Results 241 to 250 of about 2,237,494 (278)

New families of triply periodic minimal surfaces

Journal of the Chemical Society, Faraday Transactions, 1994
The established results regarding balanced minimal surfaces of orthorhombic symmetry are analysed and supplemented here. We commence by reviewing the simplest examples, possessing a genus value (per unit cell) of 3. From this foundation we construct a generalised approach, and apply it to the next simplest cases.
Andrew Fogden, Markus Haeberlein
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Triply periodic minimal balance surfaces: a correction

Acta Crystallographica Section A Foundations of Crystallography, 1993
In previous papers, 15 families of minimal balance surfaces that can be generated with the aid of disc-like surface patches were noted. Recently, it has become apparent that the inherent symmetry of two of these families, the C(S) surfaces and the Y surfaces, is higher than the symmetry used for their generation.
E. Koch, W. Fischer
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On Triply Periodic Minimal Balance Surfaces

Structural Chemistry, 2002
A strategy for finding all triply periodic minimal balance surfaces (TPMBS) will be sketched mainly on the basis of fundamental domains of space group pairs of index 2. Some possibilities are confirmed, but there is no TPMBS for the space group pair Ia\({\bar 3}\)/Pa\({\bar 3}\), as formerly conjectured.
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Design procedure for triply periodic minimal surface based biomimetic scaffolds

Journal of the Mechanical Behavior of Biomedical Materials, 2022
Cellular additively manufactured metallic structures for load-bearing scaffolds in the context of bone tissue engineering (BTE) have emerged as promising candidates. Due to many advantages in terms of morphology, stiffness, strength and permeability compared to conventional truss structures, lattices based on triply periodic minimal surfaces (TPMS ...
Fabian Günther, Markus Wagner, Stefan Pilz, Annett Gebert, Martina Zimmermann   +4 more
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The computation of the triply periodic I-WP minimal surface

Chemical Physics Letters, 1994
Abstract We give parametric equations for Schoen's I-WP triply periodic embedded minimal surface in terms of the Gauss hypergeometric function. The equations lead to new exact formulae for the normalization factor, surface area and the normalized surface-to-volume ratio, and enable a straightforward low-cost computation of the surface.
Djurdje Cvijović, Jacek Klinowski
openaire   +1 more source

Polymer Structures with the Topology of Triply Periodic Minimal Surfaces

Glass Physics and Chemistry, 2017
Using 3D printing, plastic products with the topology of triply periodic minimal surfaces (TPMS) are prepared and their mechanical properties are studied. It is shown that the strength of the products is sufficient to apply them as sandwich panels and they have promising prospects as anechoic platings.
V. Ya. Shevchenko, M. M. Sychev, A. E. Lapshin, L. A. Lebedev, A. A. Gruzdkov, A. M. Glezer   +5 more
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Triply periodic minimal surface using a modified Allen–Cahn equation

Applied Mathematics and Computation, 2017
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Yibao Li, Shimin Guo
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Surrogate Models of Stress for Triply Periodic Minimal Surface Lattices

Computer Methods in Applied Mechanics and Engineering
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sy Nguyen-Van, Guha Manogharan, Lan-Hsuan Huang, Julián A. Norato   +3 more
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Negatively curved graphite and triply periodic minimal surfaces

Journal of Mathematical Chemistry, 1994
The Weierstrass representation has been used to construct negatively curved graphite in which atoms rest no a perfect triply periodic minimal surface. By applying the Bonnet transformation on a patch of the D surface decorated with graphite we have been able to construct the Gyroid and P minimal surfaces.
H. Terrones, A. L. Mackay
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Triply periodic minimal surfaces decorated with curved graphite

Chemical Physics Letters, 1993
Abstract Hypothetical negatively curved structures derived from graphite are described, in which all carbon atoms rest on triply periodic minimal surfaces (TPMS). The D minimal surface was calculated using the Weierstrass representation. By applying the Bonnet transformation to the D surface, the gyroid and P surfaces were constructed.
Humbeto Terrones, Alan L. Mackay
openaire   +1 more source