Rigidity Theorems of Minimal Surfaces Foliated by Similar Planar Curves
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-017-0754-9
Abstract: Catenoids, Riemann’s minimal surfaces, and Scherk’s surfaces (doubly periodic minimal surfaces) are classical minimal surfaces in $$\mathbb {R}^3$$R3. The catenoid and Riemann’s minimal surface can be foliated by circles with different radii. Because the Scherk’s… read more here.
Keywords: minimal surface; surface; minimal surfaces; planar curves ... See more keywords
Uniqueness of critical points and maximum principles of the singular minimal surface equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.09.024
Abstract: Abstract We consider a smooth solution u > 0 of the singular minimal surface equation 1 + | D u | 2 div ( D u / 1 + | D u | 2 )… read more here.
Keywords: surface equation; singular minimal; maximum principles; minimal surface ... See more keywords
Performance-based design optimization for minimal surface based form
Sign Up to like & getrecommendations! Published in 2018 at "Architectural Science Review"
DOI: 10.1080/00038628.2018.1523130
Abstract: ABSTRACT Currently, many studies are being done using optimization tools. However, optimization studies done with complex geometry are limited. Even so, the move toward complex geometric forms is a feature in the world of contemporary… read more here.
Keywords: minimal surface; form; euclidean geometry; geometry ... See more keywords
Polarization-dependent reflection of I-WP minimal-surface-based photonic crystal.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.014123
Abstract: Brilliantly colored butterflies and weevils are known to utilize photonic crystals for their coloration. Interestingly, the morphology of such crystals made of cuticle is based on triply periodic minimal surfaces such as gyroid and diamond… read more here.
Keywords: photonic crystal; surface based; based photonic; surface ... See more keywords
Optimizing the pinch-off problem for gradient triply periodic minimal surface cellular structures manufactured by selective laser melting
Sign Up to like & getrecommendations! Published in 2020 at "Rapid Prototyping Journal"
DOI: 10.1108/rpj-11-2019-0298
Abstract: This study aims to focus on the optimized design and mechanical properties of gradient triply periodic minimal surface cellular structures manufactured by selective laser melting.,Uniform and gradient IWP and primitive cellular structures have been designed… read more here.
Keywords: gradient triply; minimal surface; periodic minimal; cellular structures ... See more keywords
The effect of architecture on the mechanical properties of cellular structures based on the IWP minimal surface
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Materials Research"
DOI: 10.1557/jmr.2018.1
Abstract: Architected materials are materials engineered to utilize their topological aspects to enhance the related physical and mechanical properties. With the witnessed progressive advancements in fabrication techniques, obstacles and challenges experienced in manufacturing geometrically complex architected… read more here.
Keywords: minimal surface; based iwp; lattice structures; mechanical properties ... See more keywords
Metrological characterization of porosity graded β-Ti21S triply periodic minimal surface cellular structure manufactured by laser powder bed fusion
Sign Up to like & getrecommendations! Published in 2023 at "International Journal of Bioprinting"
DOI: 10.18063/ijb.729
Abstract: The design of a functionally graded porous structure (FGPS) for use in prosthetic devices is crucial for meeting both mechanical and biological requirements. One of the most commonly used cellular structures in FGPS is the… read more here.
Keywords: laser powder; structure; triply periodic; periodic minimal ... See more keywords
X-ray Computed Tomography Procedures to Quantitatively Characterize the Morphological Features of Triply Periodic Minimal Surface Structures
Sign Up to like & getrecommendations! Published in 2021 at "Materials"
DOI: 10.3390/ma14113002
Abstract: Additively manufactured (AM) metallic sheet-based Triply Periodic Minimal Surface Structures (TPMSS) meet several requirements in both bio-medical and engineering fields: Tunable mechanical properties, low sensitivity to manufacturing defects, mechanical stability, and high energy absorption. However,… read more here.
Keywords: ray computed; minimal surface; surface; periodic minimal ... See more keywords
Additively Manufactured Scaffolds with Optimized Thickness Based on Triply Periodic Minimal Surface
Sign Up to like & getrecommendations! Published in 2022 at "Materials"
DOI: 10.3390/ma15207084
Abstract: Triply periodic minimal surfaces (TPMS) became an effective method to design porous scaffolds in recent years due to their superior mechanical and other engineering properties. Since the advent of additive manufacturing (AM), different TPMS-based scaffolds… read more here.
Keywords: scaffolds optimized; optimized thickness; triply periodic; periodic minimal ... See more keywords
Imperfections Formation in Thin Layers of NiTi Triply Periodic Minimal Surface Lattices Fabricated Using Laser Powder Bed Fusion
Sign Up to like & getrecommendations! Published in 2022 at "Materials"
DOI: 10.3390/ma15227950
Abstract: In this paper, thin layers of NiTi shape memory alloy (SMA) triply periodic minimal surface lattices (TPMS) are fabricated using laser powder bed fusion (LPBF), considering different laser scanning strategies and relative densities. The obtained… read more here.
Keywords: layers niti; laser; thin layers; triply periodic ... See more keywords
Mechanical Strength of Triply Periodic Minimal Surface Lattices Subjected to Three-Point Bending
Sign Up to like & getrecommendations! Published in 2022 at "Polymers"
DOI: 10.3390/polym14142885
Abstract: Sandwich panel structures (SPSs) with lattice cores can considerably lower material consumption while simultaneously maintaining adequate mechanical properties. Compared with extruded lattice types, triply periodic minimal surface (TPMS) lattices have light weight but better controllable… read more here.
Keywords: surface; tpms lattices; triply periodic; periodic minimal ... See more keywords