Results 31 to 40 of about 3,090,394 (363)
A Survey of the Elastic Flow of Curves and Networks [PDF]
Milan Journal of Mathematics, 2020 We 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.
C. Mantegazza +2 more
semanticscholar +1 more source
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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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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Characteristics of energy evolution during total stress-strain in rocks under uniaxial compression
Meikuang Anquan, 2023 To study the energy evolution of rocks under uniaxial compression, uniaxial compression and uniaxial step loading and unloading tests were performed on granite, sandstone, and coal, and the stress-strain curves under different conditions were obtained ...
LI Dongwen +3 more
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Fractal pattern formation at elastic-plastic transition in heterogeneous materials [PDF]
, 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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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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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
openaire +4 more sources
, 2010 Motivated by the problem of finding an explicit description of a developable narrow Moebius strip of minimal bending energy, which was first formulated by M. Sadowsky in 1930, we will develop the theory of elastic strips. Recently E.L.
Chubelaschwili, David, Pinkall, Ulrich
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Mechanical Characterization of Anchor under Uniaxial Compression Loading Conditions
Advances in Materials Science and Engineering, 2022 Bolt reinforcement technology plays an important role in supporting the construction of many engineering fields, and the uniaxial loading characteristics and behavior tests of anchors have great significance to the research and application of anchors ...
Guanglin Sun +4 more
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