Dissipative scale effects in strain-gradient plasticity: the case of simple shear
Mathematical Physics
2015-11-17 v2 Materials Science
math.MP
Abstract
We analyze dissipative scale effects within a one-dimensional theory, developed in [L. Anand et al. (2005) J. Mech. Phys. Solids 53], which describes plastic flow in a thin strip undergoing simple shear. We give a variational characterization of the {\emph{ yield (shear) stress}} --- the threshold for the inset of plastic flow --- and we use this characterization, together with results from [M. Amar et al. (2011) J. Math. Anal. Appl. 397], to obtain an explicit relation between the yield stress and the height of the strip. The relation we obtain confirms that thinner specimens are stronger, in the sense that they display higher yield stress.
Keywords
Cite
@article{arxiv.1501.05668,
title = {Dissipative scale effects in strain-gradient plasticity: the case of simple shear},
author = {Maria Chiricotto and Lorenzo Giacomelli and Giuseppe Tomassetti},
journal= {arXiv preprint arXiv:1501.05668},
year = {2015}
}