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A novel section–section potential for short-range interactions between plane beams

Borković, A. ; Gfrerer, M.H. ; Sauer, R.A. ; Marussig, B. ; Bui, T.Q.

Computer methods in applied mechanics and engineering, 2024-09, Vol.429, p.117143, Article 117143 [Periódico revisado por pares]

Elsevier B.V

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  • Título:
    A novel section–section potential for short-range interactions between plane beams
  • Autor: Borković, A. ; Gfrerer, M.H. ; Sauer, R.A. ; Marussig, B. ; Bui, T.Q.
  • Assuntos: Isogeometric analysis ; Lennard–Jones potential ; Plane Bernoulli–Euler beam ; Section–section interaction potential ; Steric exclusion ; van der Waals forces
  • É parte de: Computer methods in applied mechanics and engineering, 2024-09, Vol.429, p.117143, Article 117143
  • Descrição: We derive a novel formulation for the interaction potential between deformable fibers due to short-range fields arising from intermolecular forces. The formulation improves the existing section–section interaction potential law for in-plane beams by considering an offset between interacting cross sections. The new law is asymptotically consistent, which is particularly beneficial for computationally demanding scenarios involving short-range interactions like van der Waals and steric forces. The formulation is implemented within a framework of rotation-free Bernoulli–Euler beams utilizing the isogeometric paradigm. The improved accuracy of the novel law is confirmed through thorough numerical studies. We apply the developed formulation to investigate the complex behavior observed during peeling and pull-off of elastic fibers interacting via the Lennard–Jones potential.
  • Editor: Elsevier B.V
  • Idioma: Inglês

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