Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof
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Publication:4606498
DOI10.1007/978-981-10-3764-1_1zbMath1387.74063OpenAlexW2592230418MaRDI QIDQ4606498
Jean Jacques Alibert, Pierre Seppecher, Alessandro Della Corte
Publication date: 8 March 2018
Published in: Advanced Structured Materials (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11573/1095182
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (6)
Extensional \textit{Elastica} in large deformation as \(\Gamma \)-limit of a discrete 1D mechanical system ⋮ A third gradient elastic material resulting from the homogenization of a von Kármán ribbon‐reinforced composite ⋮ Nonlinear dynamics of uniformly loaded Elastica: Experimental and numerical evidence of motion around curled stable equilibrium configurations ⋮ Large Oscillations Around Curled Equilibrium Configurations of Uniformly Loaded Euler–Bernoulli Beams: Numerical and Experimental Evidences ⋮ Variational Methods for Discrete Geometric Functionals ⋮ Euromech 579, Arpino 3--8 April 2017: ``Generalized and microstructured continua: new ideas in modeling and/or applications to structures with (nearly)inextensible fibers -- a review of presentations and discussions
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