A model of a general elastic curved rod

DOI10.1002/mma.315zbMath1023.74024OpenAlexW2052750135MaRDI QIDQ4543622

Anca Ignat, Dan Tiba, Juergen Sprekels

Publication date: 8 August 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.315

zbMATH Keywords

existenceuniquenesscoercivityvariable cross-sectionDarboux framelow geometrical regularityassociated bilinear formC(1)-parametrizationnine ordinary differential equationsthree-dimensional curved rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (4)

Numerical Locking Problems for Parabolic Equations ⋮ Numerical Locking Problems for Hyperbolic Equations ⋮ The method of ray expansions for solving boundary-value dynamic problems for spatially curved rods of arbitrary cross-section ⋮ A Reduction Approximation Method for Curved Rods

Cites Work

• MIXED FINITE ELEMENT METHODS FOR ONE-DIMENSIONAL PROBLEMS: A SURVEY
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