Parametric design of Voronoi-based lattice porous structures

Lei, Hong-Yuan; Li, Jing‐Rong; Xu, Zhijia; Wang, Qinghui

doi:10.1016/j.matdes.2020.108607

Cited by 68 publications

(39 citation statements)

References 40 publications

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“…In order to enhance the in-plane properties of the cellular structures, as well as to increase their energy absorption, new core designs have been investigated. 25,26 Several kinds of geometrical features of cellular cores have been proposed either for honeycomb type such as, square honeycomb-corrugation hybrid core, 27 or for the lattice structures upon a large variety of truss cores, 13,28,29 including pyramidal, 30 diamond cubic, 31,32 Kelvin and rhombicuboctahedron, 33 Kagome, 34,35 Voronoi-based arrangements, 36 and other structures inspired by atomic arrangements. 37,38 Recently, Ara ujo et al 7,39 adapted the configurations proposed by Ronan et al, 40 to the core of sandwich panels.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the influence of design in the mechanical properties of honeycomb cores used in composite panels

Miranda

Leite

Reis

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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The aerospace, automotive, and marine industries are heavily reliant on sandwich panels with cellular material cores. Although honeycombs with hexagonal cells are the most commonly used geometries as cores, recently there have been new alternatives in the design of lightweight structures. The present work aims to evaluate the mechanical properties of metallic and polymeric honeycomb structures, with configurations recently proposed and different in-plane orientations, produced by additive and subtractive manufacturing processes. Structures with configurations such as regular hexagonal honeycomb (Hr), lotus (Lt), and hexagonal honeycomb with Plateau borders (Pt), with 0°, 45°, and 90° orientations were analyzed. To evaluate its properties, three-point bending tests were performed, both experimentally and by numerical modeling, by means of the finite element method. Honeycombs of two aluminum alloys and polylactic acid were fabricated. The structures produced in aluminum were obtained either by selective laser melting technology or by machining, while polylactic acid structures were obtained by material extrusion using fused filament fabrication. From the stress distribution analysis and the load–displacement curves, it was possible to evaluate the strength, stiffness, and absorbed energy of the structures. Failure modes were also analyzed for polylactic acid honeycombs. In general, a strong correlation was observed between numerical and experimental results. The results show that the stiffness and absorbed energy increase in the order, Hr, Pt, Lt, and with the orientation through the sequence, 45°, 90°, 0°. Thus, Lt structures with 0° orientation seem to be good alternatives to the traditional honeycombs used in sandwich composite panels for those industrial applications where low weight, high stiffness, and large energy-absorbing capacity are required.

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Section: Introductionmentioning

confidence: 99%

Evaluation of the influence of design in the mechanical properties of honeycomb cores used in composite panels

Miranda

Leite

Reis

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…Lattice structures represent a class of novel structures that can improve the load bearing performance with a reduction of weight. [19][20][21][22] Although some challenges still remain, studies of lattice structures have been conducted for applications such as vibration isolation, energy absorption under static and dynamic solicitations, bio-based tissue engineered scaffolds for medical use, which indicates its potential in various fields. 5,13,[23][24][25] The mechanical properties of lattice structures may be tailored by changing the strut dimensions, 17,19,20 the array configuration, 12 the unit cell shape or topology 5,12,26 and the relative density.…”

Section: Introductionmentioning

confidence: 99%

“…[19][20][21][22] Although some challenges still remain, studies of lattice structures have been conducted for applications such as vibration isolation, energy absorption under static and dynamic solicitations, bio-based tissue engineered scaffolds for medical use, which indicates its potential in various fields. 5,13,[23][24][25] The mechanical properties of lattice structures may be tailored by changing the strut dimensions, 17,19,20 the array configuration, 12 the unit cell shape or topology 5,12,26 and the relative density. 2,27,28 Several types of unit cells of the truss lattices have been proposed, such as, Voronoi-based arrays, 19 pyramidal, 9 diamond cubic, 28,29 octahedral, 30 circular, octagonal, Kelvin and rhombicuboctahedron, 8 Kagome, 31,32 cubic, 8,27 body-centred cubic (BCC), 12,26,32,33 face-centred cubic (FCC), 26,32 bodycentred cubic with (vertical) z-struts (BCCZ), 26 facecentred cubic with (vertical) z-struts (FCCZ) 26,33 and face-and body-centred cubic unit cell with z-axis struts (FBCCZ).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the effect of core lattice topology on the properties of sandwich panels produced by additive manufacturing

Monteiro

Sardinha

Alves

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Sandwich structures are frequently used in automotive, aerospace and marine industries, as they provide adequate functional properties. The two-dimensional regular hexagonal cell shape, i.e. honeycomb is the most used core structure in sandwich panels. Recently, a new type of cellular structures composed of lattice struts has been proposed, as they combine high stiffness, strength and energy absorption with low weight. The main purpose of this research is to investigate the effect of the lattice topology on the flexural behaviour of sandwich panels. Five lattice geometries inspired in crystalline structures were designed, namely, body-centred parallelepiped, body-centred parallelepiped with struts in z-axis, body- and face-centred parallelepiped with struts in z-axis, face-centred parallelepiped with struts in z-axis and parallelepiped simple. The relative density of all the lattices was kept constant as 0.3. Both numerical and experimental approaches were used to evaluate the flexural properties and failure behaviour of the sandwich structures under three-point bending tests. The numerical analysis was undertaken with the finite element software NX Nastran. Taking advantage of additive manufacturing technologies, material extrusion was used to produce polylactic acid samples with the configurations aforementioned. The sandwich panels are composed by a single layer formed by the lattice core and two thin plates, at the bottom and top. The three parts of the panel were manufactured all together. The simulation results indicate that, among the lattices studied, topologies body-centred parallelepiped with struts in z-axis and body- and face-centred parallelepiped with struts in z-axis exhibit higher strength, while body- and face-centred parallelepiped with struts in z-axis shows higher stiffness and higher energy absorption, attaining values that do not differ much from the ones obtained with a two-dimensional hexagonal cellular structure, with the same relative density. As a consequence, some of the geometries studied may have the potential to be considered as alternatives to conventional structures in the design of sandwich structures.

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“… Fantini et al (2016) and Fantini and Curto (2017) used the three-dimensional Voronoi tessellation method to design porous structures, and obtained the three-dimensional Voronoi unit by processing the three-dimensional coordinates, and established the porous structure by Boolean operation on Voronoi unit, as shown in Figure 4 . Lei et al (2020) proposed a new Voronoi tessellation method to control the distribution of seed points and established a function relationship of the porosity and the number of seed points. Through this method, they obtained a Voronoi tessellation scaffold with a gradient distribution of seed points, which realizes the global control of the lattice porous structure.…”

Section: The Structure Design Of Porous Metal Scaffoldsmentioning

confidence: 99%

Metal Material, Properties and Design Methods of Porous Biomedical Scaffolds for Additive Manufacturing: A Review

Wang

Liu

et al. 2021

Front. Bioeng. Biotechnol.

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Design an implant similar to the human bone is one of the critical problems in bone tissue engineering. Metal porous scaffolds have good prospects in bone tissue replacement due to their matching elastic modulus, better strength, and biocompatibility. However, traditional processing methods are challenging to fabricate scaffolds with a porous structure, limiting the development of porous scaffolds. With the advancement of additive manufacturing (AM) and computer-aided technologies, the development of porous metal scaffolds also ushers in unprecedented opportunities. In recent years, many new metal materials and innovative design methods are used to fabricate porous scaffolds with excellent mechanical properties and biocompatibility. This article reviews the research progress of porous metal scaffolds, and introduces the AM technologies used in porous metal scaffolds. Then the applications of different metal materials in bone scaffolds are summarized, and the advantages and limitations of various scaffold design methods are discussed. Finally, we look forward to the development prospects of AM in porous metal scaffolds.

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Parametric design of Voronoi-based lattice porous structures

Cited by 68 publications

References 40 publications

Evaluation of the influence of design in the mechanical properties of honeycomb cores used in composite panels

Evaluation of the influence of design in the mechanical properties of honeycomb cores used in composite panels

Evaluation of the effect of core lattice topology on the properties of sandwich panels produced by additive manufacturing

Metal Material, Properties and Design Methods of Porous Biomedical Scaffolds for Additive Manufacturing: A Review

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