Bifurcation and Post-Bifurcation Phenomena of Elastic-Plastic Circular Tubes Subjected to External Shrinking under Plane Strain Condition
Bifurcation and post-bifurcation phenomena of thick-walled elastic-plastic circular tubes subjected to uniform shrinking are analyzed numerically under a plane strain condition. Bifurcation analysis to determine the condition for onset of bifurcation away from the axisymmetric deformation is carried out along the framework due to Hill. In order to simulate the development of shear band generating from the nonlinear growth of surface undulation over the traction-free inner surface, a finite element analysis of uniform compression of a block is performed under the plane strain condition.
KeywordsShear Band Plane Strain Condition Bifurcation Analysis Equivalent Plastic Strain Surface Undulation
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