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 ShapiroLopatinskij 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.
| Language | English |
|---|---|
| Pages | 135-143 |
| Number of pages | 9 |
| Journal | International Journal of Non-Linear Mechanics |
| Volume | 47 |
| Issue number | 2 |
| Early online date | 2 Apr 2011 |
| DOIs | |
| Publication status | Published - Mar 2012 |
| Externally published | Yes |
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On the bifurcations of the Lamé solutions in plane-strain elasticity. / Coman, Ciprian D.; Liu, Xiang.
In: International Journal of Non-Linear Mechanics, Vol. 47, No. 2, 03.2012, p. 135-143.Research output: Contribution to journal › Article
TY - JOUR
T1 - On the bifurcations of the Lamé solutions in plane-strain elasticity
AU - Coman, Ciprian D.
AU - Liu, Xiang
PY - 2012/3
Y1 - 2012/3
N2 - 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 ShapiroLopatinskij 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.
AB - 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 ShapiroLopatinskij 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.
KW - Incremental elasticity
KW - Loss of ellipticity
KW - Singular perturbations
KW - Surface instability
UR - http://www.scopus.com/inward/record.url?scp=84858297926&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2011.03.015
DO - 10.1016/j.ijnonlinmec.2011.03.015
M3 - Article
VL - 47
SP - 135
EP - 143
JO - International Journal of Non-Linear Mechanics
T2 - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
SN - 0020-7462
IS - 2
ER -