Derivation of the model of elastic curved rods from three-dimensional micropolar elasticity

DOI10.1007/s11565-007-0017-xzbMath1248.74021OpenAlexW1999906582MaRDI QIDQ1042575

Zvonimir Tutek, Josip Tambača, Ibrahim Aganović

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-007-0017-x

zbMATH Keywords

asymptotic methodone-dimensional modeljustificationmicropolar elasticityelastic curved rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Singular perturbations in context of PDEs (35B25) Polar materials (74A35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Evolution model for linearized micropolar plates by the Fourier method ⋮ Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity ⋮ Asymptotic modeling of the behavior of a reinforced plate governed by a full von Karman thermo-elastic system with nonlinear thermal coupling ⋮ A LARGE DEFORMATION, VISCOELASTIC, THIN ROD MODEL: DERIVATION AND ANALYSIS ⋮ Derivation of a model of nonlinear micropolar plate ⋮ Derivation of the model of elastic curved rods from three-dimensional micropolar elasticity ⋮ Evolution model of linear micropolar plate

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