Energy-based non-local plasticity models for deformation patterning, localization and fracture


Lancioni G., YALÇINKAYA T., Cocks A.

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.471, no.2180, 2015 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 471 Issue: 2180
  • Publication Date: 2015
  • Doi Number: 10.1098/rspa.2015.0275
  • Journal Name: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Keywords: gradient plasticity, non-convex energy, patterning, softening, localization, fracture, GRADIENT DAMAGE MODELS, MICROSTRUCTURE EVOLUTION, VARIATIONAL APPROACH, CRYSTAL PLASTICITY, BRITTLE, RELAXATION, MINIMIZATION, FORMULATION, POTENTIALS, SIMULATION

Abstract

© 2015 The Author(s) Published by the Royal Society. All rights reserved.This paper analyses the effect of the form of the plastic energy potential on the (heterogeneous) distribution of the deformation field in a simple setting where the key physical aspects of the phenomenon could easily be extracted. This phenomenon is addressed through two different (rate-dependent and rate-independent) non-local plasticity models, by numerically solving two distinct one-dimensional problems, where the plastic energy potential has different non-convex contributions leading to patterning of the deformation field in a shear problem, and localization, resulting ultimately in fracture, in a tensile problem. Analytical and numerical solutions provided by the two models are analysed, and they are compared with experimental observations for certain cases.