The optimal asymptotic behaviour of the Korn-Poincare inequality constant due to anysotropic shrinking of the open set is proved together with a description of an elastic-perfectly plastic cantilever as a variational limit of an elastic micro-fractured 2D-body.
Scaled Korn-Poincare inequality in BD and a model of elastic plastic cantilever
PERCIVALE, DANILO;
2000-01-01
Abstract
The optimal asymptotic behaviour of the Korn-Poincare inequality constant due to anysotropic shrinking of the open set is proved together with a description of an elastic-perfectly plastic cantilever as a variational limit of an elastic micro-fractured 2D-body.
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