Additively Manufactured Scaffolds with Optimized Thickness Based on Triply Periodic Minimal Surface [PDF]
Materials, 2022 Yuan Jin, Junhua Wang
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Mechanical Strength of Triply Periodic Minimal Surface Lattices Subjected to Three-Point Bending [PDF]
Polymers, 2022 Hungyuan Li, Jyun-Hong Pan
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Additive Manufacturing of Porous Silicon Nitride Inspired by Triply Periodic Minimal Surface [PDF]
3D Printing and Additive Manufacturing, Shengwu Huang, Shanghua Wu
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Study on the Energy Absorption Performance of Triply Periodic Minimal Surface (TPMS) Structures at Different Load-Bearing Angles [PDF]
Biomimetics, Yongtao Lu, Lyu Yongtao
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On limits of triply periodic minimal surfaces
Annali di Matematica Pura ed Applicata (1923 -), 2018A minimal surface in \(\mathbb{R}^3\) is said to be periodic if it is connected and invariant under a group \(\Gamma\) of isometries of \(\mathbb{R}^3\) that acts properly discontinuously and freely. This paper under review is focussed on the triply periodic case, i.e., \(\Gamma\) is chosen to be a rank-three lattice in \(\mathbb{R}^3\).
Norio Ejiri +2 more
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Stability of triply periodic minimal surfaces
Differential Geometry and its Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ejiri, Norio, Shoda, Toshihiro
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New families of triply periodic minimal surfaces
Journal of the Chemical Society, Faraday Transactions, 1994The 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, 1993In 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, 2002A 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, 2022Cellular 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 +4 more
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