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Mechanical Homogenisation of TPMS Architectures: A Comparison Between Finite Element and Mechanics of Structure Genome Approaches. [PDF]
Mouman S +5 more
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New Families of Embedded Triply Periodic Minimal Surfaces of Genus Three in Euclidean Space
Adam G. Weyhaupt
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The order complex. Generating Triply Periodic Minimal surface structures
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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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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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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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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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