied, which considerably increased the mechanical properties of the printed parts. Finally, it can be stated that in this article, the potential of the additive manufacturing as a new manufacturing process for small aircrafts and for the aeronautical sector in the future when new materials and more efficient additive manufacturing processes are already developed is demonstrated.

show abstract

“…Lattice structures have been studied in the context of four different material classes: resins, thermoplastics, ceramics and metals. Research on thermoplastics, 8 resins 9,10 and ceramics 11 focuses on the bending and compression behaviour of a range of lattice geometries. On the metal printing side, Ti-6Al-4V electron beam melting (EBM) 12 and 316L Stainless Steel Powder Bed Fusion (PBF) 13 printed lattices were investigated and modelled.…”

Section: Introductionmentioning

confidence: 99%

Initial performance assessment of 3D printed thin walled structures for spacecraft applications

Dumitrescu,

Walker,

Romei

et al. 2024

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

Sandwich panels are the fundamental structural element in a wide range of applications, including in satellite primary structures. While sandwich constructions are very efficient, their complex multi-material assembly leaves room for further optimisation of the core volume and improvement in the integration phase. One key technology that can enable the transition to multifunctional sandwich panel cores tailored to certain applications is the additive manufacturing (AM) of satellite primary structure sandwich panel cores. This paper investigates the feasibility of replacing the baseline Aluminium honeycomb core with a core printed out of AlSi10Mg through Powder Bed Fusion. Sandwich panels with carbon fiber-reinforced plastic (CFRP) facesheets and printed honeycomb cores as well as fully printed corrugated panels are produced and tested under three point bending (3PB) and compression as part of the EU funded ReDSHIFT project. The Instron 5560 (3PB) and 4204 (compression) are used to perform the experiments that follow the ASTM C393-11 and C365 standards. When compared against the baseline CFRP-AL panels, the 3D printed honeycomb cores carry up to twice as much load per unit mass in bending and four times as much in compression, while also being stiffer. The fully printed corrugates samples are weaker than the honeycombs, but in conjunction with the honeycomb geometry may present a promising avenue for developing multifunctional cores. While limitations with current metal printing technology prevent AM cores from matching the mass of baseline designs, the superior specific performance and geometrical freedom make printed cores a promising design alternative.

show abstract

Mechanical Strength of Triply Periodic Minimal Surface Lattices Subjected to Three-Point Bending

Cited by 12 publications

References 34 publications

Design of 3D printing osteotomy block for foot based on triply periodic minimal surface

Design of 3D printing osteotomy block for foot based on triply periodic minimal surface

Minimal Surfaces as an Innovative Solution for the Design of an Additive Manufactured Solar-Powered Unmanned Aerial Vehicle (UAV)

Initial performance assessment of 3D printed thin walled structures for spacecraft applications

Contact Info

Product

Resources

About