An arterial graft with a corrugated cylindrical cross-section has been
proposed as a partial solution to the problem of elastic stiffness mi
smatch between conventional grafts and arterial tissue (Trescony et al
., 1994, US Patent 5,282, 847 (granted February 1 1994)). A two-dimens
ional ring theory model and a finite element shell theory model are us
ed to study the inflation under uniform interior pressure of grafts wi
th noncircular cross-sections as a first approximation to their behavi
or in vivo. For the physically relevant range of area expansions (typi
cally 7-10%) and pressures (8-18 kPa), corrugations can significantly
reduce the graft stiffness in comparison to conventional circular cros
s-section grafts. (C) 1998 Elsevier Science Ltd. All rights reserved.