English

Non-local fractional model of rate independent plasticity

Mathematical Physics 2014-02-24 v1 math.MP

Abstract

In the paper the generalisation of classical rate independent plasticity using fractional calculus is presented. This new formulation is non-local due to properties of applied fractional differential operator during definition of kinematics. In the description small fractional strains assumption is hold together with additive decomposition of total fractional strains into elastic and plastic parts. Classical local rate independent plasticity is recovered as a special case.

Keywords

Cite

@article{arxiv.1309.3698,
  title  = {Non-local fractional model of rate independent plasticity},
  author = {Wojciech Sumelka},
  journal= {arXiv preprint arXiv:1309.3698},
  year   = {2014}
}