Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 25 for “"minimal surface"”.
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Triply Periodic Minimal Surface Lattices for Mechanically Tuning Structures and Designing Multifunctional Devices
… of metamaterials called triply periodic minimal surface (TPMS) lattices. These lattices are beneficial for not only mechanically tuning structures but also their large surface area to volume ratio. Large surface area provides a large interaction site that can be leveraged in different …
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A Mathematical Development of Minimal Surface Theory: From Soap Films to Black Holes
<p>Minimal surfaces are a special subset of surfaces that have gone through a long and extensive development and have also led to many fruitful findings in mathematics. Several periods that are key to the progression of the theory are coined as Golden Ages for the field’s development. Here, a …
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Additive manufacturing of triply periodic minimal surface informed load bearing stiffness matched tibial bone scaffold
… of titanium scaffolds based on Triply Periodic Minimal Surface (TPMS) structures to create bone implants that effectively match the mechanical properties of the tibia. The primary goal is to design and fabricate titanium (Ti6Al4V) scaffolds that provide optimal load-bearing capacity while …
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Foliations For Quasi-Fuchsian 3-Manifolds
… that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 1), then it admits a foliation such that each leaf is a surface of constant mean curvature. The key method that we use here is volume preserving mean curvature flow.
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Mean curvature flow self-shrinkers with genus and asymptotically conical ends
This doctoral dissertation is on the theory of Minimal Surfaces and of singularities in Mean Curvature Flow, for smooth submanifolds Y" in an ambient Riemannian (n+ 1)-manifold Nn+1, including: (1) New asymptotically conical self-shrinkers with a symmetry, in R"+1. (1') Classification of complete …
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Min-max minimal surfaces in 3-manifolds
… sequence converging as varifolds to a smooth minimal surface (possibly disconnected, and with multiplicities). We prove a conjecture of Pitts-Rubinstein about how such a min-max sequence can degenerate; namely we show that after doing finitely many disk surgeries and isotopies on the sequence, …
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Design of an aluminum-powered reverse osmosis desalination system for disaster relief
… from aluminum by first treating it with a minimal surface coating of gallium and indium (<3% by mass) and then reacting it with water to produce hydrogen, which can supply a fuel cell or internal combustion engine to generate electricity, and heat, which can be used to desalinate and purify …
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Mid- to late Cretaceous Microbiostratigraphy, Palaeo-ecology and Palaeogeography of the Sergipe Basin, northeastern Brazil
… affinity and suggest that this area had at least minimal surface water exchange with low latitude central North Atlantic-western Tethyan bioprovinces, even possibly at intermediate (epi- to mesopelagic) water depths.
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Conformal and asymptotic properties of embedded genus-g minimal surfaces with one end
… in their study of the structure of embedded minimal surfaces in R3 [12, 19-22], we investigate the conformal and asymptotic properties of complete, embedded minimal surfaces of finite genus and one end. We first present a more geometric proof of the uniqueness of the helicoid than the …
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Gauge/Gravity Duality: Recovering the Bulk from the Boundary using AdS/CFT
… subsystems on the boundary to the area of static minimal surfaces) to recover the bulk metric. Using null and zero-energy spacelike boundary-to-boundary geodesic probes, we show that for classes of static, spherically symmetric, asymptotically AdS spacetimes, one can find analytic expressions for …
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Hydrologic Modeling of Irregular Tile Drainage Systems
… An analytical solution to the problem of subsurface flow to a single tile was proposed and evaluated. This solution was incorporated into a description of infiltration which accounts for variable moisture conditions and complex precipitation patterns. Together, the tile flow solution and the …
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The Self-Assembly, Optical Response and Stretch Tunability of Plasmonic Nanoparticle Monolayers
… increases the degree of enhancement observed in surface enhanced Raman spectroscopy. By manipulating forces such as interfacial tension and by tuning the electrostatic repulsion exhibited by charge stabilised nanoparticles, the fabrication of long-range organised structures can be directed. …
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Multiscale Structures and Mechanics of Biomineralized Lattices in Hexactinellid sponges and Echinoderms
… calcite in nanoscale and diamond triply periodic minimal surface (diamond-TPMS) lattice in microscale. It has three unique structural features: 1) microlattice dislocations in ossicles similar to those found in crystals with diamond cubic lattice; 2) a diamond-TPMS microlattice with ca. 50% …
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Aspects of the reflected entropy
… inside the entanglement wedge, called reflected minimal surfaces. From the bulk point of view, we show that half the area of the reflected minimal surface, in Planck units, gives a reinterpretation of the notion of the entanglement wedge cross-section. In doing so, we address the connection with …
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Minimalflächen und Björlingsches Problem in der Relativgeometrie
… drei Schwerpunkte: Zuerst befassen wir uns mit Minimalflächen bezüglich verschiedener Volumina und der Rolle der jeweiligen Mittleren Krümmung. Wir berechnen die erste und zweite Variation der Volumina, die von den Normalen der erwähnten Familien induziert werden. Hierbei stellen wir fest, daß …
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Predator species identification from saliva at kill sites with limited remains
… applied to larger carcasses that provide ample surface area to collect epithelial saliva cells. This study demonstrates the usefulness of a saliva-swabbing method for smaller prey with minimal surface area, including kill sites with almost no prey remains or even just a radio-collar left behind. …
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Two-dimensional material based layer transfer of thin film devices
… reusability and adding additional costs for surface refurbishment processes. This thesis proposes a novel layer transfer process, termed two-dimensional material based layer transfer (2DLT), which prepares thinfilm semiconductors by facile mechanical exfoliation to yield a clean wafer surface …
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Binder Infill Pattern Design Strategies for Increased Mechanical Properties in Binder Jet Additive Manufacturing Parts
… various internal strut based or triply periodic minimal surface (TPMS) lattice infill patterns, is applied to balance the tradeoff between green and sintered part properties that result from reduced binder usage. An octet infill part was found to have an 85% reduction in green part strength from …
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From Pine Cones to Minimal Surfaces: The Geometry and Mechanics of Morphing Bilayers
… de-localisation of the boundary layer, noting a minimal surface for opposite-sense prestressing for two-dimensional de-localisation. This dissertation thus provides an insight into the role edge effects play on bilayers in the context of disparate planform geometries, which we further combine …
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Elastic properties of architectured cellular materials and biological materials (equine hoof wall)
… of cellular materials based on triply periodic minimal surfaces (TPMS) and the analytical modeling of the elastic response of a horse hoof wall. TPMS structures have smooth surfaces with no sharp corners making them promising candidates for superior mechanical properties materials. The horse …
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