Results 1 to 10 of about 507,439 (357)
Approximation by planar elastic curves [PDF]
Adv. Comput. Math. (2016), 2015 We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good initial guess for the approximating curve.
Brander, David +2 more
arxiv +12 more sources
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
core +7 more sources
Black rubber and the non-linear elastic response of scale invariant solids [PDF]
Journal of High Energy Physics, 2020 We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry.
Matteo Baggioli +2 more
doaj +2 more sources
Elastic analysis of irregularly or sparsely sampled curves [PDF]
Biometrics, 2021 We provide statistical analysis methods for samples of curves when the image but not the parametrisation of the curves is of interest. A parametrisation invariant analysis can be based on the elastic distance of the curves modulo warping, but existing methods have limitations in common realistic settings where curves are irregularly and potentially ...
Lisa Steyer +2 more
arxiv +5 more sources
arXiv, 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. Starostin and G.H.M.
Chubelaschwili, David, Pinkall, Ulrich
arxiv +4 more sources
Curve-shortening flow of open, elastic curves in $\mathbb{R}^2$ with repelling endpoints: A minimizing movement approach [PDF]
arXiv, 2019 We study an $L^{2}$-type gradient flow of an immersed elastic curve in $\mathbb{R}^{2}$ whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movements scheme we prove long-time existence of the flow. The work is complemented by several numerical experiments.
Rufat Badal
arxiv +3 more sources
On the elastic closed plane curves [PDF]
Kodai Mathematical Journal, 1985 Hiroshi Yanamoto
openalex +4 more sources
Some minimization problems for planar networks of elastic curve
, 2017 In this note we announce some results that will appear in [6] (joint work with also Matteo Novaga) on the minimization of the functional $F(\Gamma)=\int_\Gamma k^2+1\,\mathrm{d}s$, where $\Gamma$ is a network of three curves with fixed equal angles at ...
Dall'Acqua, Anna, Pluda, Alessandra
core +3 more sources
Elastic Curves with Variable Bending Stiffness [PDF]
arXivWe study stationary points of the bending energy of curves $\gamma\colon[a,b]\to\mathbb{R}^n$ subject to constraints on the arc-length and total torsion while simultaneously allowing for a variable bending stiffness along the arc-length of the curve.
Gross, Oliver +2 more
arxiv +2 more sources
Formulation and Solution of Curved Beams with Elastic Supports
Tehnicki vjesnik - Technical Gazette, 2018 This article presents the general system of differential equations that governs the behaviour of a curved beam, which can be solved by either numerical or analytical methods. The obtained solution represents the matricial expression of transference. The stiffness matrix is derived directly rearranging the transfer matrix.
Fernando Sarria +4 more
openalex +8 more sources