On the equations governing nonlinear symmetric Kirchhoff's elastic rods
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Publication:2360046
DOI10.4171/RLM/759zbMATH Open1417.35198MaRDI QIDQ2360046
Giuseppe Saccomandi, Edvige Pucci
Publication date: 23 June 2017
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (8)
Invariant solutions and constitutive laws for a nonlinear elastic rod of variable cross-section ⋮ Equilibrium configurations of the noncircular cross-section elastic rod model with the elliptic KB method ⋮ Symmetric and nonsymmetric equilibria of a rod-and-spring model ⋮ Variational principles for nonlinear Kirchhoff rods ⋮ Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations ⋮ Euler-Lagrange equations for nonlinearly elastic rods with self-contact ⋮ Analytical reduction of the non-circular Kirchhoff elastic rod model with the periodically varying bending rigidities ⋮ SYMMETRY-RELATIONS FOR ELASTICALLY DEFORMED PERIODIC ROD-STRUCTURES
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