Abstract

We consider the elastic deformation of a circular cylindrical sector composed of an incompressible isotropic soft solid when it is straightened into a rectangular block. In this process, the circumferential line elements on the original inner face of the sector are stretched while those on the original outer face are contracted. We investigate the geometrical and physical conditions under which the latter line elements can be contracted to the point where a localized incremental instability develops. We provide a robust algorithm to solve the corresponding two-point boundary value problem, which is stiff numerically. We illustrate the results with full incremental displacement fields in the case of Mooney–Rivlin materials and also perform an asymptotic analysis for thin sectors.

Autore Pugliese

• Sgura Ivonne

Tutti gli autori

• M. Destrade , R.W. Ogden , I. Sgura , L. Vergori

Titolo volume/Rivista

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Anno di pubblicazione

2014

ISSN

0022-5096

ISBN

Non Disponibile

Numero di citazioni Wos

4

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

4

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile