Abstract
This work investigates the asymptotic structure of a boundary-value problem proposed recently in connection with in-plane instabilities of spinning disks. Assuming an orthotropic elastic material with cylindrical symmetry we consider a perturbation with respect to the constitutive behavior. The material is assumed to be very stiff in the azimuthal direction, a situation which is commonly encountered in the case of composite flywheels based on hoop-wound carbon fibers in a flexible polyurethane resin. The accuracy of the asymptotic strategy is confirmed by a number of direct computer simulations of the original problem.
Original language | English |
---|---|
Pages (from-to) | 3-17 |
Number of pages | 15 |
Journal | Mathematics and Mechanics of Solids |
Volume | 16 |
Issue number | 1 |
Early online date | 22 Oct 2009 |
DOIs | |
Publication status | Published - 1 Jan 2011 |
Externally published | Yes |