Polymer Structures with the Topology of Triply Periodic Minimal Surfaces

Shevchenko, V. Ya.; Sychev, M. M.; Лапшин, А. Е.; Lebedev, Lev A.; Gruzdkov, A. A.; Glezer, Ari

doi:10.1134/s1087659617060177

Cited by 15 publications

(7 citation statements)

References 1 publication

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“…(αβ), (αγ), (αζ), (βγ), (βζ), (γζ), (αβγ), (αβζ), and (βγζ) represent each of the possible interaction terms, and the remaining term in the model, ε ijkl , is the random effects elements, representing variation within the experiment. The initial experimental model can also be written in matrix notation and expressed in the full rank parameterized form for the complete experiment in Equation (6).…”

Section: Statistical Experimental Designmentioning

confidence: 99%

“…Lattice architectures have been tested across various materials [ 3 , 5 , 6 , 7 , 8 ]; however, there has not been significant research into characterizing the mechanical properties of additively manufactured Inconel 718 (IN718) lattices. Wadley et al performed some of the initial mechanical characterizations of lattices, exploring strut-based and surface-based lattices manufactured utilizing traditional means [ 9 ].…”

Section: Introductionmentioning

confidence: 99%

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Investigation and Statistical Modeling of the Mechanical Properties of Additively Manufactured Lattices

Spear

Palazotto

2021

Materials

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This paper describes the background, test methodology, and experimental results associated with the testing and analysis of quasi-static compression testing of additively manufactured open-cell lattice structures. The study aims to examine the effect of lattice topology, cell size, cell density, and surface thickness on the mechanical properties of lattice structures. Three lattice designs were chosen, the Diamond, I-WP, and Primitive Triply Periodic Minimal Surfaces (TPMSs). Uniaxial compression tests were conducted for every combination of the three lattice designs, three cell sizes, three cell densities, and three surface thicknesses. In order to perform an efficient experiment and gain the most information possible, a four-factor statistical experimental design was planned and followed throughout testing. A full four-factor statistical model was produced, along with a reduced interactions model, separating the model by the significance of each factor and interaction terms. The impact of each factor was analyzed and interpreted from the resulting data, and then conclusions were made about the effects of the design parameters on the resultant mechanical performance.

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Section: Statistical Experimental Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation and Statistical Modeling of the Mechanical Properties of Additively Manufactured Lattices

Spear

Palazotto

2021

Materials

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“…Academician V. Ya. Shevchenko showed in their works , that due to the unique structure, products with the geometry of triply periodic minimal surfaces (TPMS) have higher mechanical characteristics and significantly exceed classical cellular structures . It is also significant that the structures used are often found in nature, which makes it possible to count on higher performance characteristics.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Cellular Structure Mechanical Properties with the Geometry of Triply Periodic Minimal Surfaces (TPMS)

et al. 2023

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The paper investigates the physical and mechanical properties of structures with the geometry of triply periodic minimal surfaces (TPMS). Test samples were made from polyamide using SLS (selective laser sintering) 3D printing technology, from polylactide using FDM (Fused deposition modeling) 3D printing technology, and from a photopolymer based on acrylates using LCD (liquid crystal display) technology; samples were made in the form of a cube with edge size 30 mm. The strength and energy-absorbing properties of TPMS-based cellular samples have been determined. To analyze the features of the geometry of the samples, the skeletal graph method was used. It is shown that this approach makes it possible to predict the physical and mechanical characteristics of products with TPMS geometry.

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“…In the works of Shevchenko, it was shown that structures based on triply periodic minimal surfaces (TPMS) are superior in the conditions of extreme mechanical loading due to their physical nature. , …”

Section: Introductionmentioning

confidence: 99%

High-Throughput Screening of 3D-Printed Architected Materials Inspired by Crystal Lattices: Procedure, Challenges, and Mechanical Properties

et al. 2023

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The search for load-bearing, impact-resistant, and energy-absorbing cellular materials is of central interest in many fields including aerospace, automotive, civil, sports, packaging, and biomedical. In order to achieve the desired characteristic geometry and/or topology, a perspective approach may be used, such as utilization of atomic models as input data for 3D printing of macroscopic objects. In this paper, we suggest a new approach for the development of advanced cellular materials�crystallomorphic design based on selection of perspective crystal structures and modeling of their electron density distribution and utilization of isoelectronic surfaces as a generatrix for 3D-printed cellular materials. The ATLAS database, containing more than 10 million existing and predicted zeolites, was used as a source of data. Herein, we introduced a high-throughput screening of a data array of crystalline compounds. Several perspective designs were identified, implemented by 3D printing, and showed high characteristics. A linear correlation was found between the strength of the samples and the minimum angle and minimum bond length in the simplified crystal structures. A new cellular geometry with reinforcement struts and increased strength was discovered. This property was found by us independent of the other works, in which the cellular structures were developed by an explicit method. Thus, the developed approach holds perspective for the design of new cellular structures with increased characteristics and for the prediction of their properties.

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Polymer Structures with the Topology of Triply Periodic Minimal Surfaces

Cited by 15 publications

References 1 publication

Investigation and Statistical Modeling of the Mechanical Properties of Additively Manufactured Lattices

Investigation and Statistical Modeling of the Mechanical Properties of Additively Manufactured Lattices

Prediction of Cellular Structure Mechanical Properties with the Geometry of Triply Periodic Minimal Surfaces (TPMS)

High-Throughput Screening of 3D-Printed Architected Materials Inspired by Crystal Lattices: Procedure, Challenges, and Mechanical Properties

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