On the bifurcations of the Lamé solutions in plane-strain elasticity

Coman, C.D. and Liu, X. (2012) On the bifurcations of the Lamé solutions in plane-strain elasticity. International Journal of Non-Linear Mechanics, 47(2), pp. 135-143. (doi: 10.1016/j.ijnonlinmec.2011.03.015)

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Abstract

We consider the in-plane bifurcations experienced by the Lamé solutions corresponding to an elastic annulus subjected to radial tension on the curved boundaries. Numerical investigations of the relevant incremental problem reveal two main bifurcation modes: a long-wave local deformation around the central hole of the domain, or a material wrinkling-type instability along the same boundary. Strictly speaking, the latter scenario is related to the violation of the Shapiro–Lopatinskij condition in an appropriate traction boundary-value problem. It is further shown that the main features of this material instability mode can be found by using a singular-perturbation strategy.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Coman, Dr Ciprian
Authors: Coman, C.D., and Liu, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:International Journal of Non-Linear Mechanics
ISSN:0020-7462

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