Skip to Main content Skip to Navigation
Journal articles

Numerical methods versus asymptotic expansion for torsion of hollow elastic beam.

Abstract : We consider the torsion problem for a hollow elastic beam. In a series of papers dell'Isola et al.(1994, [5, 7]) a uniform method for the derivation of classical formulas for the torsional rigidity by Bredt, Prandtl and Vlasov was derived using an asymptotic expansion. We show that this expansion yields useful approximations for torsional rigidity if properly applied. Note that it does not converge in general. For the evaluation we use a numerical solution obtained by a Finite Difference Method. Finally, we examine the results of both methods for two example domains.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00498888
Contributor : Francesco Dell'Isola <>
Submitted on : Thursday, July 8, 2010 - 7:30:54 PM
Last modification on : Friday, November 23, 2018 - 3:38:02 PM
Long-term archiving on: : Thursday, December 1, 2016 - 6:54:37 AM

File

dellisola-frischmuth-hanler.pd...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00498888, version 1

Citation

Kurt Frischmuth, Michael Hänler, Francesco Dell'Isola. Numerical methods versus asymptotic expansion for torsion of hollow elastic beam.. Technische Mechanik, Magdeburger Verein für Technische Mechanik e.V., 1995, pp.10. ⟨hal-00498888⟩

Share

Metrics

Record views

577

Files downloads

279