Straightening: existence, uniqueness and stability

Abstract

One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed. Particular attention is paid to the system of forces required to sustain the large static deformation, including by the application of end couples. The influence of geometric parameters and constitutive models on the appearance of wrinkles on the compressed face of the block is also studied. Different numerical methods for solving the incremental stability problem are compared and it is found that the impedance matrix method, based on the resolution of a matrix Riccati differential equation, is the more precise.


Autore Pugliese

Tutti gli autori

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

Titolo volume/Rivista

PROCEEDINGS - ROYAL SOCIETY. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES


Anno di pubblicazione

2014

ISSN

1471-2946

ISBN

Non Disponibile


Numero di citazioni Wos

4

Ultimo Aggiornamento Citazioni

28/04/2018


Numero di citazioni Scopus

4

Ultimo Aggiornamento Citazioni

22/04/2018


Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile