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Tensorial Minkowski functionals of triply periodic minimal surfaces [PDF]
A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. A systematic approach to the characterization of average properties of anisotropic complex interfacial geometries is provided by integral geometry which furnishes a family of morphological ...
Mickel, W. +2 more
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Properties of Hyper-Elastic-Graded Triply Periodic Minimal Surfaces
The mechanical behaviors of three distinct lattice structures—Diamond, Gyroid, and Schwarz—synthesized through vat polymerization, were meticulously analyzed. This study aimed to elucidate the intricacies of these structures in terms of their stress–strain responses, energy absorption, and recovery characteristics.
Christopher W. Haney, Hector R. Siller
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Tetrahedron-Based Porous Scaffold Design for 3D Printing
Tissue repairing has been the ultimate goal of surgery, especially with the emergence of reconstructive medicine. A large amount of research devoted to exploring innovative porous scaffold designs, including homogeneous and inhomogeneous ones, have been ...
Ye Guo, Ke Liu, Zeyun Yu
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Vapor cooling shield is a key technology for long-term cryogenic propellant storage in space. Cooling channels with a triply periodic minimal surface embedded inside are expected to improve its cooling performance.
Toshiya FUKUZAKI +4 more
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Reflections concerning triply-periodic minimal surfaces [PDF]
In recent decades, there has been an explosion in the number and variety of embedded triply-periodic minimal surfaces (TPMS) identified by mathematicians and materials scientists. Only the rare examples of low genus, however, are commonly invoked as shape templates in scientific applications.
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Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space [PDF]
Consider the Lorentz-Minkowski $3$-space $\mathbb{L}^3$ with the metric $dx^2+dy^2-dz^2$ in canonical coordinates $(x,y,z)$. A surface in $\mathbb{L}^3$ is said to be separable if satisfies an equation of the form $f(x)+g(y)+h(z)=0$ for some smooth ...
Kaya, Seher, López, Rafael
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Triply periodic minimal surfaces bounded by vertical symmetry planes [PDF]
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
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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
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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
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Triply Periodic Minimal Surface-Based Heat Exchanger as Metal Hydride Hydrogen Storage Reactor
Sustainable energy production growth tends to move toward hydrogen as energy carrier. Metal hydride (MH) has been considered as a promising technology to store hydrogen effectively due to relatively low-pressure working condition and high energy density,
Luthfan Adhy Lesmana, Muhammad Aziz
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