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- W4301091640 abstract "We present some novel equilibrium shapes of a clamped Euler beam (Elastica from now on) under uniformly distributed dead load orthogonal to the straight reference configuration. We characterize the properties of the minimizers of total energy, determine the corresponding Euler-Lagrange conditions and prove, by means of direct methods of calculus of variations, the existence of curled local minimizers. Moreover, we prove some sufficient conditions for stability and instability of particular solutions of the Euler-Lagrange conditions that can be applied to numerically found curled shapes." @default.
- W4301091640 created "2022-10-04" @default.
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- W4301091640 date "2016-10-25" @default.
- W4301091640 modified "2023-09-28" @default.
- W4301091640 title "Equilibria of a clamped Euler beam (Elastica) with distributed load: large deformations" @default.
- W4301091640 doi "https://doi.org/10.48550/arxiv.1610.07814" @default.
- W4301091640 hasPublicationYear "2016" @default.
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