Analysis of necking based on a one-dimensional model

@inproceedings{Audoly2015AnalysisON,
title={Analysis of necking based on a one-dimensional model},
author={Basile Audoly and John W. Hutchinson},
year={2015}
}

Dimensional reduction is applied to derive a one-dimensional energy functional governing tensile necking localization in a family of initially uniform prismatic solids, including as particular cases rectilinear blocks in plane strain and cylindrical bars undergoing axisymmetric deformations. The energy functional depends on both the axial stretch and its gradient. The coefficient of the gradient term is derived in an exact and general form. The one-dimensional model is used to analyze necking… CONTINUE READING