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Derivation of the nonlinear bending–torsion model for a junction of elastic rods

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Publication:2895832
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DOI10.1017/S0308210510000491zbMath1316.74036arXiv1102.2649MaRDI QIDQ2895832

Igor Velčić, Josip Tambača

Publication date: 4 July 2012

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2649


zbMATH Keywords

gamma-convergencethree-dimensional nonlinear elasticitydisplacement continiuty


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30)


Related Items (4)

Optimal design of vascular stents using a network of 1D slender curved rods ⋮ Geometric optimization of vascular stents modeled as networks of 1D rods ⋮ A biodegradable elastic stent model ⋮ Asymptotic analysis of a junction of hyperelastic rods




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