Nonlinear stability of rotating pseudo-rigid bodies

DOI10.1098/rspa.1990.0014zbMath0697.73045OpenAlexW2172204161MaRDI QIDQ3474954

Debra Lewis, Juan C. Simo

Publication date: 1990

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/5010

zbMATH Keywords

Hamiltonian structureMooney-Rivlin materialenergy criteriaBaker-Ericksen inequalitiesaffine deformationsCiarlet-Geymonatdefiniteness of the second variation of a modified Hamiltonianenergy- momentum methodnearly diagonal second variationrotating homogeneous elastic bodiesspecial parameterization of the constrained space of admissible variationsSt. Venant-Kirchhoffstability of a relative equilibrium

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

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