Boundary value problems for Euler-Bernoulli planar elastica. A solution construction procedure
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Publication:1987624
DOI10.1007/s10659-019-09755-7zbMath1436.53004OpenAlexW2991084271WikidataQ126779055 ScholiaQ126779055MaRDI QIDQ1987624
Josu Arroyo, Óscar J. Garay, Álvaro Pámpano
Publication date: 15 April 2020
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-019-09755-7
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Curves in Euclidean and related spaces (53A04) Optimality conditions for problems involving ordinary differential equations (49K15) Boundary value problems for ordinary differential equations (34B99)
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Cites Work
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- Morse theory for elastica
- The total squared curvature of closed curves
- Extremals of the generalized Euler-Bernoulli energy and applications
- A direct variational approach to a problem arising in image reconstruction
- Unified representations of nonlinear splines
- Curve straightening and a minimax argument for closed elastic curves
- On the planar \textit{elastica}, stress, and material stress
- Boundary value problems for variational integrals involving surface curvatures
- Existence, regularity and structure of confined elasticae
- The influence of elasticity on analysis: The classic heritage
- The Curve of Least Energy
- A unique graph of minimal elastic energy
- A vortex filament moving without change of form
- Existence of free nonclosed Euler–Bernoulli elastica
- Euler's Elastica and Curvature-Based Inpainting
- The vortex filament in the Minkowski 3-space and generalized bi-Schrödinger maps
- A soliton on a vortex filament
- The Curtain Rod Problem
- Conformal tension in string theories and M-theory
