The limits of Hamiltonian structures in three-dimensional elasticity, shells, and rods

DOI10.1007/BF02433809zbMath0860.73036OpenAlexW4242776167MaRDI QIDQ1911762

Zhong Ge, Jerrold E. Marsden, Hans-Peter Kruse

Publication date: 23 April 1997

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02433809

zbMATH Keywords

weak convergenceconstitutive equationsdensity energyPoisson's bracketsalmost embedding theoremconstrained director modelCosserat director methodJacobi's relation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Membranes (74K15) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation, The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity, Large Time Existence for Thin Vibrating Plates, Lagrangian and Hamiltonian two-scale reduction, A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus

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