Nonlinear stability criteria for tree-like structures composed of branched elastic rods
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Publication:2901833
DOI10.1098/rspa.2011.0291zbMath1243.74091OpenAlexW2103205473MaRDI QIDQ2901833
Daniel M. Peters, Oliver M. O'Reilly
Publication date: 31 July 2012
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2011.0291
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Optimality conditions for free problems in one independent variable (49K05) Junctions (74K30)
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An improved proof of instability of some Euler elasticas ⋮ Dynamics regularization with tree-like structures
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Cites Work
- Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads
- Modeling the growth and branching of plants: a simple rod-based model
- Tendril perversion in intrinsically curved rods
- On stability analyses of three classical buckling problems for the elastic strut
- On the evolution of intrinsic curvature in rod-based models of growth in long slender plant stems
- A simplified formulation of adhesion problems with elastic plates
- Conjugate Points Revisited and Neumann–Neumann Problems
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