Results 31 to 40 of about 6,535 (319)
Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space [PDF]
, 2020 Consider the Lorentz-Minkowski $3$-space $\mathbb{L}^3$ with the metric $dx^2+dy^2-dz^2$ in canonical coordinates $(x,y,z)$. A surface in $\mathbb{L}^3$ is said to be separable if satisfies an equation of the form $f(x)+g(y)+h(z)=0$ for some smooth ...
Kaya, Seher, López, Rafael
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Triply periodic minimal surfaces bounded by vertical symmetry planes [PDF]
manuscripta mathematica, 2008 We give a uniform and elementary treatment of many classical and new triply periodic minimal surfaces in Euclidean space, based on a Schwarz-Christoffel formula for periodic polygons in the plane. Our surfaces share the property that vertical symmetry planes cut them into simply connected pieces.
Fujimori, Shoichi, Weber, Matthias
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Materials & Design, 2022 Lattices based on triply periodic minimal surfaces (TPMS) have recently attracted increasing interest, but their additive manufacturing (AM) is fraught with imperfections that compromise their structural integrity.
Fabian Günther +6 more
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Materials & Design, 2019 Gyroid is a member of the triply periodic minimal surfaces (TPMS) family. In this paper, the mechanical properties of Gyroid-structures are investigated both experimentally and computationally.
Diab W. Abueidda +5 more
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Materials & Design, 2022 Triply periodic minimal surfaces (TPMS) - based porous structures have been universally adopted for mimicking the properties of bone scaffolds due to their interconnected geometries with smooth surfaces and controllable pores.
Sijia Zou +6 more
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Triply periodic minimal and constant mean curvature surfaces [PDF]
Interface Focus, 2012 We want to summarize some established results on periodic surfaces which are minimal or have constant mean curvature, along with some recent results. We will do this from a mathematical point of view with a general readership in mind.
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Two new embedded triply periodic minimal surfaces of genus 4 [PDF]
manuscripta mathematica, 2020 We add two new 1-parameter families to the short list of known embedded triply periodic minimal surfaces of genus 4 in $\mathbb{R}^3$. Both surfaces can be tiled by minimal pentagons with two straight segments and three planar symmetry curves as boundary.
Daniel Freese +3 more
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Stability of bicontinuous cubic phases in ternary amphiphilic systems with spontaneous curvature [PDF]
, 1999 We study the phase behavior of ternary amphiphilic systems in the framework of a curvature model with non-vanishing spontaneous curvature. The amphiphilic monolayers can arrange in different ways to form micellar, hexagonal, lamellar and various ...
Anderson D. M. +15 more
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Materials & Design, 2019 The physical and mechanical properties of cellular materials not only depend on the constituent materials but also on the microstructures. Here we show that, when the cellular materials are constructed by self-repeated representative volume elements ...
Zeyao Chen +5 more
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An orthorhombic deformation family of Schwarz' H surfaces
, 2020 The classical H surfaces of H. A. Schwarz form a 1-parameter family of triply periodic minimal surfaces (TPMS) that are usually described as close relatives to his more famous P surface. However, a crucial distinction between these surfaces is that the P
Chen, Hao, Weber, Matthias
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