scholarly journals Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space

2018 ◽  
Author(s):  
Shoichi Fujimori
Keyword(s):  
Mean Curvature ◽  
Triply Periodic ◽  
Zero Mean Curvature

scholarly journals Modeling Symmetric Minimal Surfaces by Mesh Subdivision

2021 ◽  
pp. 249-254
Author(s):  
Stefano Rosso ◽  
Andrea Curtarello ◽  
Federico Basana ◽  
Luca Grigolato ◽  
Roberto Meneghello ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Minimal Surfaces ◽  
Mean Curvature ◽  
Geometric Modeling ◽  
Mechanical Response ◽  
Triply Periodic Minimal Surfaces ◽  
Triply Periodic ◽  
Enhanced Properties ◽  
Manufacturing Technologies ◽  
Zero Mean Curvature

AbstractThanks to the great diffusion of additive manufacturing technologies, the interest in lattice structures is growing. Among them, minimal surfaces are characterized by zero mean curvature, allowing enhanced properties such as mechanical response and fluidynamic behavior. Recent works showed a method for geometric modeling triply periodic minimal surfaces (TPMS) based on subdivision surface. In this paper, the deviation between the subdivided TPMS and the implicit defined ones is investigated together with mechanical properties computed by numerical methods. As a result, a model of mechanical properties as a function of the TPMS thickness and relative density is proposed.

scholarly journals Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space

2014 ◽  
Vol 63 (1) ◽  
pp. 189-207 ◽  
Author(s):  
Shoichi Fijimori ◽  
Wayne Rossman ◽  
Masaaki Umehara ◽  
Kotaro Yamada ◽  
Seong-Deog Yang
Keyword(s):  
Mean Curvature ◽  
Mixed Type ◽  
Triply Periodic ◽  
Zero Mean Curvature

scholarly journals Timelike surfaces with zero mean curvature in Minkowski 4-space

2013 ◽  
Vol 196 (1) ◽  
pp. 413-433 ◽  
Author(s):  
Georgi Ganchev ◽  
Velichka Milousheva
Keyword(s):  
Mean Curvature ◽  
Zero Mean Curvature
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