Results 31 to 40 of about 2,587 (298)
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
openaire +2 more sources
Materials & Design, 2023 Triply periodic minimal surfaces (TPMSs) are common in energy, aerospace, optics, and medical fields. Although many works focus on substantially tuning the anisotropy for a hybrid lattice with various TPMS types, tuning the anisotropy for a single TPMS ...
Nan Yang +3 more
doaj +1 more source
SLAS Technology, 2023 The design of biomimetic porous scaffolds has been gaining attention in the biomedical sector lately. Shells, marine sponges, shark teeth, cancellous bone, sea urchin spine, and the armadillo armor structure are examples of biological systems that have ...
Raffaele Pugliese, Serena Graziosi
doaj +1 more source
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.
openaire +2 more sources
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
openaire +3 more sources
Materials & Design, 2019 Triply Periodic Minimal Surface (TPMS) structures fabricated via Additive Manufacturing (AM) have recently emerged as being appropriate candidates for high-value engineered structures, including porous bio-implants and energy absorbing structures.
Eric Yang +13 more
doaj +1 more source
Journal of Materials Research and Technology, 2023 The sandwich structure based on Triply periodic minimal surface (TPMS) is a lightweight and high-strength multifunctional composite material that combines the versatility of heat exchange, impact resistance, and energy absorption, and has been widely ...
Pengfei Zhang +8 more
doaj +1 more source
Mean survival times of absorbing triply periodic minimal surfaces
Physical Review E, 2009 14 pages, 5 figures, 1 ...
Gevertz, J., Torquato, S.
openaire +3 more sources
Evaluation of Cellular Solids Derived From Triply Periodic Minimal Surfaces [PDF]
Volume 2: Materials; Biomanufacturing; Properties, Applications and Systems; Sustainable Manufacturing, 2016 Cellular solids are a class of materials that have many interesting engineering applications, including ultralight structural materials [1]. The traditional method for analyzing these solids uses convex uniform polyhedral honeycombs to represent the geometry of the material [2], and this approach has carried over into the design of digital cellular ...
Cellucci, Daniel, Cheung, Kenneth C.
openaire +2 more sources
Journal of Materials Research and Technology, 2023 With the fast development in the field of additive manufacturing, triply periodic minimal surface (TPMS) based porous media have recently found many uses in mechanical property tuning.
Marco Sauermoser-Yri +8 more
doaj +1 more source