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Triply periodic minimal surface using a modified Allen–Cahn equation

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibao Li, Shimin Guo
openaire   +2 more sources

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
openaire   +1 more source

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

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   +5 more
openaire   +1 more source

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   +3 more
openaire   +1 more source

Algorithmic Modelling of Triply Periodic Minimal Surface

2017
In the planning process design has always preceded the construction phase. The act of designing is an opportunity to organise one’s ideas, manage resources and predict results, and is made possible through the use of dedicated instruments. Pencils, pens, compasses and other simple instruments have slowly been refined, remaining largely unchanged over ...
openaire   +2 more sources

Characterization of additively manufactured triply periodic minimal surface structures under compressive loading

Mechanics of Advanced Materials and Structures, 2022
David Ranz   +2 more
exaly  

Mechanical behavior and deformation mechanism of triply periodic minimal surface sheet under compressive loading

Mechanics of Advanced Materials and Structures, 2021
Xinxin Wang   +2 more
exaly  

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