Bézier-based metamaterials: Synthesis, mechanics and additive manufacturing

Álvarez-Trejo, Alberto; Cuan-Urquizo, Enrique; Román-Flores, Armando; Trápaga, G.; Alvarado-Orozco, J.M.

doi:10.1016/j.matdes.2020.109412

Cited by 35 publications

(18 citation statements)

References 29 publications

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“…Several advantages of the bezier curve make it suitable to model the curve or any geometric shape, including in modeling the Bond yield curve. Alvarez-Trejo et al state the cubic bezier curve is often used in designing curves and surfaces, simple in the calculation, and simple to use and evaluate [23]. From the result of the research, it can be seen the cubic bezier curve can approach and follow the direction of Bond yield points from observation results.…”

Section: The Equation Of Cubic Bezier Curve Formentioning

confidence: 99%

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Modeling of Bond Yield Curve Using Cubic Bezier Curve

Siswanah

2022

BAREKENG: J. Math. & App.

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Investors attracted to Bond have to analyze the Bond yield curve. In this study, the bond yield curve is modeled using a cubic bezier curve. The cubic bezier curve is flexible, precise, and simple to use and evaluate. The bonds used in this study are Surat Berharga Negara (Government Paper) Fix Rate type dated August, 2nd–6th 2021. Bond data is obtained from the Indonesia Stock Exchange https://www.idx.co.id. The results show that the bond yield curve that is formed varies because bond yields change every time following market developments. The cubic bezier curve is able to model the bond yield curve well. Cubic bezier curves have 4 control values that help guide the curve well. The MSE value obtained by the bezier curve is small in general. The MSE values of the cubic bezier curve for the Bond yield data, sequentially from the least to the greatest, are 0,098 on August 4th, 2021; 0,1719 on August 5th, 2021; 0,2161 on August 3rd, 2021; 0,2498 on August 6th, 2021; and 0,2906 on August 2nd, 2021.

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Section: The Equation Of Cubic Bezier Curve Formentioning

confidence: 99%

“…Thus, errors could be minimized. Cubic bezier curve is common for designing curves and surfaces, simple in the calculation, application, and evaluation [23].…”

Section: Introductionmentioning

confidence: 99%

Modeling of Bond Yield Curve Using Cubic Bezier Curve

Siswanah

2022

BAREKENG: J. Math. & App.

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“…The versatility of the design for non-straight beams and the resulting intriguing interplay between their bending and lateral stiffnesses enable the enriched potential for programming the behavior of mechanical metamaterials through a rational selection of the geometry of the unit cell [8,28]. For example, incorporating Bezier curves in designs has been shown to widen the design space for chiral metamaterials [1]. While the benefits of curved beams are quite obvious, their employment in the structure makes the analytical solution for the mechanical behavior of metamaterials much harder [11,28].…”

Section: Introductionmentioning

confidence: 99%

Controlling auxeticity in curved-beam metamaterials via a deep generative model

Felsch¹,

Ghavidelnia²,

Schwarz³

et al. 2023

Preprint

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Lattice-based mechanical metamaterials are known to exhibit quite a unique mechanical behavior owing to their rational internal architecture. This includes unusual properties such as a negative Poisson's ratio, which can be easily tuned in reentrant-hexagonal metamaterials by adjusting the angles between beams. However, changing the angles also affects the overall dimensions of the unit cell. We show that by replacing traditional straight beams with curved ones, it is possible to control the Poisson's ratio of reentranthexagonal metamaterials without affecting their overall dimensions. While the mechanical properties of these structures can be predicted through finite element simulations or, in some cases, analytically, many applications require to identify architectures with specific target properties. To solve this inverse problem, we introduce a deep learning framework for generating metamaterials with desired properties. By supplying the generative model with a guide structure in addition to the target properties, we are not only able to generate a large number of alternative architectures with the same properties, but also to express preference for a specific shape. Deep learning predictions together with experimental measurements prove that this approach allows us to accurately generate unit cells fitting specific properties for curved-beam metamaterials.

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“…In the next article, the research team from Monterrey described the cube-shaped models with fractal structures. The models were subjected to compression procedures and basic mechanical properties were determined [6]. It is advisable to continue research on hexagonal cell structures and the use of PolyJet Matrix technology for this purpose, because the accuracy of the printout and the development of a model of the cell structure will significantly affect the appropriate lower exploitation of materials in industry or medicine without significantly deteriorating mechanical properties.…”

Section: Introductionmentioning

confidence: 99%

Compressive properties of cell structures manufactured by photo-curing technology liquid polymer resins – Polyjet Matrix

Rudnik

2022

Mechanik

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The article presents the results of compressive strength tests of cylindrical samples with a hexagonal cell structure. The samples were made of MED 610 material using the photo-curing technology liquid polymer resins. The compressive strength was estimated on the basis of a static compression test of the printed elements. It has been shown that the PolyJet Matrix 3D printing technology enables the printing models with a thin-walled cell structure, which, while maintaining the appropriate strength properties, can be used in the design and production of certain utility models.

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Bézier-based metamaterials: Synthesis, mechanics and additive manufacturing

Cited by 35 publications

References 29 publications

Modeling of Bond Yield Curve Using Cubic Bezier Curve

Modeling of Bond Yield Curve Using Cubic Bezier Curve

Controlling auxeticity in curved-beam metamaterials via a deep generative model

Compressive properties of cell structures manufactured by photo-curing technology liquid polymer resins – Polyjet Matrix

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