A dynamical theory of elastic directed curves

DOI10.1007/BF01595560zbMath0181.52803MaRDI QIDQ2535207

A. B. Whitman, Carl N. DeSilva

Publication date: 1969

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

mechanics of solids

Related Items (16)

A conserved quantity in thin body dynamics ⋮ Rods with stretched cross sections: Inertia terms ⋮ Thin-walled beams as directed curves ⋮ Thermodynamical Theory of Directed Curves ⋮ Waves and instability in simple orthotropic elastic rods ⋮ Extension of non-linear beam models with deformable cross sections ⋮ Elastic rods with stretched cross-sections ⋮ Shock waves in curved beams ⋮ A further work on directed rods ⋮ An exact solution in a nonlinear theory of rods ⋮ Elastoplastic law of Cosserat type in shell theory with drilling rotation ⋮ A mathematical model of the spine based on mixture theory of directed curves ⋮ On a nonlinear theory of thin rods ⋮ Decay of acceleration waves in elastic rods ⋮ Constitutive equations for curved and twisted, initially stressed elastic rods ⋮ Stability in a linear theory of elastic rods

Cites Work

• Exact theory of stress and strain in rods and shells
• Korn inequalities for the sphere and circle
• The variational theory of the plane motion of the extensible elastica
• A theory of transversely isotropic fluids

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