SMS scnews item created by Philip Treharne at Fri 4 May 2007 1328
Type: Seminar
Distribution: World
Expiry: 9 May 2007
Calendar1: 9 May 2007 1400-1500
CalLoc1: Eastern Avenue Lecture Theatre

Applied Maths Seminar: Rogers -- On a Novel Class of Nonlinear Elastic Materials

DATE: Wednesday, May 9 
TIME: 2:00pm 
LOCATION: University of Sydney, Eastern AvenueLecture Theatre (Level 1) 


A class of infinitesimal B\"acklund transformations is used to construct model
constitutive laws for which the nonlinear system describing uniaxial wave propagation
may be reduced to a canonical form associated with Hookean response in an asymptotic
limit.  The stress strain laws are given parametrically in terms of elliptic functions.
Importantly, these models can allow a change in concavity in the stress strain law.
Such behaviour can occur, for instance, in the loading and unloading regimes of
superelastic nickel-titanium.  Biocompatibility of the latter has led to its widespread
use in medical devices (stents etc).