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Topological boundary modes in isostatic lattices [PDF]
Nature Physics, 2013 Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science. The difference between the number of bonds and the number of degrees of freedom of these lattices determines the ...
Kane, C. L., Lubensky, T. C.
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AppliedMathTo address jagged boundaries in conventional fixed-mesh topology optimization and the discontinuous transfer of topology information after remeshing, this study proposes an improved Movable Morphable Smooth-Boundary (MMSB) method for displacement ...
Jiazheng Du +3 more
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Monoids, their boundaries, fractals and C*-algebras
Topological Algebra and its Applications, 2020 In this note we establish some connections between the theory of self-similar fractals in the sense of John E. Hutchinson (cf. [3]), and the theory of boundary quotients of C*-algebras associated to monoids.
dal Verme Giulia, Weigel Thomas
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Topology of the future chronological boundary: universality for spacelike boundaries [PDF]
Classical and Quantum Gravity, 2000 56 pages, AMS-TeX; 1 page of figure captions (TeX); 22 figures, EPS format; to be published in Quantum Class. Grav.; principal reason for replacement is to have the figures included (also, introduction is expanded slightly, and one example is simplified)
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A metrizable topology on the contracting boundary of a group [PDF]
Transactions of the American Mathematical Society, 2019 The ‘contracting boundary’ of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrically relevant, quasi-isometry invariant topology on the contracting boundary. When the space is the Cayley graph of a finitely generated group we show that our new topology is
Cashen, Christopher H., Mackay, John M.
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A Novel Mesh Quality Improvement Method for Boundary Elements
Journal of Applied Mathematics, 2012 In order to improve the boundary mesh quality while maintaining the essential characteristics of discrete surfaces, a new approach combining optimization-based smoothing and topology optimization is developed. The smoothing objective function is modified,
Hou-lin Liu +3 more
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Topological boundary modes in jammed matter [PDF]
Soft Matter, 2016 Granular matter at the jamming transition is poised on the brink of mechanical stability, and hence it is possible that these random systems have topologically protected surface phonons. Studying two model systems for jammed matter, we find states that exhibit distinct mechanical topological classes, protected surface modes, and ubiquitous Weyl points.
Sussman, Daniel M. +2 more
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Entanglement entropy of topological orders with boundaries [PDF]
Journal of High Energy Physics, 2018 Abstract In this paper we explore how non trivial boundary conditions could influence the entanglement entropy in a topological order in 2+1 dimensions. Specifically we consider the special class of topological orders describable by the quantum double.
Chen, Chaoyi +3 more
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Case Studies in Thermal EngineeringThis paper investigates the material distribution of non-uniform cross-sectional segmented thermoelectric generators (STEG). Based on topology optimization methods, the material is reasonably allocated to enhance the output power and conversion ...
Qiuchen Fu +4 more
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A level-set-based topology optimisation of carpet cloaking devices with the boundary element method
Mechanical Engineering Journal, 2016 We investigate a topology optimisation based on the level set method for a design problem of carpet cloaking devices. In topology optimisation of carpet cloaking devices, we need to calculate the electromagnetic response in a semi-infinite domain. We use
Kenta NAKAMOTO +3 more
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