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The topologically engineered complex Schwarzites architecture has been used to build novel and unique structural components with a high specific strength. The mechanical properties of these building blocks can be further tuned, reinforcing…

We investigated through fully atomistic molecular dynamics simulations, the mechanical behavior (compressive and tensile) and energy absorption properties of two families (primitive (P688 and P8bal) and gyroid (G688 and G8bal)) of…

Materials Science · Physics 2019-09-10 Levi C. Felix , Cristiano F. Woellner , Douglas S. Galvao

Schwarzites are 3D crystalline porous materials exhibiting the shape of Triply Periodic Minimal Surfaces (TPMS). They possess negative Gaussian curvature, created by the presence of rings with more than six sp2-hybridized carbon atoms.…

Materials Science · Physics 2020-01-20 Levi C. Felix , Cristiano F. Woellner , Douglas S. Galvao

Since graphene was synthesized the interest for building new 2D and 3D structures based on the carbon allotropes has been growing every day. One of these 3D structures is know as carbon schwarzites. Schwarzites consist of carbon…

Materials Science · Physics 2020-08-26 Raphael M. Tromer , Levi C. Felix , Cristiano F. Woellner , Douglas S. Galvao

Schwarzites are crystalline, 3D porous structures with stable negative curvature formed of sp2-hybridized carbon atoms. These structures present topologies with tunable porous size and shape and unusual mechanical properties. In this work,…

Mesoscale and Nanoscale Physics · Physics 2018-01-18 Cristiano F. Woellner , Tiago Botari , Eric Perim , Douglas S. Galvao

Schwarzites are porous crystalline structures with Gaussian negative curvature. In this work, we investigated the mechanical behavior and energy absorption properties of two carbon-based diamond schwarzites (D688 and D8bal). We carried out…

We use ab initio density functional calculations to study the stability, elastic properties and electronic structure of sp2 carbon minimal surfaces with negative Gaussian curvature, called schwarzites. We focus on two systems with cubic…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 Sora Park , Kritsada Kittimanapun , Jeung-Sun Ahn , Young-Kyun Kwon , David Tomanek

The 3D porous carbon-based structures called Schwarzites have been recently a subject of renewed interest due to the possibility of being synthesized in the near future. These structures exhibit negatively curvature topologies with tuneable…

Computational Physics · Physics 2018-01-22 Daiane Damasceno Borges , Douglas S. Galvao

Schwarzites are porous structures that present negative Gaussian curvatures. Although initially proposed for carbon, in principle, schwarzites of other elements are possible. In this work, we have carried out a detailed investigation of the…

Materials Science · Physics 2022-08-23 Raphael M. Tromer , Levi C. Felix , Cristiano F. Woellner , Douglas S. Galvao

Triply Periodic Minimal Surfaces (TPMS) possess locally minimized surface area under the constraint of periodic boundary conditions. Different families of surfaces were obtained with different topologies satisfying such conditions. Examples…

Nature-occurring structures exhibiting unique topological features such as complex and gradient porosity has been the basis to create new materials and/or structures. Most studies have been focused on complex periodic porous structures but…

Materials Science · Physics 2021-11-15 Eliezer F. Oliveira , Rushikesh S. Ambekar , Douglas S. Galvao , Chandra S. Tiwary

The objective of this study is to evaluate the mechanical properties and energy absorption characteristics of the gyroid, dual-lattice and spinodoid structures, as biomimetic lattices, through finite element analysis and experimental…

Medical Physics · Physics 2024-01-23 Mahtab Vafaeefar , Kevin M. Moerman , Ted J. Vaughan

The widely used crystal structures for both heptazine-based and triazine-based two-dimensional (2D) graphitic carbon nitride (g-C$_3$N$_4$) are the flat P-6m2 configurations. However, the experimentally synthesized 2D g-C$_3$N$_4$ possess…

Materials Science · Physics 2021-02-03 Luneng zhao , Xizhi Shi , Jin Li , Tao Ouyang , Chunxiao Zhang , Chao Tang , Chaoyu He , Jianxin Zhong

The superior mechanical properties and low density of carbon nanostructures make them promising ballistic protection materials, stimulating investigations on their high-strain-rate behavior. Recent experiments and simulations revealed…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 David L. Azevedo , Rafael A. Bizao , Douglas S. Galvao

Schwarzites are porous (spongy-like) carbon allotropes with negative Gaussian curvatures. They were proposed by Mackay and Terrones inspired by the works of the German mathematician Hermann Schwarz on Triply-Periodic Minimal Surfaces…

Evacuating the powder trapped inside the complex cavities of Triply Periodic Minimal Surface (TPMS) structures remains a major challenge in metal-powder-based additive manufacturing. The Discrete Element Method offers valuable insights into…

Computational Physics · Physics 2025-11-26 Aashish K Gupta , Christopher Ness , Sina Haeri

Lattice structures are increasingly used in various fields of application due to the steady growth of additive manufacturing technology. Depending on the type of lattice, these structures are more or less suitable for energy absorption due…

Applied Physics · Physics 2024-12-10 Sören Bieler , Kerstin Weinberg

Adsorption of hydrogen atoms on a single graphite sheet (graphene) has been investigated by first-principles electronic structure means, employing plane-wave based, periodic density functional theory. A reasonably large 5x5 surface unit…

Materials Science · Physics 2009-11-13 Simone Casolo , Ole Martin Lovvik , Rocco Martinazzo , Gian Franco Tantardini

Lattice-like cellular materials, with their unique combination of lightweight, high strength, and good deformability, are promising for engineering applications. This paper investigates the energy-absorbing properties of four truss-lattice…

Applied Physics · Physics 2024-12-10 Sören Bieler , Kerstin Weinberg

Density-functional theory calculations with spin-polarized generalized gradient approximation and Hubbard $U$ correction is carried out to investigate the mechanical, structural, electronic and magnetic properties of graphitic heptazine…

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