Results 51 to 60 of about 507,439 (357)
Constrained Willmore Tori and Elastic Curves in 2-Dimensional Space Forms
, 2014 In this paper we consider two special classes of constrained Willmore tori in the 3-sphere. The first class is given by the rotation of closed elastic curves in the upper half plane - viewed as the hyperbolic plane - around the x-axis.
Heller, Lynn
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A Property of Euler's Elastic Curve [PDF]
Elemente der Mathematik, 2000 Legendre’s formula for the classical elliptic integrals is discussed.
Judith L. Nowalsky +3 more
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Nano Convergence, 2018 The dynamics of nanopore formation in metal membranes using the highly focused and high energy electron beams (e-beams) of transmission electron microscopy instruments was investigated.
Hyun-Mi Kim +6 more
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AIMS Mathematics, 2022 Aiming at the initial value problems of variable coefficient nonlinear ordinary differential equations, this paper introduces the elastic transformation method into the process of solving the initial value problems of nonlinear ordinary differential ...
Lin Fan +5 more
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B\'ezier curves that are close to elastica
, 2018 We study the problem of identifying those cubic B\'ezier curves that are close in the L2 norm to planar elastic curves. The problem arises in design situations where the manufacturing process produces elastic curves; these are difficult to work with in a
Brander, David +3 more
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Environmental bias and elastic curves on surfaces [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 The behavior of an elastic curve bound to a surface will reflect the geometry of its environment. This may occur in an obvious way: the curve may deform freely along directions tangent to the surface, but not along the surface normal. However, even if the energy itself is symmetric in the curve's geodesic and normal curvatures, which control these ...
Dulce María Valencia +2 more
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Analysis of Elastic Characteristics of Carbonate Reservoirs
Vestnik Permskogo Universiteta: Seriâ Geologiâ, 2023 The purpose of this study is to analyze the elastic characteristics of the carbonate reservoirs of the Bashkirian and Moscovian Stages of the middle section of the Carboniferous system of the oil field.
M. A. Khazieva +2 more
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Regression-Based Elastic Metric Learning on Shape Spaces of Elastic Curves [PDF]
arXiv, 2022 We propose a metric learning paradigm, Regression-based Elastic Metric Learning (REML), which optimizes the elastic metric for geodesic regression on the manifold of discrete curves. Geodesic regression is most accurate when the chosen metric models the data trajectory close to a geodesic on the discrete curve manifold.
arxiv
Fractal pattern formation at elastic-plastic transition in heterogeneous materials
, 2009 Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly-plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random fluctuations in ...
Feder +25 more
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Interlaminate Deformation in Thermoplastic Composite Laminates: Experimental-Numerical Correlation
EPJ Web of Conferences, 2010 The interlaminar deformation behaviors of thermoplastic AS4/PEEK composite laminates subjected to static tensile loading are investigated by means of microscopic moiré interferometry with high spatial resolution. The fully threedimensional orthotropic
Fang Y., Wang S., Tong J., Shen M.
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