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Static Kirchhoff rods under the action of external forces: integration via Runge-Kutta method

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Publication:470645
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DOI10.1155/2014/650365zbMath1302.74092OpenAlexW2055125489WikidataQ59050546 ScholiaQ59050546MaRDI QIDQ470645

Ademir Luis jun. Xavier

Publication date: 12 November 2014

Published in: Journal of Computational Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/650365


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)


Related Items

Unified static equilibrium modeling and analysis of elastic rods with large deformations for complex constraints



Cites Work

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  • Kirchhoff's theory of rods
  • The nonlinear dynamics of filaments
  • Solving the boundary value problem for finite Kirchhoff rods
  • Tendril perversion in intrinsically curved rods
  • Nonlinear dynamics of filaments. I: Dynamical instabilities
  • Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
  • Nonlinear dynamics of filaments. IV Spontaneous looping of twisted elastic rods
  • Towards a classification of Euler–Kirchhoff filaments
  • Helices
  • On the dynamics of elastic strips
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