Results 21 to 30 of about 3,008,618 (361)
Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive ...
Samira Latifi +2 more
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Geometric and topological approaches to shape variation in
Royal Society Open Science, 2021 Leaf shape is a key plant trait that varies enormously. The range of applications for data on this trait requires frequent methodological development so that researchers have an up-to-date toolkit with which to quantify leaf shape. We generated a dataset
Haibin Hang +3 more
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Planning rigid body motions using elastic curves [PDF]
Math. Control. Signals Syst., 2008 James Biggs, William Holderbaum
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Rolling Geodesics, Mechanical Systems and Elastic Curves
Mathematics, 2022 This paper defines a large class of differentiable manifolds that house two distinct optimal problems called affine-quadratic and rolling problem.
Velimir Jurdjevic
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Elastic analysis of irregularly or sparsely sampled curves [PDF]
Biometrics, 2021 We provide statistical analysis methods for samples of curves in two or more dimensions, where the image, but not the parameterization of the curves, is of interest and suitable alignment/registration is thus necessary.
Lisa Steyer, Almond Stöcker, S. Greven
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Additive Manufacturing Letters, 2022 The near-net-shape manufacturing in additive manufactured and cast of Al-Si alloys results in a heterogeneous solidification and cooling of the parts, leading to significant gradients in microstructural and defect features as well as deformation behavior.
Jochen Tenkamp +3 more
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Evolution characteristics of elastic energy storage of marble under creep loading
矿业科学学报, 2022 In order to study the energy absorption and transformation characteristics of marble, the release of strain energy and dissipation mechanism during creep process, this paper tested the stress-strain relationship of marble under uniaxial cyclic loading ...
Li Dongyang +4 more
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A Property of Euler's Elastic Curve [PDF]
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.
Judith L. Nowalsky +3 more
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Weak elastic energy of irregular curves
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023 A weak notion of elastic energy for (not necessarily regular) rectifiable curves in any space dimension is proposed. Ourp-energy is defined through a relaxation process, where a suitablep-rotation of inscribed polygons is adopted. The discretep-rotation we choose has a geometric flavour: a polygon is viewed as an approximation to a smooth curve, and ...
D. Mucci, A. Saracco
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Black rubber and the non-linear elastic response of scale invariant solids
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
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