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Triply periodic minimal surface (TPMS) metamaterials characterized by mathematically-controlled topologies exhibit better mechanical properties compared to uniform structures. The unit cell topology of such metamaterials can be further…

Computational Engineering, Finance, and Science · Computer Science 2023-03-20 Asha Viswanath , Diab W Abueidda , Mohamad Modrek , Kamran A Khan , Seid Koric , Rashid K. Abu Al-Rub

Triply periodic minimal surface (TPMS) structures, a type of lattice structure, have garnered significant attention due to their lightweight nature, controllability, and excellent mechanical properties. Voxel-based modeling is a widely used…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Siqi Wang , Chuangyu Jiang , Xiaodong Zhang , Yilong Zhang , Baoqiang Zhang , Huageng Luo

Triply periodic minimal surfaces (TPMS) are a class of metamaterials with a variety of applications and well-known primitive morphologies. We present a new method for discovering novel microscale TPMS structures with exceptional…

This work examines the mechanical behavior of three-layer plates with a tetrachiral honeycomb core and solid face layers under static bending conditions. The influence of discretization, relative density, and thickness of the honeycomb core…

Numerical Analysis · Mathematics 2025-10-15 A. V. Mazaev

The inherent trade-off between ultra-low thermal conductivity and high mechanical rigidity in natural materials limits their utility in advanced applications. Inspired by the unique architecture of layered honeycomb structures, this study…

Applied Physics · Physics 2026-03-23 Hossein Rokni , Patrick Singleton , Yuanlong Zheng , Connor Blake , Haoran Lin , Shuolong Yang

Cellular solids are known to exhibit size effects, i.e., differences in the apparent effective elastic moduli, when the specimen size becomes comparable to the cell size. The present contribution employs direct numerical simulations (DNS)…

Computational Physics · Physics 2021-01-05 Rinh Dinh Pham , Geralf Hütter

We analyze the performance of a reduced-order simulation of geometric meta-materials based on zigzag patterns using a simplified representation. As geometric meta-materials we denote planar cellular structures which can be fabricated in 2d…

Graphics · Computer Science 2022-10-25 Kurt Leimer , Przemyslaw Musialski

We propose systems with structures defined by self-assembled triply periodic minimal surfaces (STPMS) as candidates for photonic bandgap materials. To support our proposal we have calculated the photonic bands for different STPMS and we…

Materials Science · Physics 2009-10-31 L. Martin-Moreno , F. J. Garcia-Vidal , A. M. Somoza

The hygro-mechanical behavior of a hierarchical cellular material, i.e. growth rings of softwood is investigated using a two-scale micro-mechanics model based on a computational homogenization technique. The lower scale considers the…

Materials Science · Physics 2015-09-22 Ahmad Rafsanjani , Dominique Derome , Falk K. Wittel , Jan Carmeliet

The homogenization of auxetic cellular solids having periodic hexachiral and tetrachiral microstructure is dealt with two different techniques. The first approach is based on the representation of the cellular solid as a beam-lattice to be…

Materials Science · Physics 2014-04-16 Andrea Bacigalupo , Luigi Gambarotta

We propose a family of modulated honeycomb lattices, a class of quasiperiodic tilings characterized by the metallic mean. These lattices consist of six distinct hexagonal prototiles with two edge lengths, $\ell$ and $s$, and can be regarded…

Strongly Correlated Electrons · Physics 2025-09-23 Akihisa Koga , Toranosuke Matsubara

We theoretically demonstrate that the desired $p_{x,y}$-orbital honeycomb electron lattice can be readily realized by arranging CO molecules into a hexagonal lattice on Cu(111) surface with scanning tunneling microscopy (STM). The…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Wen-Xuan Qiu , Liang Ma , Jing-Tao Lü , Jin-Hua Gao

The link between bicontinuous architectures in biological membranes and triply-periodic minimal surfaces (TPMS) is a well established example of stunning geometric form in nature. The prolamellar body (PLB) in early plant plastid…

Soft Condensed Matter · Physics 2025-09-03 Vira Raichenko , Alicja Bukat , Michal Bykowski , Lucja Kowalewska , Myfanwy E. Evans

Cellular solids and micro-lattices are a class of lightweight architected materials that have been established for their unique mechanical, thermal, and acoustic properties. It has been shown that by tuning material architecture, a…

Materials Science · Physics 2024-03-12 Shengzhi Luan , Enze Chen , Joel John , Stavros Gaitanaros

The optimal use of resources has motivated the engineering community to employ controlled distribution of material within their structural designs, often relying on cellular and lattice porous structures. In this research work, a…

Materials Science · Physics 2022-07-15 A. E Gomez-Ovalle

The relationship between surfaces of constant charge density and triply-periodic minimal surfaces (TPMS) has been the subject of considerable speculation over many years. Zero-potential surfaces generated by an electrostatic field from a…

Materials Science · Physics 2025-09-05 Mengdi Yin , Dimitri D. Vvedensky

In the design and analysis of composite materials based on periodic arrangements of sub-units it is of paramount importance to control the emergent material symmetry in relation to the elastic response. The target material symmetry plays…

Mathematical Physics · Physics 2023-06-27 Giulio G. Giusteri , Raimondo Penta

This paper provides a simple, compact and efficient 90-line pedagogical MATLAB code for topology optimization using hexagonal elements (honeycomb tessellation). Hexagonal elements provide nonsingular connectivity between two juxtaposed…

Computational Engineering, Finance, and Science · Computer Science 2022-05-03 Prabhat Kumar

This study introduces a novel approach to composite design by employing aperiodic monotiles, shapes that cover surfaces without translational symmetry. Using a combined computational and experimental approach, we study the fracture behavior…

Applied Physics · Physics 2023-09-13 Jiyoung Jung , Ailin Chen , Grace X. Gu

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

Strongly Correlated Electrons · Physics 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst
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