The Effect of Elastic Surface Coating on the Finite Deformation and Bifurcation of a Pressurized Circular Annulus |
| |
Authors: | RW Ogden DJ Steigmann DM Haughton |
| |
Institution: | (1) Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 80W, UK;(2) Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720, USA;(3) Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, UK |
| |
Abstract: | A plane-strain theory of an elastic solid coated with a thin elastic film on part or all of its boundary was developed recently
by Steigmann and Ogden (1997a). In this paper the theory is applied to the (plane-strain) problem of a thick-walled circular
cylindrical tube which is subject to both internal and external pressure and which has an elastic coating on one or both of
its circular cylindrical boundaries. The effect of the coating on the symmetrical response of the annular cross-section of
the tube is determined first. It is noted, in particular, that while the pressure may exhibit a maximum followed by a minimum
during inflation for an uncoated tube it may be a monotonic increasing function of the radius for a coated tube with coating
elastic modulus sufficiently large. Next, the possibility of bifurcation from a symmetrical configuration is examined and
again the influence of the coating is analysed. The effect of a coating on the outer boundary is compared with that on the
inner boundary. Specifically, during compression, coating on the outer boundary delays bifurcation compared with the uncoated
case. On the other hand, when the coating is on the inner boundary, bifurcation is either delayed or advanced relative to
the uncoated situation depending on the values of the bending stiffness and tube thickness parameters. Generally, bifurcation
is delayed by an increase in the magnitude of the bending stiffness of the coating at fixed values of the other parameters.
This revised version was published online in August 2006 with corrections to the Cover Date. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|