Minimal surfaces and multifunctionality

By Salvatore Torquato, Aleksandar Donev. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004

149 citations recorded by the source corpus.

Subfields: Materials Chemistry, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/c92e892268b0c3cbd5b248bcd25717ba1abdaf6f

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Citations in the corpus

Toward an Ising Model of Cancer and Beyond (2010, unknown): “ant cells and malignant cells. Toward an Ising Model of Cancer and Beyond 28 9.2. Not So Obvious: Optimization and Cancer We also note that variational principles [62, 79] and optimization techniques [80, 81, 82, 83] have been fruitfully applied to design structures with optimal properties. Can opti”
Schwarz meets Schwann: Design and fabrication of biomorphic and durataxic tissue engineering scaffolds (2006, background): “Exploiting the thermodynamically stable nature (Eriksson and Ljunggren, 1994; Torquato and Donev, 2004) and high permeability (Jung and Torquato, 2005) of TPMS structures and the ability of the non-intersecting labyrinthine networks to incorporate and control release of drugs of varying size and…”
Mechanical performance of 3D printed interpenetrating phase composites with spinodal topologies (2021, background): “In addition, TPMS ‐ based IPCs have been shown to possess multi-functional extrema [35,36].”
Acoustic absorptions of multifunctional polymeric cellular structures based on triply periodic minimal surfaces fabricated by stereolithography (2020, background): “These structures also exhibit optimal energy absorption abilities (Maskery et al. 2017; Zhang et al. 2018), thermal and electrical conductivities (Torquato and Donev 2004), fluid permeability (Jung and Torquato 2005) and vibration isolation abilities (Elmadih et al. 2019), and thus have the…”
Bioinspired heat exchangers based on triply periodic minimal surfaces for supercritical CO2 cycles (2020, background): “TPMS topologies with no self-intersections can partition space into two disjoint yet intertwining channels, which are simultaneously continuous [25].”
Design of three dimensional isotropic microstructures for maximized stiffness and conductivity (2007, methodology): “As already noted, these structures were shown to be numerically optimal for maximum bulk modulus and conductivity by Torquato and Donev (2004).”
Design of maximum permeability material structures (2007, methodology): “[11,12] in the design of microstructures optimized for simultaneous transport of heat and electricity.”