Type: Seminar

Distribution: World

Expiry: 9 May 2007

Auth: philip@pisa.maths.usyd.edu.au

DATE: Wednesday, May 9 TIME: 2:00pm LOCATION: University of Sydney, Eastern AvenueLecture Theatre (Level 1) Abstract: 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). http://www.maths.usyd.edu.au/u/AppliedSeminar ------------------------------------------------------------------------