Results 11 to 20 of about 442,232 (288)
SIAM Journal on Applied Mathematics, 2010 We consider the problem of minimizing Euler's elastica energy for simple closed curves confined to the unit disk. We approximate a simple closed curve by the zero level set of a function with values +1 on the inside and -1 on the outside of the curve.
Dondl, Patrick W. +2 more
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A Survey of the Elastic Flow of Curves and Networks [PDF]
Milan Journal of Mathematics, 2021 AbstractWe collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In particular, we give a complete proof of global existence and smooth convergence to critical points of the solution of the elastic flow of closed curves in$${\mathbb {R}}^2$$
Carlo Mantegazza +2 more
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A Property of Euler's Elastic Curve
Elemente der Mathematik, 2000 Euler and Legendre found formulas for certain products of elliptic integrals. Legendre's proof is sketched, and Euler's method is generalized to prove a more general formula which may be interpreted as a property of a curve generalizing Euler's elastic curve.
Moll, Victor H. +3 more
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On the new approach for the energy of elastica
Acta Scientiarum: Technology, 2018 In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41.
Talat Körpınar, Rıdvan Cem Demirkol
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Morphological analysis of cells by means of an elastic metric in the shape space [PDF]
, 2020 Shape analysis is of great importance in many fields, such as computer vision, medical imaging, and computational biology. This analysis can be performed considering shapes as closed planar curves in the shape space.
Epifanio, Irene +2 more
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A univariate method for plane elastic curves [PDF]
Computer Aided Geometric Design, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guido Brunnett, Jörg Wendt
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Micromachines, 2022 The laser ultrasound (LU) technique has been used to determine dispersion curves for surface acoustic waves (SAW) propagating in AlScN/Al2O3 systems.
Elena A. Mayer +7 more
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Nonlocal Elasticity Response of Doubly-Curved Nanoshells [PDF]
Symmetry, 2020 In this paper, we focus on the bending behavior of isotropic doubly-curved nanoshells based on a high-order shear deformation theory, whose shape functions are selected as an accurate combination of exponential and trigonometric functions instead of the classical polynomial functions.
Mohammad Hassan Dindarloo +3 more
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Axial Compression Behaviour and Modelling of Pultruded Basalt-Fibre-Reinforced Polymer (BFRP) Tubes
Buildings, 2023 Laminated fibre-reinforced polymer (FRP) tubes are increasingly used as compression members in large-span spatial structures due to their high bearing capacity, corrosion resistance, and superior stability compared to high-strength steel pipes.
Chuntao Zhang, Yu Chen, Mei Dou
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Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers
Open Mathematics, 2018 This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso +2 more
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