The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity

Scardia, L. (2006) The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity. Asymptotic Analysis, 47(3-4), pp. 317-343.

Abstract

The problem of the rigorous derivation of one-dimensional models for nonlinearly elastic curved beams is studied in a variational setting. Considering different scalings of the three-dimensional energy and passing to the limit as the diameter of the beam goes to zero, a nonlinear model for strings and a bending-torsion theory for rods are deduced.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Scardia, Dr Lucia
• Authors: Scardia, L.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Asymptotic Analysis
• Publisher: IOS Press
• ISSN: 0921-7134
• ISSN (Online): 1875-8576
• Copyright Holders: Copyright © 2006 IOS Press
• First Published: First published in Asymptotic Analysis 47(3-4):317-343
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher