1,156 research outputs found

    Graduate Recital: Eric Hoang, tuba

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    Graduate Recital: Eric Hoang, tuba

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    Simulation of Single-Lap Bonded and Hybrid (Bolted/Bonded) Joints with Flexible Adhesive

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    Balanced single-lap bonded and hybrid (bolted/bonded) joints with flexible adhesives have been studied using finite element analysis. The two-dimensional plane strain and three-dimensional analyses have been carried out. Geometrical and material nonlinearities were taken into account. Flexible adhesives were modelled using hyperelastic Mooney–Rivlin potentials. Joint stiffness, as well as adhesive stress distribution, in the overlap has been investigated. The sensitivity of mechanical response to the compressibility of the adhesive material has been demonstrated. Numerical analyses of hybrid (bolted/bonded) joints showed their fatigue life is longer than corresponding bolted joints

    Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons

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    Graphene zigzag nanoribbons, initially in a topologically ordered state, undergo a topological phase transition into crossover phases distinguished by quasi-topological order. We computed mutual information for both the topologically ordered phase and its crossover phases, revealing the following results: (i) In the topologically ordered phase, A-chirality carbon lines strongly entangle with B-chirality carbon lines on the opposite side of the zigzag ribbon. This entanglement persists but weakens in crossover phases. (ii) The upper zigzag edge entangles with non-edge lines of different chirality on the opposite side of the ribbon. (iii) Entanglement increases as more carbon lines are grouped together, regardless of the lines' chirality. No long-range entanglement was found in the symmetry-protected phase in the absence of disorder.Comment: A featured paper published in a special issue titled 'Entanglement Entropy and Quantum Phase Transitions' within the journal 'Entropy'. (This is the published version.

    Phase Diagram and Crossover Phases of Topologically Ordered Graphene Zigzag Nanoribbons: Role of Localization Effects

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    We computed the phase diagram of the zigzag graphene nanoribbons as a function of on-site repulsion, doping, and disorder strength. The topologically ordered phase undergoes topological phase transitions into crossover phases, which are new disordered phases with a nonuniversal topological entanglement entropy with significant variance. The topological order is destroyed by competition between localization effects and on-site repulsion. We found that strong on-site repulsion and/or doping weakens the nonlocal correlations between the opposite zigzag edges. In one of the crossover phases, both e−2\frac{e^-}{2} fractional charges and spin-charge separation were absent; however, charge-transfer correlations between the zigzag edges were possible. Another crossover phase contains e−2\frac{e^-}{2} fractional charges, but no charge transfer correlations. In low-doped zigzag ribbons the interplay between electron localization and on-site repulsion contributes to the spatial separation of quasi-degenerate gap-edge states and protects the charge fractionalization against quantum fluctuations. In all these effects, mixed chiral gap-edge states play an important role. The properties of nontopological strongly disordered and strongly repulsive phases are also observed. Each phase of the phase diagram has a different zigzag-edge structure
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